Question

Which term of the A.P.7,13,19,.....is 205?

Answer 1

$\huge\bf\mathcal\red{Solution:-}$
$<b>$
AP=7,13,19,....

an=205

a=7

d=6

an= a+(n-1)d

205=7+(n-1)6

205-7=6n-6

198+6=6n

6n=204

n=204/6

n=34

So, 34th term of the A.P. is 205.

Answer 2

7,13,19.............is 205

an=a+(n-1)d

205=7+(n-1)6

205=7+6n-6

205=1+6n

205-1=6n

204=6n

n=204÷6

n=34