For the following sequence, determine if it is an arithmetic sequence, a geometric sequence, or neither. If it is either next term in the sequence. 4, 12, 36, 108, 324,... Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. OA. The sequence is geometric. The next term is 4, 12, 36, 108, 324, OB. The sequence is arithmetic. The next term is 4, 12, 36, 108, 324, OC. The sequence is neither arithmetic nor geometric.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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For the following sequence, determine if it is an arithmetic sequence, a geometric sequence, or neither. If it is either arithmetic or geometric, give the
next term in the sequence.
4, 12, 36, 108, 324,...
Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice.
A. The sequence is geometric. The next term is 4, 12, 36, 108, 324,
B. The sequence is arithmetic. The next term is 4, 12, 36, 108, 324,
C. The sequence is neither arithmetic nor geometric.
Transcribed Image Text:For the following sequence, determine if it is an arithmetic sequence, a geometric sequence, or neither. If it is either arithmetic or geometric, give the next term in the sequence. 4, 12, 36, 108, 324,... Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. A. The sequence is geometric. The next term is 4, 12, 36, 108, 324, B. The sequence is arithmetic. The next term is 4, 12, 36, 108, 324, C. The sequence is neither arithmetic nor geometric.
Expert Solution
Step 1: The given sequence is

Solution :- 

            The given sequence is 

                        4 , 12 , 36 , 108 , 324 , . . .     

then , we have to determine whether the given sequence is arithematic or geometric.& we have to find the next term.

(a) The given sequence is geometric .

(b) The given sequence is arithemetic . 

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