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Question
Choose the correct choice in the following and justify:
(i) 30th term of the A. P: 10, 7, 4, ….., is
A) 97
B) 77
C) -77
D) 87
(i) 30th term of the A. P: 10, 7, 4, ….., is
A) 97
B) 77
C) -77
D) 87
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Solution
(i) Given that
A.P. 10, 7, 4, …
First term, a = 10
Common difference, d=a2−a1=7−10=−3
We know that, an=a+(n−1)da30=10+(30−1)(−3)a30=10+(29)(−3)a30=10−87=−77
Hence, the correct answer is option C.
A.P. 10, 7, 4, …
First term, a = 10
Common difference, d=a2−a1=7−10=−3
We know that, an=a+(n−1)da30=10+(30−1)(−3)a30=10+(29)(−3)a30=10−87=−77
Hence, the correct answer is option C.
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