The sum of the first n terms of an arithmetic sequence is Sn = bn - 2n2. Find b if the tenth term is -16. %3D A 4 9. 17 22 C.

Q: Write the first five terms of the geometric sequence. a1 = 5,   r = 2

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Q: Write the first five terms of the geometric sequence a1 = 4, r = 3.

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Q: Find the indicated term of the arithmetic sequence with first term, a1, and common difference, d.…

A: a1=13  &  d=4

Q: Find the indicated term for the arithmetic sequence with first term, a,, and common difference, d.…

A:

Q: Write the explicit form of the equation for the arithmetic sequence whose initial term a1 and common…

A: The solution are next step

Q: The sum of the first 50 terms in the arithmetic sequence 50 + 48 + 46 + ... Is A. 98 D. -52 В. 50 E.…

A: In this question we are given with a series and we have to find the sum of first 50 trends of the…

Q: Write the first five terms of the geometric sequence: a1 = 1/2, r = 1/2

A: Known fact: A geometric sequence is of the form: a, ar, ar2, ar3, ⋯, arn-1, ⋯

Q: Find the 7" term of the geometric sequence 0,0, 0, .. Answer:

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Q: I. Write the first five terms of each sequence. 1. an = 12 – 3n

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Q: Write the first five terms of the geometric sequence a1 = 5, r = 3.

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Q: Find the 78th term of an arithmetic sequence with a 1 = 64 and d= −11.

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Q: Write the first six terms of arithmetic sequence an+1 = an + 5, a1 = -2.

A: Arithmetic sequence is sequence in which terms are obtained by adding a fixed value to the last…

Q: Write the first six terms of the arithmetic sequence with the given first term, a,, and common…

A: Given a1=400,d=40. We find first six terms of the arithmetic sequence with given first term a1 and…

Q: Write the first five terms of the geometric sequence. a 1 = 3; r = 1/4

A:

Q: Write the first five terms of the geometric sequence.

A: Known fact: A Geometric sequence is of the form a,   ar,  ar2,  ar3,  ⋯⋯  where a is first term and…

Q: Write the first five terms of the geometric sequence a1 = 3, r = 2.

A: For the given geometric sequence: a1=3,r=2 We know,nth term of a geometric sequence is given by:…

Q: Write the first five terms of the geometric sequence: a1 = 16, r = - 1/2

A: A geometric sequence is a sequence in which each term is found by the multiplying previous term by…

Q: sum S16 for the arithmetic sequence with a = 7, d = 8.

A: Given data:     The first term of the arithmetic sequence is: a=7 The common difference of the…

Q: Write the first n terms of the geometric sequence a1=m/n r=n/m n=4

A: We to write the first n terms of geometric series  Given : a1 = m/4 r = 4/m   and n = 4  To write: 4…

Q: Write the first five terms of the sequence. an (5n – 4) 3.

A: Given : an = 13n5n-4

Q: Write the first four terms of the sequence whose general term is given.   an = (-10)n+1 a1= a2= a3=…

A:

Q: Write the first five terms of the sequence {an}. 1 (-1)n + 11) a1 = 3, an + 1 = an

A: We can solve as follows

Q: Write the first five terms of a geometric sequence with a1 = 120 and r=2/3

A: Formula:

Q: Write the first five terms of the sequence where the first term is –12 and the common difference is…

A:

Q: An arithmetic sequence has terms as = 14 and a11 = 35. Find a1. a. -35 b. 4 с. -12 d. е. -28

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Q: Write the first six terms of the arithmetic sequence: a1 = 7, d = 4

A: Given : a1=7d=4

Q: Write the first six terms of arithmetic sequence a1 = 7, d = 4.

A: Formula to evaluate Arithmetic sequence an=a1+(n-1)d

Q: Find the 7th term of the arithmetic sequence with a 10 50 and a 19 = 104. 6. b. 38 с. -4 а. 32 d.

A: Arithmatic sequence is given byan=a+(n-1)×dwhere, a is the first term and d is the common difference…

Q: Write the first 5 terms of the arithmetic sequence with a1=-4 and d=5

A: General term of arithmetic progression

Q: Give the first 4 terms of the geometric sequence with a = 10 and r = 4. Give your answers as reduced…

A: Given: The first term of the geometric sequence is a=110and the common ratio is r=4. To find: · a1·…

Q: Find the common difference d for the arithmetic sequence 4, 5, 6, 7,...

A: The arithmetic series is given as 4, 5, 6, 7...

Q: Write the first five terms of the geometric sequence with a1=18 and r=-1/3.

A:

Q: Find the indicated term of the arithmetic sequence with first term, a1, and common difference, d.…

A: As we know the nth term of airthmetic sequence with first term a1 and common diffrence d is…

Q: Write the first 5 terms of the arithmetic sequence with a1=-3 and d=5.

A:

Q: Find the indicated term of the arithmetic sequence with first term, a1, and common difference, d.…

A: Given that a1=-32d=4

Q: What is the value of a 25 in the geometric sequence represented by a1 = 4 and r 1.5?

A:

Q: Find the indicated term of the arithmetic sequence a1= 3, d=-5, a6=?

A: Given: a1=3 and d=-5 in the arithmetic sequence.

Q: The sum of the first n terms of an arithmetic sequence is S, = bn – 2n². Find b if the tenth term is…

A:

Q: Write the first six terms of the arithmetic sequence: an = an-1 -0.4, a1 =1.6

A: We have to write first six terms of the arithmetic sequence where an=an-1-0.4 and first term a1=1.6.…

Q: Find r and a, for the geometric sequence with a4 = 5 and ag 625 (Simplify your answer. Type an…

A: The 4th and 9th term of a geometric sequence are given as a4=5,   a9=1625 respectively,  the value…

Q: Write the first four terms of the geometric sequence with a 1= 4 and r=3/2

A:

Q: What is the first term in the geometric sequence given that a4 = 40 and r = -? %3D 2

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Q: Write the first five terms of the arithmetic sequence defined recu = 2.5, a 0+1=3 +0.75 (0 82 N 33…

A:

Q: Find the indicated term of the arithmetic sequence with first term, a1, and common difference, d.…

A: Given: a1=9,d=2

Q: Write the first six terms of the arithmetic sequence an = an-1 - 0.4, a1 = 1.6.

A: We have given recurrence relation between terms of arithmetic sequence an=an-1-0.4 and a1=1.6 We…

Q: Find S_10 given a geometric sequence with a_2=160 and r=5/4

A:

Q: Write the first five terms of the geometric sequence: a1 = 3, r = 2

A: It is given that a1 = 3, r = 2   formula used: nth terms of the geometric sequence is an=a1rn-1

Q: Find a2 and a3 for the geometric sequence. 12, a2, a3, (4)/(9)

A: Given: a1=12, a4=49 we know that for geometric sequence first four terms is given as a, ar, ar2, ar3…

Q: Determine the general form for the arithmetic sequence whose 5th term is 10 and consecutive terms…

A: the fifth term is 10  the common difference d=-4 the general term of the Arithmetic series is given…

Q: Write the first 6 terms of the arithmetic sequence with the given properties. a=5 d=3

A: Need to find first 6 term.of AP

Family of Curves

A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.

XZ Plane

In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.  

Euclidean Geometry

Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.

Lines and Angles

In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.