Select the following series as arithmetic, geometric, or neither. 3/2 + 3/4 + 3/8 + 3/16 + 3/32

Geometric

Step-by-step explanation:

Given :

To Find: the following series as arithmetic, geometric, or neither.

Solution:

Find the common difference d .

If difference between the consecutive terms are same . So, the series is arithmetic.

Since the common difference is not same between the two consecutive terms . So, The given series is not arithmetic.

Now find the common ratio r

If the ratio between the two consecutive terms are same than the sequence is geometric.

Since the ratio between the consecutive terms are same .

So, The given sequence is G.P.

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