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Question
The first term of an A.P is 5 and its 100th term is ā292, then 50th term is
The first term of an A.P is 5 and its 100th term is ā292, then 50th term is
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Solution
The correct option is D −142
Given, a=5,a100=−292
5+99d=−292
99d=−297
d=−3
a50=a+49d
a50=5+49×(−3)=−142
Hence 50th term is −142
Given, a=5,a100=−292
5+99d=−292
99d=−297
d=−3
a50=a+49d
a50=5+49×(−3)=−142
Hence 50th term is −142
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