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Question

Which term of the A.P. 3,8,13,..... is 248?

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Solution

Ans.
given A.P is
3,8,13,.....
first term of this A.P is a1=3
second term of this A.P is a2=8
common difference of an A.P is given by
(i.e.,d=an+1an)
putting n=1 in above equation
d=a2a1=83=5
hence common difference for this A.P is d=5
the nth term of an A.P is given by.
an=a1+(n1)d
248=3+(n1)(5)
248=3+5n5
5×n=248+2
5×n=250
n=2505
n=50
hence 50th term of this A.P is 248

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