Question

Find 37th and 101 th term of the following A.P 2,5,8,11, .....

Answer 1

value of 37th is 110

Answer 2

Answer:

the 37th {a(37)} term of this A.P is 110.

the 101th {a(101)} term of this A.P is 302.

Step-by-step explanation:

A.P = 2,5,8,11, ...

Common difference (d) = 3

First term (a) = 2

a(37) = ?

a(101) = ?

So first, we will start by the formula:

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

a(37) = 2+(37-1)3

a(37) = 2+(36)3

a(37) = 2+108

a(37) = 110

Therefore, the 37th {a(37)} term of this A.P is 110.

Now, again by this formula:

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

a(101) = 2+(101-1)3

a(101) = 2+(100)3

a(101) = 2+300

a(101) = 302

Therefore, the 101th {a(101)} term of this A.P is 302.

I hope it will helps you friend