Which term of the

To Find: we need to find n when a_n = 0

Given: The series is 64, 60, 56, 52, 48, … and a_n= 0

a₁=64, a₂= 60 and d=60–64 = –4

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

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

a_n= 0 = a₁ + (n–1)(–4)

0– 64 = (n–1)(–4) [subtract 64 on both sides]

– 64 = (n–1)(–4)

64 = (n–1)4 [Divide both side by ‘–‘]

16 = (n–1) [Divide both side by 4]

n = 17^th [add 1 on both sides]

The 17^th term of this AP is equal to 0.