Find the common difference d and the nth term an of the arithmetic sequence

Q: Find the 23rd term of the arithmetic sequence whose common difference is d =5 and whose first term…

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Q: Find the 20"" term of the arithmetic sequence whose common difference is d= 5 and whose first term…

A: The formula to find the nth term in arithmetic sequence is given below: an=a1+n-1d where, a1 is the…

Q: Find the common difference and the sum of the first 5 terms of the arithmetic sequence. an = 5n – 2

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Q: Find a, and a, for the arithmetic sequence. 10 口

A: Find your answer below

Q: Find the nth term and the indicated term of the arithmetic sequence {a_(n)} whose initial term, a,…

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Q: Find the nth term of the arithmetic sequence {a,} whose initial term a and common difference d are…

A: The question is solved for arithmetic sequence

Q: Find the 10th term of the geometric sequence show below -5x, 25a", -125x°, 2...

A: Given Data: Geometric Sequence: -5x, 25x5, -125x9, ... From the given geometric sequence,…

Q: Find the first term of an arithmetic sequence if the 9th term is 72 and the common difference is 5.…

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Q: Find the 16"" term of the arithmetic sequence whose common difference is d= 8 and whose first term…

A: The first term of the arithmetic sequence is 2 and common difference is 8. To find the 16th term of…

Q: Find an and a3 for the geometric sequence. 27 16, а2, аз. 4

A: Geometric sequence:   a, ar, ar2, ar3,.................. Geometric sequence:   a1, a2, a3, a4…

Q: Find the nth term, the fifth term, and the eighth term of the geometric sequence.4, -6, 9, -13.5....

A: Given:               4, -6, 9, -13.5,..........     The given statement is the geometric sequence:…

Q: 6. Find the 15th term of the arithmetic sequence whose common difference isd = -5 and whose first…

A: Given: Common difference ,d = -5 and the first term of the arithmetic sequence  is a1= 10 To find:…

Q: 2a. Find a formula for the nth term of the arithmetic sequence below. 1,_,4, , 7, ...

A: Solve by formula

Q: Find the nth term, the fifth term, and the eighth term of the geometric sequence.2, 6, 18, 54,...

A: The geometric sequence is: 2, 6, 18, 54,..... We have to find the fifth, eighth and the nth term of…

Q: Find the indicated term for the given arithmetic sequence. The 70th term of - 1, - 8, - 15,... a70 =

A: We have to find 70th term of given sequence.

Q: Find the specified term of the arithmetic sequence that has the two given terms.a10; a2 = 1, a18 =…

A: We have to find a10 of the arithmetic sequence which has given two terms: a2=1 and a18=49. We know…

Q: Find the specified term of the arithmetic sequence that has the two given terms.a1; a6 = 2.7,…

A: To find: The first term a1 of the arithmetic sequence. Given: The sixth term a6 of the sequence is…

Q: For an arithmetic sequence, a4 = 60. If the common difference is 7, find: aj = the sum of the first…

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Q: Find the nth term, the fifth term, and the eighth term of the geometric sequence.300, -30, 3,…

A: Given geometric sequence is 300, -30, 3, -0.3, ...

Q: Find the 19th term of the arithmetic sequence whose common difference is d=3 and whose first term is…

A: We know that the nth term can be found as an=a+(n−1)d where a is the initial term and d is the…

Q: Determine the first five terms of the arithmetic sequence {an} with a1 = 4, and d = 8.

A: Given: to find first five terms of the arithmetic sequence with a1 = 4, and d = 8.

Q: Show that the given sequence is arithmetic, and find the common difference.-6, -2, 2, . . . , 4n -…

A: An arithmetic progression is a sequence of numbers that has a first term and every succeeding term…

Q: determine whether the sequence is arithmetic. If so, then find the common difference.

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Q: Find the indicated term of each arithmetic sequence

A: Given that: a7=-3, a27=37

Q: Find the 15"" term of the arithmetic sequence whose common difference is d =6 and whose first term…

A: an = a  + (n-1)d

Q: Find a, and a,, for the arithmetic sequence. ag=-9, ag =3

A: Given an arithmetic sequence in which a6=-9 and a8=3. To find a4 and an. Solution: We know that nth…

Q: Find the nth term, the fifth term, and the eighth term of the geometric sequence.1, -√3, 3, -3√3,...

A: The given sequence is 1,  -3,  3,   -33,  ⋯⋯. Common ratio is r=-31=-3 and first term is a=1.

Q: Find the 12th term in the arithmetic sequence an = 3 − 6(n − 1).

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Q: Find the common difference d and the nth term a, of the arithmetic sequence whose 7th term is 2 and…

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Q: Find the 500th term of an arithmetic sequence with a1 = 6.9 and d = 0.3.

A: Given,a1 = 6.9 and d = 0.3The formula for nth term is,an = a1 + (n – 1) d …(1)

Q: Determine

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Q: Find the 7h term of the geometric sequence:

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Q: Find the 16th term of the arithmetic sequence whose common difference is d=9 and whose first term is…

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Q: Find the 9th, 24th, and nth terms of the arithmetic sequence. a, a + 5, a + 10, ... ag = a24 = an =

A: Given arithmetic sequence is  a, a+5, a+10, ..... where  first term = acommon difference d =…

Q: Find the common difference , d, of the arithmetic sequence: 1/2, 3/4, 1, 5/4, 3/2, 7/4, 2...

A: If a1 , a2 , a3 , . . . , an , . . . be a arithmetic sequence then common difference d = a2 - a1 =…

Q: Find the nth term, the fifth term, and the tenth term of the arithmetic sequence.x - 8, x - 3, x +…

A: Known fact: The nth term of arithmetic sequence is given by an=a+n-1d where a is first term and d is…

Q: find a formula for a, for the arithmetic sequence.

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Q: Find the specified term of the arithmetic sequence that has the two given terms.a15; a3 = 7, a20 =…

A: Given for an A.P ,a3=7,a20=43 To find: a15 Solution: We know,nth term of an arithmetic sequence…

Q: Find the 59th term of the following arithmetic sequence 2,8,14,20

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Q: Find the 13th term of the arithmetic sequence whose common difference is d = 8 and whose first term…

A: Our objective is to find the 13th term of AP

Q: Find the 13th term of the arithmetic sequence whose common difference is d=7 and whose first term is…

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Q: find the arithmetic sequence. formula for an for 8,1,6,-13,-20...

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Q: Find the nth term, the fifth term, and the tenth term of the arithmetic sequence.2, 6, 10, 14,.....

A: Given: The arithmetic sequence 2, 6, 10, 14, ..., To find: nth, 5th, 10th term of the sequence.…

Q: Find the specified term of the arithmetic sequence that has the two given terms.a11; a1 = 2 + √2,…

A: a1=2+2a2=3

Q: determine whether the sequence is arithmetic. If so, then find the common difference.

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Q: Find the 15th term of the arithmetic sequence whose common difference is d = 7 and whose first term…

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Q: Find t 10 in the arithmetic sequence 11, 7, 3, .

A: Explanation and solution is given below....

Q: a) Find the fifth term of the sequence

A: Part a,Given,           The sequence is 169,3115,4621,6127,.....To find : Find the fifth term of the…

Q: find the 16th term of the arithmetic sequence whose common difference is d=9 and whose first term is…

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Q: Find a formula for a, for the arithmetic sequence. a = 102, d= - 6

A: the  formula for an is given by an=a1+n-1d where a1 is the first term and d is the common…

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.