The sum of the first eight terms of an arithmetic sequence {an} is 24; thesixth term is 0. Find a formula for an .

Q: Find S,, the sum of first 15 terms of the arithmetic sequence: , 0, – - 1, .... ...

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Q: Write the first five terms of the geometric sequence whose first term is 5, and whose common ratio…

A: Given, the first term is 5 and common ratio is 3.

Q: The first term of an arithmetic sequence is equal to 6 and the common difference is equal to 3. Find…

A: The first term of the arithmetic sequence, a1 =6 he common difference,d= 3

Q: Find the sum of the terms of the following infinite geometric sequence. 4/5, -1/5, 1/20, ... What…

A: Sum of infinite geometric series is S=a/1-r. see 2nd step.

Q: Write the first four terms of the sequence whose nth term is an = 2n/(n - 1)!

A: Given the expression for the nth  term of the sequencean = 2n(n-1)!

Q: Find a formula for the nth term of the geometric sequence. 16, 8, 4, ...

A:

Q: Find the sum of the first 14 terms of the geometric sequence: -1/24, 1/12, -1/6, 1/3 , . . . .

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Q: Find the infinite sum of the geometric sequence with a = 6, r 2 if it exists.

A: Here,  a=6, r=2/6

Q: Find the sum of the first 40 terms of the arithmetic sequence whose first term is −15 and whose…

A: Given,         The sum of the first 40 terms of the arithmetic sequence whose first term is −15 and…

Q: Find the infinite sum of the geometric sequence with a1 = 3, r = if it exists. 8

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Q: If the fourth term of an arithmetic sequence is 13 and the second term is 3, find the 24th term.

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Q: Find the seventh term of the geometric sequence whose second and third terms are 2 and -√2.

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Q: Find the sum of the first 8 terms of the sequence defined by a, = 4- 3"-1

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Q: Find the 13th term of the geometric sequence whose 1st term is 100, with common ratio of 10

A: Given : 1st term is 100. Common ratio is 10

Q: Find the sixth term of the geometric sequence whose first two terms are 4 and 6.

A: There are many names if the set of numbers follows a specific pattern to write the terms. They are…

Q: Find the sum of the finite geometric sequence whose first term is 1.2, whose ratio is 0.5, and which…

A: Topic:- sum of GP

Q: find the sum of the first 16 terms of the geometric sequence 1/9, 1/3/ 1.....

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Q: If the 3rd term of an arithmetic sequence is 13 and the 9th term is 37, what is the common…

A: nth term of arithmetic sequence is goven by,         an = a1 + (n - 1)d      where a1 is first term…

Q: Find the sum of the first five terms of geometric sequence. a1 = -5, r = 4

A: We know that, sum of n terms of an geometric series with first term a and common ration r is given…

Q: Use the formula for the sum of the first n terms of a geometric sequence to:

A: The given geometric series is: -32, 3, -6, 12,....  The first term of this series is a=-32 and the…

Q: Find the infinite sum of the geometric sequence with 2 if it exists. 8 6, г a = -

A: The geometric sequence with a=6, r=28

Q: Find the eighth term of the geometric sequence whose second and fourth terms are 0.2 and 5.

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Q: Given an arithmetic sequence whose sixth term is 28 and eleventh term is 43, find the sum of the…

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Q: Find the sum of the first 45 terms of an arithmetic sequence whose general term is given by 15 + 5n

A: Given that the general term arithmetic sequence is 15 + 5n.  And we have to find out the sum of…

Q: Write the first four terms of the sequence whose general term is given. an = 4n + 4

A: Here, for given sequence we have to find first four terms.

Q: Find the sum of the first 68 terms of the arithmetic sequence.

A: The given question is taken from the sequence and series and we have to find the value of  some of…

Q: find the sum of the finite geometric sequence.

A: To Determine: Find the sum of finite geometric sequence.

Q: Find the sum of the first 35 terms of the arithmetic sequence −1, −9, −17, −25, ….

A: Given the arithmetic series-1,-9,-17,-25..

Q: Find the sum of the first 8 terms of the geometric sequence if the first term is 5 and the common…

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Q: Write the first five terms of the geometric sequence whose first term is 2, and whose common ratio…

A: Given problem:- Write the first five terms of the geometric sequence whose first term is 2, and…

Q: Find the 8th term of the geometric sequence whose common ratio is 1/3 and whose first term is 4.

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Q: Find the 37th term of an arithmetic sequence whose second and third terms are −2 and 10.

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Q: The tenth term of an arithmetic sequence is 23, and the second term is. Find the first term. X

A: Let's find first term of arithmetic sequence.  Tenth term = 73/2 Second term = 9/2

Q: Write the first four terms of sequence whose nth term is given by the formula an = n - 4 over n…

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

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Q: Find for the 10th term of a geometric sequence whose first term is -3 and whose common ratio is -2.

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Q: Write the first five terms of the geometric sequence whose first term is 6, and whose common ratio…

A: For the given geometric sequence, we have the first term is 6 and the common ratio is 3 We have to…

Q: find the nth term an of a sequence whose first four terms are given.  -1,4,-9,16...................

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Q: If the 4th term and the 14th term of an arithmetic sequence are 13 and 73 respectively, the sum of…

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Q: If the third and fourth terms of an arithmetic sequence are 12 and 16, what are the first and second…

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Q: Find the sum of the first 10 terms of an arithmetic sequence formed by odd integers starting from…

A: The objective is to find the sum of first 10 terms of an arithmetic sequence formed by odd integers…

Q: If the third and fourth terms of an arithmetic sequence are −6 and −9, what are the first and second…

A: Given,

Q: Find the sum of the first ten terms of the arithmetic sequence in which the first 3 and the…

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Q: Find the sum of the indicated number of terms of the geometric sequence. 5, 10, 20, ...; n = 8

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Q: Find the sum of the first 38 terms of the arithmetic sequence with the first term 4 and the 38th…

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Q: Find the 10 term of the geometric sequence whose common ratio is and whose first term is 6. 1/2

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

A: the nth term of the arithmetic sequence is given by an=a1+n-1d here we have a1=4,   d=3 an=4+n-13…

Q: Graph the first five terms of the arithmetic sequence that has an a1 value of 1 and a common…

A: The general form of sequence,  a1, a1+d, a1+2d,.... where, a1-first term, d-common difference. we…

Q: Find the sum of the first 109 terms of the arithmetic sequence: 3, 7, 11, 15, 19, ..

A: Given : 3, 7, 11, 15, 19…