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Question

If the 7th and 13th terms of an AP are 34 and 64, then its 18th term is ___.

A
87
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B
88
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C
89
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D
90
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Solution

The correct option is C 89
The nth term of an AP of first term a and common difference d is
an=a+(n1)d.a7=a+6d=34(1) a13=a+12d=64(2)(2) (1)6d=30 d=5Substituting d = 5 in (1), we get a=4.a18=a+17d=4+(17)5=89

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