Find the n th term of the arithmetic sequence whose initial term is a, and common difference is d. What is the sixty-secor a, = - 6; d= – 9 Enter the formula for then th term of this arithmetic series. an = (Simplify your answer. Use integers or fractions for any numbers in the expression.) Now, enter the value of the sixty-second term of the sequence. a62 =L (Simplify your answer.)

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 the first five terms of the sequence with the given nth term.  an = 3n

A: Here the n th  term of a sequence is an=3n Therefore we have to substitute the values of n to get…

Q: The first term of a geometric sequence is 8 and the fourth term is 216. What is the sum of the first…

A: Given: In a Geometric series (GS), First term a1=a=8 Fourth term a4=216 To find: Sum of first 12…

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 sequence. 1, -1/4,1/9, -1/16,1/25, ...

A:

Q: Find the 28th term of an arithmetic sequence where the fourth term is 33 and the tenth term is 15.…

A: Find the common difference, d:

Q: The second term of a geometric sequence is 10, and the fifth term is 1250/27 . Find the nth term.

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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: The 7th term of an arithmetic sequence is -37, and the 10th term is -121. Find a,d and the general…

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Q: Find the sum of the infinite geometric series. (If an answer is undefined, enter UNDEFINED.) 9(0.4)"…

A:

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: 26. Write the third, fourth and-fifth terms of the sequence whose nth term is given by the following…

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Q: Write the first five terms of the sequence with the given nth term.                        an =…

A: Given nth term is an=2nn+5 To find the first five terms of the sequence with the given nth term.…

Q: Find the sum of an infinite geometric series in which aj = 34 and r = -0.05. Round to the nearest…

A:

Q: If the 8th term in an arithmetic series is 39 and the 20th term – 33. - What is the common…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: For a given geometric sequence, the 3rd term is equal to 29/81 and the 8th term is equal to -87.…

A: Concept:

Q: Find the formula of the general term an of the sequence: 10,50,250,1250 ..

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Q: Find the first four terms of the sequence given by the following. a, = 64-3 (n-1), n=1, 2, 3... olo

A: Solve the given problem.

Q: Find the sum of the first five terms of geometric sequence. a1 = 6.324, r = 2.598

A: Given, geometric sequence with a1 = 6.324, r = 2.598

Q: is equal to 240, and the 5" term, ac, is equal to 36. a73 term, For a given arithmetic sequence, the…

A: A sequence is funfction  from the set of natural numbers to the set of real numbers. A sequennce can…

Q: Find a formula for the nth term of the sequence. - 1, 6, 25, 62, 123, .

A:

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

A: It can be written as,

Q: Find a5, the fifth term of the geometric sequence whose first term is a, = 7680 and whose common…

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Q: Find the sum of an 8-term geometric sequence when the first term is 7 and the last term is 114,688…

A: Given query is to find the sum of the 8 term of geometric sequence.

Q: Find the sum of the arithmetic series. n=10,a n =41S n =230

A: Topic: arithmetic progression

Q: Write the first four terms of the sequence whose nth term, or general term, is given: an = (-1)n/2n…

A: Consider the following equation: an=-1n2n+1                    ...... 1 Substitute n=1 in the…

Q: Find the formula for the nth term of the sequence. 10

A:

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 the sum of the first 6 terms of the sequence defined by an = -7 (-4)n-1 for n 2 1 5733 O 28 O -…

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Q: Find the first three terms and the 10th term of the sequence given by an = n/(n +1 ).

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Q: Find the sum of the first 8 terms of a geometric series if the first and second terms are 1 and 12…

A: A geometric sequence is represented as , where a is the first term and r is the common ratio . The…

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

A:

Q: Find the sum of the infinite geometric series (if it has one): 11 36+24 +16+...

A: An infinite geometric series a,ar,ar^2,ar^3,........ has finite sum , if common ratio r<1 In…

Q: find a formula for the nth term of the sequence. 5/1,8/2,11/6,14/24,17/120, ...

A: The denominator is in the form n!

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: 10

A:

Q: The sum of the first five terms of the arithmetic sequence is -5 and the sixth term is -10. The sum…

A:

Q: Find the 15 term of the arithmetic sequence 1.18, 1.26, 1.34, ... the 15h term is

A: topic - arithmetic sequence

Q: Find the 22 term of the arithmetic sequence whose common difference is d=4 and whose first term is…

A:

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: The fourth term of an arithmetic sequence is 14, and the 20th term is 110. Find the common…

A: As we know that the nth term of the arithmetic sequence is: tn=a+(n-1)d Where 'a' is the first term…

Q: find the sum of the first 60 terms of the arithmetic sequence given by: -5,-2,1,4,7   Formulas:…

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Q: The twelfth term of the arithmetic sequence is 118, and the eighth term is 146. Find first term and…

A:

Q: find a formula for the nth term of the sequence. 1/25,8/125,27/625,64/3125,125/15,625, ...

A:

Q: Find the 22" term of the arithmetic sequence whose common difference is d=2 and whose first term is…

A:

Q: Identify the explicit formula for the nth term of the sequence written below.   4, -8, 64/3, -64,…

A: 4, -8, 64/3, -64, 1024/5, -2048/3

Q: Find the first five terms of the sequence, given the nth term. An = 3(4")

A: given

Q: term

A: Given the nth term  an = (-1/5)^n To find the first four terms and the 100th term of the sequence

Q: Find a formula for the nth term of the sequence. - 1, 4, - 9, 16, - 25, ... Determine the sequence's…

A: Given sequence is -1             4                 -9                16              -25 By…

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.