Choose the correct choice in the following and justify: (i) 30thterm 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 Weknowthat,an=a+(n−1)da30=10+(30−1)(−3)a30=10+(29)(−3)a30=10−87=−77 Hence, the correct answer is option C.