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Question

5th term of an AP is 26 and 10th term is 51. The 15th term is :

A
60
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B
76
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C
55
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D
72
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Solution

The correct option is A 76
Given 5th term and 10th term of an AP are 26 and 51 respectively.
a+4d=26a+9d=51
Solving the above equations, we get
25=5dd=5
Plugging in d = 5 in either of above two equations, we get
26=a+4(5)26=a+20a=6
To find the 15th term,
t15=a+(n1)dt15=6+5(151)t15=76.
The 15th term is 76.

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