Question

102,119, 136,........., 986 are in Arithmetic Progression. Find the total
number of terms n​

Answer 1

Answer:

53

Step-by-step explanation:

a = 102

$a_{n}$= 986 (last term)

Common difference = d = $a_{2}-a_{1}$ = 119-102 = 17

We know that,

$a_{n}$ = a+(n-1)*d           where 'n' is the number of terms in A.P

⇒ 986 = 102 + (n-1)*17

⇒ 986-102 = 17*(n-1)

⇒ 884 = 17*(n-1)

⇒ 17*(n-1) = 884

⇒ n-1 = 884/17 = 52

⇒ n-1 = 52

⇒ n = 52+1 = 53

∴ n = 53