What is the common difference for the arithmetic sequence?


14,8,2,−4,−10,…

Verified Answer :

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Answer: The common difference is 6.

Step-by-step explanation:

Since we have given that

14,8,2,−4,−10,…

It is an arithmetic sequence.

So, Here, a = first term = 14

d = common difference

As we know the formula for "Common difference ":

\(d=a_2-a_1\\\\d=8-14\\\\d=-6\\\\Similarly,\\\\d=a_3-a_2\\\\d=2-8\\\\d=-6\)

so, the difference is common.

Hence, the common difference is 6.