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Question

If 9th term of an A.P. is 47 and 16th term is 82, then the general term is

A
9n+2
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B
6n7
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C
5n+2
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D
none
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Solution

The correct option is D 5n+2
a9=a+8d=47........(1)
a16=a+15d=82.....(2)
Subtract eq (1) by (2)
7d=35
d=5
a+8d=47
a+8×5=47
a=7
Hence general term is an=a+(n1)d=5n+2

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