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Question

# The first term of an AP is unity and common difference is 5. Which of the following will be a term of this AP.

A
4880
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B
7881
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C
5890
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D
7891
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Solution

## The correct options are B 7881 D 7891 a=1,d=5∴an=a+(n−1)d =1+(n−1)5=5n−4Consider option (A), 4880=5n−45n=4884n=(48845)=notanintegerConsider option (B), 7881=5n−45n=7885n=(78855)=1577=integerConsider option (C), 5890=5n−45n=5894n=(58945)=notanintegerConsider option (D), 7891=5n−45n=7895n=(78955)=1579=integer ∗twooptionspossible.

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