Question

write the 100th term of A.P.2,2,2....​

Answer 1

Answer:

2,2,2,.. is an A.P.

a = 2 , d = t2-t1 = 2-2 = 0

n= 100 , tn = ?

tn = a+(n-1)d

t100 = 2+(100-1)0

= 2+99×0

= 2+0

t100 = 2

the 100th term of the A.P. is 2

Answer 2

Given:

AP: 2,2,2....​

To Find:

Write the 100th term

Solution:

We know that,

2,2,2,.. is an A.P.

Here, we have

a = 2

d = t2 - t1 = 2-2 = 0

n= 100

Also,

tn = a + (n-1)d

In order to find $t_{100}$ , we will find the following

$t_{100}$ = 2+(100-1)0

      = 2+99×0

      = 2+0

      = 2

Hence, the 100th term of the A.P. is 2.