Concept explainers
To find:Whether the sequence
Answer to Problem 11E
The sequence
Explanation of Solution
Given information:The sequence
Calculation:A sequence is said to be arithmetic sequence if every term of the sequence, after the first term, is obtained by adding a constant to the preceding term. The constant is known as common difference.
A sequence is said to be geometric sequence if every term of the sequence, after the first term, is obtained by multiplying a constant to the preceding term. The constant is known as common ratio.
Here, the 1st term
Difference between 1st and 2nd term
Difference between 2nd and 3rd term
Difference between 3rd and 4th term
Since, each term of the sequence is not obtained by adding a constant to the preceding term, the sequence is not arithmetic.
Again, the 1st term
Dividing 2nd term by 1st term
Dividing 3rd term by 2nd term
Dividing 4th term by 3rd term
Since, each term of the sequence is not obtained by multiplying a constant to the preceding term, the sequence is not geometric.
Chapter 6 Solutions
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