1.

Find the nth term of the AP 8, 3, –2, –7, –12, ….

Answer»

To Find: nth term of the AP

Given: The series is 8, 3, –2, –7, –12, ….

a1 = 8, a2 = 3 and d = 3–8 = –5

(Where a = a1 is first term, a2 is second term, an is nth term and d is common difference of given AP)

Formula Used: an = a + (n - 1)d

an = a1 + (n - 1)(–5) = 8 – (5n – 5) = 8 – 5n + 5 = 13 – 5n

So the nth term of AP is equal to 13 – 5n



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