Question

Which term of AP 5,15,25.......will be 130 more than it's 31 term

Answer 1

We know that
an=a+(n-1)d...(1)
Here,n=31
a=5
d=15-5=10
Put these values in (1)
an=5+(31-1)10
an=5+300=305
A.T.Q
305+130=435
Now,an=435
a and d remain same i.e 5 and 10 respectively
n=?
an=a+(n-1)d
435=5+(n-1)10
435-5=(n-1)10
430=(n-1)10
43=n-1
44=n
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