Cannonballs can be stacked to form a pyramid with a triangular base. What is the formula for the nth-tem of this sequence? a = 1 az = 4 az = 10 a4 = 20 as = 35

Q: Find the nth term, the fifth term, and the eighth term of the geometric sequence.8, 4, 2, 1....

A: Find the nth term, the fifth term, and the eighth term of the geometric sequence.8, 4, 2, 1....…

Q: Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated…

A: The series can be written as follows in expanded form: 31+2+32+2+33+2+......+316+2…

Q: Given the first term and the common ratio of a geometric sequence find the first five terms and the…

A: We can find the answers using the properties of geometric progression as below

Q: What is the nth-term formula for the number of tiles in the nth figure of sequence?

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Q: Find the explicit formula for the geometric sequence, THEN use it to find the 15 term. 17) Explicit…

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Q: Use the formula for the sum of the first n terms of an arithmetic sequence to find:

A: Given: ∑i=150 4i-25 The sequence is ∑i=150 4i-25=-21,-17,-13, -9.........upto 50th term

Q: Find the nth term, the fifth term, and the eighth term of the geometric sequence.4, 1.2, 0.36,…

A: Given geometric sequence is 4, 1.2, 0.36, 0.108,… To find the nth term, fifth term and eight term of…

Q: Given the geometric sequence: 40 400 a1 = 4, a2 a3 9 ... 81 find a formula for the nth term: an %3D

A: Given problem:- a1 = 4 , a2 =40/9 , a3 = 400/81 .....  find nth term of given geometric series

Q: The first term a, of a geometric sequence is 20 and the common ratio r is 5, find the fifth term a,…

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Q: Lan=Z,5 .4n-1

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Q: Given the sum of the first 5 terms of a geometric sequence is 847 and the common ratio is 3,…

A: Solution-

Q: In a certain geometric sequence, the eighth term is 100 and the common ratio is -(3/2). Find the…

A: Let the first term be a so the sequence will be a, ar, ar2, ar3 ....... The eighth term is 100…

Q: Determine the common ratio r, the fifth term, and the nth term of the geometric sequence. 2, 2° + 1,…

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Q: Which explicit formula describes the sequence {1,2/7,4/29,8/343,...}?

A: gdfge

Q: Use the formula for the sum of the first n terms of a geometric sequence to solve. Find the sum of…

A: We need to find the sum of the first five terms of the geometric sequence:  4/3, 8/3, 16/3 . . .

Q: Find a formula for the nth term of the given geometric sequence. 7, 28, 112,

A: Given: 7,  28,  112,  ...

Q: Da =-4. 3"-1

A: The given geometric sequence is,

Q: 3n - 1 an = n! a1 a2 az a 4 as

A:

Q: Determine the common ratio r, the fifth term, and the nth term of the geometric sequence. 7, 21, 63,…

A:

Q: In a geometric sequence, the second term is 1 and the sixth term is 16, Find the common ratio and…

A: We have 2nd and  6th term are 1 and 16 respectively,  We have to find common ratio (r) and a15…

Q: Given the geometric sequence: 35 175 ao = 7, a1 , a2 = 9. 81 find a formula for the n-th term:

A:

Q: What would be the nth term formula for the number of tiles in the nth figure of the sequence? -How…

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Q: Draw the missing figure on the sequence below and provide solution/explanation:

A: The pattern in a sequence of images determines the nature of the next image. The shapes, angles etc.…

Q: Determine the common ratio r, the fifth term, and the nth term of the geometric sequence. 7, 14/3,…

A: To find the common ratio we divide the second term by the first term.

Q: Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated…

A: Obtain the value of the sum as follows.

Q: Given the geometric sequence, find the 8th term: 4, –8, 16, –32, ...

A: The objective is to find the 8th term of the geometric sequence.

Q: Is the sequence geometric? If so, identify the common ratio. 2, -4, -16, -36, ....

A: We know that Geometric sequence has common ratio The formula for nth term  is  an=arn-1 Where a is…

Q: Given the explicit formula for an arithmetic sequence find the common difference, the first five…

A: Topic- sequence and series

Q: Given the geometric sequence: 40 320 a1 = 5, a2 , a3 = ... 81 ' find a formula for the nth term: An…

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Q: The sixth term of a geometric sequence is 1215 and the third term is 45. Find the first term and the…

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Q: Which explicit formula describes the sequence -9,-3, 3, 9, 15, ...? A an 6n + 15 C C an = 6n – 15…

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Q: Cannonballs can be stacked to form a pyramid with a triangular base. What is the formula for the…

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Q: a = 5, a,+1=-3a,

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Q: Given the geometric sequence: 100 ao 12, ај — 20, а2 3 find a formula for the n-th term: An

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Q: Given the geometric sequence: 40 4, aj = 11 400 ao a2 = 121 find a formula for the n-th term:

A: The given geometric series is,a0=4,a1=4011,a2=400121,.....

Q: Write an explicit formula for am, the nth term of the sequence 35, 38, 41, ...

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Q: In an arithmetic sequence the ratio of the third to the eight term is 6:1 and the sum of the third…

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Q: Using the appropriate formula, find the 17th term of the sequence 7,4,1,...

A: The real sequence is a mapping from the set of natural numbers to the set of real numbers. A…

Q: In geometric sequence a1, a2, •• • , An , a3 = 1792 and ag = 114688, then the common ratio is 7 9.…

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Q: What is the nth-term formula for the number of tiles in the nth figure of the sequence? a4 az a2 a1

A: Given, Number of tiles in a1 = 4 Number of tiles in a2=8 Number of tiles in a3=14 Number of tiles in…

Q: n-1 a =2 .

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Q: Given the sum of the first 6 terms of a geometric sequence is 27,342 and the common ratio is 5,…

A: Sum of first 6 terms of a geometric sequence is 27342 and common ratio is 5 we have to determine the…

Q: Given the figure below, answer the following questions: as a. Determine the nth term formula for the…

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Q: Refer to the image to identify the following: -What is the nth-term formula for the number of tiles…

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Q: Write an explicit formula for each sequence. Find the 12th term. , =a, +(n-1)d 2. 7, 14, 21, 28, 35,…

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Q: Is the sequence geometric? If so, identify the common ratio. 3, 12, 48, 192, .. A. yes; -4 B. yes; 4…

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Q: Using the appropriate formula, find the 17th term of the sequence 7,4, 1,.....

A: # we are entitled to solve one question at a time ,please resubmit the other questions if you wish…

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.