Determine if each sequence is a geometric sequence. If it is, find the common ratio and write the explicit and recursive formulas. 1 , 1 2 , 1 3 , 1 4 , …
Determine if each sequence is a geometric sequence. If it is, find the common ratio and write the explicit and recursive formulas. 1 , 1 2 , 1 3 , 1 4 , …
Determine if each sequence is a geometric sequence. If it is, find the common ratio and write the explicit and recursive formulas.
1
,
1
2
,
1
3
,
1
4
,
…
Expert Solution & Answer
To determine
To find : If the sequence is a geometric sequence. If it is, find the common ratio and write the explicit and recursive formulas.
Answer to Problem 26P
The given sequence is not geometric.
Explanation of Solution
Given sequence: 1,12,13,14,.....
Calculation:
A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed , non-zero number called common ratio.
Here,
a2a1=121=12;a3a2=1312=23 and a4a3=1413=34
That is,
a2a1≠a3a2≠a4a3
Since, each term is not found by multiplying the previous term by a fixed constant.
Intermediate Algebra for College Students (7th Edition)
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