Question

If tn=2n+1,then find the A. P.

Answer 1

Tn=2n+1
put n=1
T1=3
put n=2
T2=5
put n=3
T3=7

AP is 3,5,7,9....
Follow me for quick answer

Answer 2

Given:

tn=2n+1.

To find:

The A.P.

Solution:

The A.P. is 3, 5, 7...

To answer this question, we will follow the following steps:

As we know that in an A.P., the difference between two consecutive terms is equal.

Now,

As given,

The nth term of an A.P. is found by:

tn=2n+1

So,

On putting n = 1, we get

$t1 = 2(1) + 1$

$= 2 + 1$

$= 3$

which is the first term of the A.P.

Similarly, the second term is given by

putting n = 2,

So,

$t2 = 2(2) + 1$

$= 4 + 1$

$= 5$

Now, the third term of A.P. is

$t3 = 2(3) + 1$

$= 6 + 1$

$= 7$

So,

the A.P. is 3, 5, 7...