Find the infinite sum of the geometric sequence with a = 2, r = 3 if it exists. -

Q: The 12th term of an arithmetic sequence is 59, and the fifth term is 31, Find the 20th term. 820 =

A: Topic = Sequence

Q: Find the 12th term of the geometric sequence 1, –4, 16, ...

A: Given  Geometric sequence   1,-4,16..... To do find the 12th term of the given sequence.

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: 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: 4 Find the infinite sum of the geometric sequence with a = 6, r = - if it exists. %3|

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 sum of the finite geometric sequence. E(-3)" - (-3)" – 1 n-1

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Q: た 2 白 Find the sum of the indicated number of terms of the geometric sequence. -4, 12, -36, ...; n =…

A: Consider the given series.

Q: Find the infinite sum of the geometric sequence with a = 4, r = Soo = > Next Question if it exists.

A: Topic-geometric Progression

Q: Determine the sum of the first four terms of the geometric sequence where a = 3 and r = 2.

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Q: Find the sum of the first 14 terms of the geometric sequence: - 3/2, 3, -6, 12, . . . .

A: The given geometric sequence is -32,3,-6,12,.. here the first term of the sequence is -32. find…

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 tenth term of the geometric sequence withfirst term 48 and common ratio - 1/2.

A: The give sequence is geometric sequence. first term is 48 and common ratio is -12. General term of…

Q: find a formula for the nth term of the sequence. -1, 1, -1, 1, -1,c

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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: Find the 12th term of the geometric sequence 5, 20, 80, ...

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Q: Find the explicit formula for the Arithmetic sequence. -5, 2,9, 16, ...

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Q: find a formula for the nth term of the sequence. -3, -2, -1, 0, 1,...

A: Arithmetic progression: If in a sequence, the difference of any two successive terms is a constant…

Q: Find the common ratio of the infinite geometric sequence whose sum is -11/13 and the first terms…

A: The detailed solution is given below Thank you

Q: Find the nth term of the arithmetic sequence with the first term −2, common difference 3, and n =…

A: Given: The first term =-2 Common difference =3 n=10 To determine: nth term of the sequence.

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

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

A: The answer is found in step-2

Q: find the 14th term of the following geometric sequence 5, 10, 20, 40, ...

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Q: Find the sum of the first 11 terms of the geometric sequence: 3, -6, 12, -24, . .

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Q: Find the sum of the first 3 terms in the geometric sequence with this first term and common ratio: a…

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Q: Find the infinite sum of the geometric sequence with a=4,r=28a=4,r=28 if it exists. S∞=

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

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Q: Find the 10" term of the following geometric sequence. 4, 20, 100, 500,

A: A sequence is a function with domain being the set of natural numbers and the range being the set of…

Q: Find the sum of the first 23 terms of the arithmetic sequence 4m – 3, –10, .

A: For the terms to be in an AP , the first term should be 4 and not 4m which is a mistake.

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 first five terms of the geometric sequence.

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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: Find the 24th term of the arithmetic sequence if the first term is 3 and common ratio is 2.

A: First term =  a1 = 3  Common ratio = r = 2  We have to find a24 .

Q: Find the 13th term of the geometric sequence 6, – 30, 150, ...

A: The first term is, a1 = 6  &, The common ratio is, r = - 5

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 of the geometric sequence whose initial term is a1=1a1=1 and common ratio is 77.

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Q: Find the nth term of the geometric sequence. -4, 20, -100,... an

A: This is geometric series . Here is given solution with steps.

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 9th term of the following geometric sequence. 1, 5, 25, 125, ...

A: The nth term of a geometric sequence is an=arn-1 where r is the common ratio and a is the first…

Q: Find the common ratio of the geometric sequence 40, 30, 22-

A: Given series is, 40,30,2212,...

Q: Find the 10th term of the geometric sequence in which a 1 =1 and r = 2.5

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Q: Write an explicit formula for the geometric sequence  4.  – 4/3, 4/9, -4/27, …

A: Calculation are as follows

Q: Write the first four terms of the geometric sequence satisfying the following conditions: a, = 2,…

A: In general, The geometric sequence is, a, ar, ar2, ar3,.....    where, a= first term, r=common ratio…

Q: Determine the sum of the first four terms of the geometric sequence where a = 3 and r= -1. The sum…

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Q: 3. -5, 15, -45,... n = 7

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Q: The sum of the first 33 terms of the geometric sequence 1, 2, 4

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