Q. 12

# The nth term of an AP is (3n + 5). Find its common difference.

nth term of an AP = an = 3n + 5

Common difference (= d) of an AP is the difference between a term and its preceding term.

d = an - an - 1

= (3n + 5) - (3(n - 1) + 5)

= 3n + 5 - 3n + 3 - 5

= 3

Common difference = 3

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