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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=5an=a+(n1)d

=1+(n1)5=5n4

Consider option (A),

4880=5n45n=4884n=(48845)=notaninteger

Consider option (B),

7881=5n45n=7885n=(78855)=1577=integer

Consider option (C),

5890=5n45n=5894n=(58945)=notaninteger

Consider option (D),

7891=5n45n=7895n=(78955)=1579=integer

twooptionspossible.


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