1.

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

Answer»

Nth term = an = 3n + 5 (given)

a(n-1) = 3 (n – 1) + 5 = 3n + 2

Common difference = d = an – a(n-1)

= (3n + 5) – (3n + 2)

= 3n + 5 – 3n – 2

= 3

Therefore, common difference is 3.



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