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Arithmetic Progressions, Assessment Test - 2, Time: 1 Hour, , Max. Marks: 25, , Note: Q. No. 1 - 2 carry 1 mark each, Q. No. 3 - 5 carry 2 marks each, Q. No. 6 - 8 carry 3 marks, each, Q. No. 9 - 10 carry 4 mark each., 1. Find 12th term of the AP with first term 9 and common difference 10., 2. If nth term of an AP is (2n + 1), then find the sum of its first three terms., 3. In an AP, if S5 + S7 = 167 and S10 = 235, then find the AP, where Sn denotes the sum of its, first n terms., 4. The first term of an AP is 5 and its 100th term is -292. Find the 50th term., 5. The third term of an AP is p and the fourth term is q. Find the 10th term., 𝟏, 𝟏, 6. If the seventh term of an AP is 𝟗 and its ninth term is 𝟕, find its 63rd term., 7. The sum of n terms of an AP whose first term is 5 and common difference is 36 is equal, to the sum of 2n terms of another AP whose first term is 36 and common difference is 5., Find n., 8. The sum of n terms of a sequence is 3n2 + 4n. Find the nth term and show that the, sequence is an AP., 9. If Sn denotes the sum of the first n terms of an AP, prove that S30 = 3(S20 – S10)., 10. Find the 60th term of the AP 8, 10, 12, ..., if it has a total of 60 terms and hence find the, sum of its last 10 terms.
