Question

which term of the AP 1+4+7+10+........ .is 52

Answer 1

hey mate

a=1 d=4-1=3

a+(n-1)d=52

1+(n-1)3=52

1+3n-3=52

3n-2=52

3n=52+2



3n=54

n=54/3

n=18

Answer 2

Here's the answer !!

We know that in an AP we can calculate the first term, common difference, number of terms and the Nth term by using the formula :

Aₓ = a + ( x - 1 ) d

Here x represents the number of terms.

So we know that,

Aₓ = 52, d = 3, a = 1

We need to find x = ?

So substituting in the formula we get,

52 = 1 + ( x - 1 ) 3

=> 52 - 1 = 3 ( x - 1 )

=> 51 = 3 ( x - 1 )

=> ( x - 1 ) = 51 / 3

=> x - 1 = 17

=> x = 17 + 1 = 18 th term.

Hence 52 is the 18th term of the given AP.

Hope my answer helps !!