Question

which term of A.P 5,2,-1......is-22

Answer 1

$<b>$

Topic:- Arithmetic Sequence or Progression


Tn=a+(n-1)d


-22=5+(n-1)-3

-22=5-3n+3

-22=5+3-3n


-22=8-3n

-22-8=-3n


-30=-3n


n=30/3

n=10



ANS:- N=10

Answer 2

We have,

A.P. = 5,2,-1.....

We have to find which term is - 22.

the first term ; a is 5

the common difference ; d is 2-5= -3

let nth term is - 22.

therefore, nth = - 22

a + (n-1)d = -22

5 + (n-1) ×-3 = - 22

5 -3n+3 = - 22

8 -3n = - 22

-3n = - 22- 8

-3n = - 30

n = - 30/-3

n = 10

Hence, the 10th term is - 22.

Hope, it will help you Guys.