Question

Is 171 a term of the AP: 2,5,8,…...?​

Answer 1

Answer:

Term271 = ?

a = 2

d= 3

$tn = a + (n - 1)d$

$t171 = 2 + (171 - 1)3$

$= 2 + 510$

$= 512$

Answer 2

Helw !

Given:-

• a = 2
• d = 3
• an = 171

To find

• whether this A.P has 171 as it's term

Solution:-

an = a+(n-1)d

=> 171 = 2+(n-1)3

=> 169 = (n-1)3

=> 169/3 = n-1

=> 169/3+1=n

=> n = 172/3

Since, n can never be in either fraction or decimal because it is a natural number.

Hence, this A.P. does not have any term of 171.