Answered

Determine whether the given sequence could be geometric, arithmetic, or neither. If possible, identify either the common ratio or the common difference. 7, 9, 10, 12, ....

Answer :

MRROYALGO

The sequence is neither geometric nor arithmetic

How to determine the sequence type?

The sequence is given as:

7, 9, 10, 12, ....

Calculate the common difference to determine if the sequence is arithmetic;

d = 12- 10 = 10 - 9 = 9 - 7

Evaluate

d = 2 = 1 = 2

The above is false because 2 and 1 are not equal.

So, the sequence is not arithmetic

Calculate the common ratio to determine if the sequence is geometric;

r = 12/10 = 10 /9 = 9/7

Evaluate

r = 1.2 = 1.11 = 1.29

The above is false because the numbers are not equal.

So, the sequence is not geometric.

Hence, the sequence is neither geometric nor arithmetic

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