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What is the common difference for the arithmetic sequence?

14,8,2,−4,−10,…

User Btomw
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What is the common difference for the arithmetic sequence? 14,8,2,−4,−10,…-example-1
User Jerell
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Answer: The common difference is 6.

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.

User Buurman
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