Question

Prove the formula of the nth term of an AP

Answer 1

Step-by-step explanation:

The nth term of an AP is a_n=a+(n-1)da

n

=a+(n−1)d

Step-by-step explanation:

We have to derive the formula for the nth term of an A.P

The A.P series is

a, a+d, a+2d, a+3d, ..

a_1=a+(1-1)da

1

=a+(1−1)d

a_2=a+d=a+(2-1)da

2

=a+d=a+(2−1)d

a_3=a+2d=a+(3-1)da

3

=a+2d=a+(3−1)d

Continuing like this

a_n=a+(n-1)da

n

=a+(n−1)d

which is the recursive formula for the nth term for A.P series.

Answer 2

Answer:

an = a+(n-1) d this the the formula for finding nth term of an ap