Question

Find the 13th term of the A.P. 2, 7, 12, ……………..

Answer 1

In the given A.P. 2, 7, 12, ………………. 

The first term (a) = 2 

Common difference (d) = a₂ – a₁ 

= 7 – 2 = 5

The required term (n) = 13 

Formula for nth term in an A.P. is a_n = a + (n – 1) d , 

Then a₁₃ = 2 + (13 -1)5 = 2 + 12 (5) 

= 2 + 60 = 62 

So 13^th term = 62