The first term of a geometric sequence is 8 and the fourth term is 216. What is the sum of the first 12 terms of the corresponding series? (1) 236,192 (3) 2,125,760 (2) 708,584 (4) 6,377,288

Q: Find 65th term of the arithmetic sequence with first term 5 and common difference -1/2

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Q: Find the sixth term of a geometric sequence whose second term is 3 and whose fourth term is 1/3.…

A: Now dividing equation (2) by equation (1), we get Therefore sixth term is,

Q: Find the 100th term of the arithmetic sequence with first term 1 and ninth term 17.

A: It is given that the first term of the arithmetic sequence is 1 and the ninth term is 17.

Q: A geometric sequence whose first term = 2 and whose sixth term = 64, i) find the first six terms ii)…

A: The nth term of a geometric progression or a geometric sequence with first term and common ratio r…

Q: Determine the first six terms of the sequence defined by t₁ = -5 and t = -3t-1 + 8. -5, 23, -61,…

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Q: Find the 73rd term of the arithmetic sequence with first term 1 and common difference − 1 2 .

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Q: Clarify the differences between a sequence and a series?

A: Sequence is an array of numbers arranged according to a certain rule. For example,

Q: Find OF the Formula For the nth term Sequence: 0, 1,3, 6, 10,15,21,28,36, 45,55, 66,78,91,105,...

A: now in this question, we have to find the nth term of the sequence using given data.

Q: Find the indicated term of the geometric sequence. 9th term of 0.6, 0.06, 0.006,.. Enter the 9th…

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Q: Find the sum of the first 845 terms of the sequence shown: 22, 18, 28, 37, 34, 56, 40, 75, ... sum =

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Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A: Given : -1,-5,-9,-13,-17

Q: - 12,800, 6,400, - 3,200, 1,600, ..... Select one:

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Q: The first term of a geometric sequence is 8, the second term is 24, & the 3rd term is 72.  What is…

A: The sum of first  n  terms of a geometric series can be calculated using the formula, Sn=a1-rn1-r.…

Q: Find the sum of the first 14 terms of the arithmetic sequence. 5, 10, 15, 20, 25, ...

A: Given:

Q: The first term of an arithmetic sequence is -1 and the fifteenth term is 27. Find the sum of the…

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Q: Find the sum of the first 34 terms of the arithmetic sequence with first term 3 and 34th term 69.

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Q: Identify the 7th term of the sequence: 4, 20, 100, .... * O 65,200 315,200 O 62,500 O 312,500

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Q: The first term of a geometric sequence is 8, the second term is 24, & the 3rd term is 72. What is…

A: We have to find the sum of the first 12 terms of the geometric sequence where first term is 8,…

Q: 3 What is the sum of the geometric series

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Q: What are the next three terms of the geometric sequence 4, 24, 144, ... ? O 864, 3,456, 13,824 864,…

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Q: Find the sum, exists of the infinite geometric series that is related to the infinite geometric…

A: To find the sum

Q: Find the sum, if it exists, of the infinite geometric series that is related to the infinite…

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Q: Find the 100th term of the arithmetic sequence with first term 7 and eighth term 35

A: tn=a + (n-1)d---- Formula a = first term  d = Common difference tn =nth term

Q: Find the sum of the first 20 terms of the arithmetic series: 6 + 3 + 0 - 3 - 6 - . . .

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Q: What is the first term of a geometric sequence which fourth term is -40 and with common ratio of -2?

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Q: Find the specified term of the geometric sequence. 7th term: 5, 30, 180, ... a,

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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: Find the sum of the first 40 terms of the arithmetic sequence with first term 3 and 40th term 120

A: According to question given thatwe have to calculate the first 40 terms sum of the arithmetic…

Q: Find the sum of the first 12 terms of the geometric sequence shown below. 4​,12,,36,108,...   the…

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Q: The 13th term of a sequence is 8, and the 17th term is 8. What is th

A: Given, the 13th term of a sequence is 8 and 17th term of sequence is 8.

Q: the 4th term of an arithmetic sequence is 7 and its 7th term is 16, find its 10th term

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Q: Find the sum of the first 14 terms of the geometric sequence shown below. 2, 6, 18, 54,... ***** The…

A: Given, Geometric sequence 2, 6, 18, 54 .... The objective is to find the sum of the first 14 terms.…

Q: 6. Find the indicated nth term of the geometric sequence. 22th term : 8, 32, 128, ...

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Q: Find the sum of the first 14 terms of the geometric sequence shown below. 2, 6, 18, 54, .. The sum…

A: Given that :  2 , 6,18,54,..... By using geometric sequence...  r = difference ratio.  a = first…

Q: Find the sum of the first 11 terms of the geometric sequence 4, -4, 4, .. 4

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Q: The SECOND and THIRD term in a geometric sequence is 16 and 5th term is 54. Find the sum of the…

A: Topic:- sequence and series

Q: Find the 100th term of the arithmetic sequence with first term 7 and ninth term 31.

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Q: Find the 100th arithmetic sequence with 1st term 5 and eighth term 19

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Q: Find the sum of the first 14 terms of the geometric sequence shown below. 3 , 3, – 12, 48, .. The…

A: The geometric sequence is given by -34, 3, -12, 48,.... To evaluate : The sum of first 14 terms.

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

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Q: Find the sum of the infinite geometric series if it exists.

A: To find: The sum of given infinite geometric series. Given information: The series is 1-12+14-18+⋯…

Q: 2 nd term of an arithmetic sequence is 16 and its 8 th term is -8. Calculate the following. Show all…

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Q: A town has a population of 5000 persons, but is expected to grow by 2% every year. (i) What would…

A: Solution: From the given information, the town has a population of 5000 persons. But it is expected…

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 sum of the first 60 terms of the arithmetic sequence with third term 10 and eighth term 25

A: Let, first term is a, And the common difference is d. Sum of first 60 term =(60/2)(2a+59d)…

Q: Find the indicated nth partial sum of the arithmetic sequence. 6.3, 6.1, 5.9, 5.7,. . .,   n = 13

A: Given arithmetic sequence is  6.3, 6.1, 5.9, 5.7,...... we are given with arithmetic sequence, so…

Q: Find the nth term of a sequence whose first several terms are given. 2/3, 3/4 , 4/5, 5/6

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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.