Question

Find whether 210 is a term of the AP:2, 6, 10.....?
Q3from photo
PLS answer detaily

Answer 1

Hey mate thank for the question
Hope it helps
a=2
d=a2-a1=6-2=4
an=210
an=a+(n-1)*d
210=2+(n-1)*4
210-2=(n-1)*4
208=(n-1)*4
208/4=n-1
52=n-1
52+1=n
53=n
it is a term of ap

Answer 2

given:
a=2, d=4, an=210.

solution:
210=2+(n-1)4
208/4=n-1
52+1=n
n= 53.

therefore 210 is 53rd term of the given ap.