Question

write the 100th term of the A. P. 2,22,.....​

Answer 1

Answer:

Step-by-step explanation:

a=2 and d=a2-a1 =22-2 =20 and n=100

an=a+(n-1)d

a 100 = 2+(100-1)20

=2+99×20

2+1980

1982

Thus the hundredth term of the AP is 1982

Answer 2

The 100th term of the given A.P is 1982.

Step-by-step explanation:

We know that the n the term of an A.P. is given by :-

$a_n=a+(n-1)d$   (1)

, where a = first term

d = common difference

The given A.P.=2,22,.....​

First term : a= 2

Common difference : d= 22-2=20

Put n = 100 ,  a= 2 and d= 20 in (1) , we get

$a_{100}=2+(100-1)20=2+(99)(20)=2+1980=1982$

Hence, the 100th term of the given A.P is 1982.

# Learn more :

(p+q)th and (p-q)th term of an AP are respectively m and n. the p th term is​

https://brainly.in/question/11336870