Which term of the A.P. 84, 80, 76,… is 0 ?

Given A.P is 84, 80, 76,…


Here, a1 = a = 84, a2 = 88


Common difference, d = a2 – a1 = 80 – 84 = -4


We know, an = a + (n – 1)d where a is first term or a1 and d is common difference


an = 84 + (n – 1)-4


an = 84 – 4n + 4


an = 88 – 4n


Now, to find which term of A.P is 0


Put an = 0


88 – 4n = 0


-4n = -88



n = 22


Hence, 22th term of given A.P is 0


3