Algebra (Mathematics Chapterwise Solved Papers for Teaching) (Part-9)

Sequences and Series (A.P, G.P, H.P)

Total Questions: 50

11. If in an AP, the pᵗʰ term is q and the (p+q)ᵗʰ term is 0 (zero), then the qth term is: [EMRS TGT-2023]

Correct Answer: (a) p
Solution:


12. The interior angles of a polygon are in arithmetic progression. The smallest angle is 120° and the common difference is 5°. The number of sides of the polygon is: [EMRS TGT-2023]

Correct Answer: (a) 9
Solution:


13. The sum of two non-zero numbers is 6. The minimum value of sum of their reciprocals is : [KVS PGT 2023 ]

Correct Answer: (c) 2/3
Solution:

14. The first and last terms of an AP are 1 and 11. If the sum of the terms is 48, then the number of terms are: [KVS PGT 2023]

Correct Answer: (c) 8
Solution:

15. If second term of a G.P. is 2 and the sum of its infinite terms is 8, then the first term is: [KVS PGT 2023]

Correct Answer: (d) 4
Solution:

16. Let Sₙ denote the sum of first n elements of an AP. If S₂ₙ = 3 Sₙ then S₃ₙ : Sₙ is equal to : [KVS PGT 2023]

Correct Answer: (b) 6
Solution:

17. If a, 4, b are in AP and a, 2, b are in GP, then a, 1, b are in : [KVS PGT 2023]

Correct Answer: (c) HP
Solution:

18. Solve the following equation? [KVS PGT 2023, TGT 2010]

Correct Answer: (b) 1
Solution:

19. The angles of a triangle are in A.P. and the largest angle is 75°. The smallest angle is : [NVS PGT 2022]

Correct Answer: (c) 45°
Solution:

20. If the coefficients of second, third and fourth terms in the expansion of (1+𝓍)ⁿ are in an A.P. Then the value of n? [KVS PGT 2022]

Correct Answer: (a) 7
Solution: