Question

Is 0 a term of the A.P. 31,28, 25,…? Justify your answer.

Answer 1

A.P. 31, 28, 25,...

Here, a = 31, d = 28 – 31 = –3

Let 0 be the n^th term, then

T_n = a + (n – 1)d

0 = 31 + (n – 1)(–3)

0 = 31 – 3n + 3

⇒ 3n = 34

n = `(34)/(3)`

= `11(1)/(3)`

Hence 0 is not any term of the A.P.