Choose the correct choice in the following and justify: (i) 30th term of the AP: 10, 7, 4,..., is (A) 97 (B) 77 (C) -77 (D) 87 (ii) 11th term of the AP: -3, -1, 2, 2,...., is (A) 28 (B) 22 (C) 38 (D) -4812

(i) Given thatA.P.10,7,4,…First term,a=10Common difference,d=a2=a1=7−1;0=−3We know thatan=a+(n−1;)da30=10+(30−1;)(−3)=10+(29)(−3)=10−87=−77Hence, the correct answer is option C (ii) A.P. is−3,−1;2,2,..First terma=−3Common difference,d=a2−a1=−1;2−(−3)=52We know that,an=a+(n−1;)da11=−3+(11−1;)52=−3+(10)52=−3+25=22Hence, the answer is option B.