Write a formula for the nth term of the geometric sequence 5,4, 16 64 ' 5 '125 ....

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: Write an explicit formula for the nth term of the arithmetic sequence where the fourth term is 28…

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

A: Given: 3+6+12+24+......... we all know that sum of n terms of geometric sequence is given by…

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

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Q: Find the 11th term of the following geometric sequence. 2,8, 32, 128, ...

A: This question can be solved using the formula of general term of geometric sequence.

Q: Write a formula for the nth term of the geometric sequence. -40,20,-10,5,.........

A: Find the ratio of the series by dividing 2nd term by first term.

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: Write the explicit form for the nth term of the following geometric sequence.  4,15,45,135…

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Q: Find the 11 term of the following geometric sequence. 3, 6, 12, 24, ...

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Q: Find the 58" term of the following arithmetic sequence. 17, 22, 27, 32, ...

A: Given sequence, 17, 22, 27, 32, ......

Q: Find the sixth term of a geometric sequence whose first term is 5 and whose common ratio is 2. * О…

A: Given  First term of sequence is 5 , common ratio is 2  To find:- Sixth term of geometric sequence

Q: find a formula for the nth term of the sequence. √5 - √4, √6 - √5, √7 - √6, √8 - √7, . . .

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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 sum of the first nine terms of the geometric sequence:2, -6, 18, -54, . . . .

A: we have to find the sum of the first nine terms of the geometric sequence: 2, -6, 18, -54, . . . .

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

A: A geometric sequence is a sequence with a fixed ratio of consecutive terms. The ratio is called the…

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

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Q: Calculate the next term in the geometric sequence that is calculated with a ratio of 19 if the…

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Q: Write a formula for the general term the nth term of the arithmetic sequence:-4, 2, 8, 14, . . . .

A: we have to write  a formula for the general term the nth term of the arithmetic sequence:-4, 2, 8,…

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 15 terms of the geometric sequence: 5, -15, 45, -135, . . . .

A: Given geometric sequence is 5,-15,45,-135,... First term of the sequence, a= 5 Common ratio of the…

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 formula for the nth term of the sequence. 10

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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 a formula for the general term an of the arithmetic sequence (starting with a1)…

A: a1=7a2=10d=a2-a1=10-7=3

Q: find a formula for the nth term of the sequence. 0, 3, 8, 15, 24,....

A: Terms: 0, 3, 8, 15, 24, .... Difference of successive terms: 3 - 0, 8 - 3, 15 - 8, 24 - 15, .....…

Q: find a formula for the nth term of the sequence. 1, 5, 9, 13, 17,...

A: 1, 5, 9, 13, 17,........ Clearly it is an arithmetic sequence with

Q: Determine the sum of the first 6 terms of the geometric sequence. 1,2, 4, .. So

A: A geometric progression is a type of sequenc in which ratio of two consecutive terms is always a…

Q: Write a formula for the general term (the nth term) of the arithmetic sequence : -2, 8, 18, 28,…

A: The given sequence is -2, 8, 18, 28,...   formula used: an=a1+n-1d an=nth terma1=1st termd=common…

Q: Find the common ratio of the geometric sequence: {2, – 10, 50, – 250, 1250, ...} -

A: Topic - sequence and series r = common ratio r = an+1/an

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 sum of the first 97 terms of the arithmetic sequence      9,3,-3,-9,-15

A: Given: The arithmetic sequence as 9,3,-3,-9,-15,... To find: The sum of first 97 terms of the given…

Q: Find the 14 term of the following geometric sequence. 4, 8, 16, 32, ... O

A: The geometric sequence is given as: 4, 8, 16, 32, …. We need to calculate the 14th term of the…

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 13th term of the geometric sequence 7, 21,63, ...

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Q: find a formula for the nth term of the sequence. 2, 6, 10, 14, 18,...

A: 2, 6, 10, 14, 18,........ It is an arithmetic sequence with

Q: Find a formula for the nth term of the sequence 1, - 4, 9, – 16, 25, ..

A: We can find the nth term of the sequence. We notice pattern of the sequence.

Q: What will be the nth term of the geometric sequence with first term a1=4, a2=8 and n = 4

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Q: Complete the explicit formula for the geometric sequence 5,10,20,40,80,... an

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Q: Find the general term of an arithmetic sequence where the fourteenth term is 35 and the eighth term…

A: The fourtheenth term is 35The eighth term is 41.To find the general term of an arithmetic sequence.

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 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: 回 ☆ Find the sum of the indicated number of terms of the arithmetic sequence. 34, 29, 24, ...; n =…

A: Given arithmetic sequence Find the sum of 21 terms

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

A: Calculation are as follows

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

A: The formula to evaluate the sum of n terms of a geometric sequence is Sn=arn-1r-1, if r≠1, where a…

Q: find the explicit formula for the general nth term of the geometric sequence…

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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: Find the seventh term of the geometric sequence from the given information. Express the term as an…

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