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Question

In an AP, the 4th term is 36. The 21st term is 108 more than the 9th term. Find the common difference

A
12
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B
9
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C
4
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D
3
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Solution

The correct option is B 9
Arithmetic Progression
Given T4=36
T21=108+T9
d=?
General term of an A.P
Tn=a+(n1)d
T21=108+T9
a+(211)d=108+a+(91)d
20d=108+8d
12d=108
d=9

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