The nth term of an AP is (7 − 4n). Find its common difference.

Question:

The nth term of an AP is (7 − 4n). Find its common difference.

Solution:

We have:
Tn = (7 - 4n)
Common difference = T2 - T1
​T1 = 7 - 4 ⨯ 1 = 3
T2 = ​7 - 4 ⨯ 2 = -1
d = -1 - 3 = -4
Hence, the common difference is -4.

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