for the sequence a^n = a^n-1 + a^n-2 and a^1 = 3, a^2 = 4, its first term is _________ its second term is __________ its third term is ___________ its fourth term is ______________ its fifth term is _____________

Q: Find 65th term of the arithmetic sequence with first term 5 and common difference -1/2

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Q: A town has a population of 5000 persons, but is expected to grow by 2% every year. 1. What would be…

A: Given A town has a population of 5000 persons, but is expected to grow by 2% every year. 1. What…

Q: What is the 100th term of the sequence –3, 2, 7, 12, ...?

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Q: A geometric sequence whose first term = 2 and whose sixth term = 64, i) find the first six terms ii)…

A: The nth term of a geometric progression or a geometric sequence with first term and common ratio r…

Q: Provide an Arithmetic Sequence, by either giving a General rule or explicitly listing the first five…

A: We have to provide an Arithmetic Sequence, by either giving a General rule or explicitly listing the…

Q: For the sequence an = 2(an- - 2) and a1 = 3, its first term is its second term is its third term is…

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Q: Explain why 12,6,4,3 is a harmonic sequence. Find its nth term.

A: the given sequence is 12,6,4,3. write the reciprocals of the terms, 112,16,14,13 now note that:…

Q: Find the sum of the first 40 terms of the sequence 9, 18, 27, 36, ...

A: 9, 18, 27, 36, ........ It is an arithmetic sequence with, First term=a=9Common difference=d=9

Q: Which sequence could be described by the recursive definition: tn+1 = -1(tn) + 3 O A. (-9, 6, -3, 0,…

A: Given recursive formula is tn+1=-1tn+3.

Q: What is a sequence? What notation do we use to denote the terms of a sequence?

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Q: Find the sum of the first 100 terms of an arithmetic sequence with 15th term of 86 and first term of…

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Q: What is the sum of the first 10 terms of the sequence {300, 150, 75, ...}?

A: Given: 300,150,75,...... Formula Used: Sn=a1-rn1-r

Q: Which geometric sequence has a first term equal to 55 and a common ratio of -5?

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Q: Find the indicated term of the geometric sequence. 9th term of 1, - 1, 1, ... Enter the 9th term of…

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Q: What is the general formula and the 40th term of the linear sequence -6, 1, 8, 15, 22, ...

A: The linear sequence is -6,1,8,15,22......

Q: Find the seventh term and the sum of the first seven terms of the geometric sequence 6, −3,32, −34,…

A: Given: A geometric sequence is given.6, -3, 32, -34, ... To Find: The seventh term and the sum of…

Q: 2 The common ratio of the sequence 13 1) - 2) 3 3) -- 4) --

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Q: What is the 9th term of this sequence ?

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Q: Find the first six terms of the sequence. a1 = -3, an = an-1 + 8 %3D

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Q: The sequence 8, 32, 128, 512, … represents the number of sit-ups Billy did during each workout…

A: Given, 8,32,128,512... Recursive rule means using previous number to get the next sequence number.…

Q: Find the first 10 terms of the sequence an Зп + 2. its 9th term is its 10th term is

A: Given that

Q: Find the 10th term of the geometric sequence. aj1 = -5, r = - %3D %3D 10th term:

A: →nth term any geometric sequence is given by,                            an = a1 rn-1 , Where a1  is…

Q: It is a sequence where every term after the first is obtained by multiplying a non-zero constant. O…

A: To tell which is the sequence where every term after the first is obtained by multiplying a non-zero…

Q: Write out the first 5 terms for an algebraic sequence starting with 8 with a rate of change of 4.…

A: The first term  of the sequence is 8 i.e a=8 ,and the rate of change is 4. So, let ratio between the…

Q: Identify the 4th term of the sequence.

A: A sequence is a set of numbers that has a particular order or obeys a general form. As per the…

Q: A geometric sequence is a sequence in which theof successive terms is constant.

A: In a geometric sequence, the ratio between successive terms is constant. Geometric sequences grow or…

Q: The first, third and sixth terms of an arithmetic sequence form 3 successive terms of a geometric…

A: We use basic of arithmetic progression and geometric progression.

Q: What is the first term of a geometric sequence which fourth term is -40 and with common ratio of -2?

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Q: A sequence in which each term after the first differs from the preceding term by a constant amount…

A: A sequence in which each term after the first differs from the preceding term by a constant amount…

Q: Call a three-term strictly increasing arithmetic sequence of integers special if the sum of the…

A: Assume the first terms and the common difference. Let first term be a-d and common difference be…

Q: A patient takes 102 mg of a drug at the same time every day. Just before each tablet is taken, 5% of…

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Q: Find the indicated term of the geometric sequence. 9th term of 1, - 1, 1, . Enter the 9th term of…

A: nth term of geometric sequence is given by =an=a1rn-1 Where r=a2/a1

Q: 1,4, 16, 64, ... Identify the type of sequence: How do you know:. Explicit equation: Recursive…

A: The given sequence is 1, 4, 16, 64, ... It is same as 40, 41, 42, 43, ... Now answer the given…

Q: Find the first term and the common difference of the arithmetic sequence whose 7th term is −5 and…

A: In airthmetic sequenceuse formula nth term tn=a+n-1d7th term t7=a+7-1d=-5a+6d=-5--116th term…

Q: Find the sum of the first 30 terms of the arithmetic sequence: 7, 3, -1, -5, . .

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Q: A town has a population of 5000 persons, but is expected to grow by 2% every year. (i) What would…

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Q: Find the 30th term of the arithmetic sequence negative-4, negative-1, 2, 5, 8, …

A: We have to find

Q: A town has a population of 5000 persons, but is expected to grow by 2% every year. (i) What would…

A: Solution: From the given information, the town has a population of 5000 persons. But it is expected…

Q: A town has a population of 5000 persons, but is expected to grow by 2% every year. What would be…

A: The sequence given in second part of the question doesn't seem to be correct. Repost the question…

Q: Find the first 10 terms of the sequence An 2n + 3. its 9th term is its 10th term is

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Q: the sum of the first 40 terms of the arithmetic sequence.   −16​,−25​,−34​,−43​,...

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Q: Write the first four terms of sequence whose general term is given an = 3n + 2.

A: Given: an=3n+2 To Find: First four term of the sequence whose general term is given.

Q: Find the 70th term of the arithmetic sequence 18, 34, 50,

A: Given,           The arithmetic sequence is 18, 34, 50.....and so on.

Q: Find the first 10 terms of the sequence a, = 3n + 3. its 9th term is its 10th term is

A: Given : an = 3n + 3

Q: An arithmetic sequence has a first term of 0 and a 9th term of 12. Which term number corresponds to…

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Q: Find the first 10 terms of the sequence an 5n + 2. its 9th term is its 10th term is

A: To find the first ten terms of the sequence substitute n=1,2,3,........9,10 in an

Q: Find the first term and the common difference of the arithmetic sequence whose 9th term is – 17 and…

A: The general form of arithmetic sequence is a,a+d,a+2d,......,Where a  is the first term of the…

Q: a. What would be the population size in 7 years. b. Fund the sum of the first eight terms of the…

A: Given; P0=5000 Rate=2%=0.02 the sum of the first eight terms of the sequence 18,-14,12,.... Formula…

Q: Find the nth term of a sequence whose first several terms are given. 2/3, 3/4 , 4/5, 5/6

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.