Here are the first two terms of a geometric sequence: 2, 4. What are the next three terms?

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: 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 the nth term of the geometric sequence whose initial term is a1=6.5 and common ratio is 8

A: The geometric sequence whose initial term is a1=6.5 and common ratio is 8

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

A:

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: Find the infinite sum of the geometric sequence with a = 6, r 2 if it exists.

A: Here,  a=6, r=2/6

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 10th term of the geometric sequence 10,-50, 250,…

A: First find the common ratio r of the geometric sequence than with the help of nth term express find…

Q: Find the infinite sum of the geometric sequence with a1 = 3, r = if it exists. 8

A:

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

A:

Q: Determine the sum of the geometric sequence if it exist. If the sum does not exist, write DNE. 8,…

A: Given,            A sequence is 8,-12,18,27,.....We know that,           A sequence is in Geometric…

Q: If the fourth term of an arithmetic sequence is 13 and the second term is 3, find the 24th term.

A:

Q: Find the tenth term and the sum of the first ten terms of the arithmetic sequence whose first two…

A: Let the first term is a1=4+3 and the second term is a2=3. The common difference is,…

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: What are the next three terms of the geometric sequence 3, 12, 48, . . . ?

A:

Q: Find for the 10th term of a geometric sequence whose first term is -3 and whose common ratio is -2.…

A:

Q: Write the first five terms of the geometric sequence with the given first term, a,, and common…

A: Refer to image below.

Q: Find the sum of the first 7 terms of the geometric sequence: 8, 4, 2, 1, . . . .

A: To Find The sum of the first 7 terms of the geometric sequence: 8,4,2,1,…. Concept: Sum of first…

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 the seventh term of the geometric sequence whose second and third terms are 2 and -√2.

A:

Q: Find the specified term of the geometric sequence. 6th term: 5, 15, 45, . . .

A: sequence is 5,15,45,......... first term, a1 = 5 r = a2/a1    = 15/5     = 3

Q: What is the 7th term of the geometric sequence defined by the rulean = -3(2)^n-1 ?

A: What is the 7th term of the geometric sequence

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

A:

Q: Find the sum of the first 4 terms of a geometric sequence with a = 270 and r= The sum is 2/3

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

A:

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

A: Given geometric sequence is,

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 first five terms of the geometric sequence.

A:

Q: Find the 8th term of the geometric sequence 2, –10, 50, ...

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

Q: Determine the sum of the geometric sequence if it exist. If the sum does not exist, write DNE. 6, 2,…

A: Explanation of the answer is as follows

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 8th term of a geometric sequence where the second term is 6 and the common ratio is 2. *

A:

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 missing term of the geometric sequence. 1 ,16 4,

A:

Q: Find the sum of the first ten terms of the arithmetic sequence in which the first 3 and the…

A:

Q: Find the first 3 terms of the geometric sequence with a, = -160 and a, = 1,280. а. 5,-10, 20 с. 5,…

A: Given data: a6=-160 a9=1280 Solution: The above terms given in the geometric sequence. We know the…

Q: Find the sum of the first 12 terms of the geometric sequence: 2, 6, 18, 54, . . .

A: Consider the following geometric sequence: 2, 6, 18, 54,... First term of the sequence: a=2 Common…

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: The geometric mean between the first two terms in a geometric sequence is 32. If the third term is…

A: Topic - geometric progression

Q: Find the 7 term of the geometric sequence whose common ratio is and whose first term is 4. 00

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

Q: Find the 10 term of the geometric sequence whose common ratio is and whose first term is 6. 1/2

A:

Q: Find the nth term of the geometric sequence whose initial term is a1 = 8 and common ratio is 4. An…

A: The initial term is given as a1=8 and common ratio is 4. To find : the nth term of the geometric…

Q: Find the 6th term of a geometric sequence with a 1 = −3 and r= 2.

A: Find the 6th term of a geometric sequence with:

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

A: Calculation are as follows

Q: What are the first five terms of a geometric sequence with a = 3 and r = 2?

A:

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 10th term of the geometric sequence whose common ratio is and whose first term is 6 2

A:

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

A:

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.