Algebra (Mathematics Chapterwise Solved Papers for Teaching) (Part-10)

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

Total Questions: 50

41. Solve the following equation? [UP TGT-2016 (08-03-2019)]

Correct Answer: (a)
Solution:


42. In a geometric progression, first term is 7, the last term is 448 and the sum is 889. The common ratio of the geometric progression is [UP TGT-2016 (08-03-2019)]

Correct Answer: (b) 2
Solution:

43. If a, b, c are in A.P. as well as in G.P., then: [NVS PGT 10-06-2019]

Correct Answer: (b) a=b=c
Solution:

44. The sum of the 24 terms of the series √2+√8+√18+√32+ ... is: [NVS PGT 10-06-2019]

Correct Answer: (d) 300√2
Solution:

45. Solve the following equation? [NVS PGT 10-06-2019]

Correct Answer: (c) 1.5
Solution:

46. A person is to count 4500 notes. Let aₙ denote the number of notes that he counts in nᵗʰ minute. [KVS PGT 23-12-2018]

If a₁, = a₂ =....... = a₁₀ = 150 and a₁₀, a₁₁, a₁₂,.... are in AP with common difference -2, find the total time spent on counting 4500 notes

Correct Answer: (b) 34 minutes
Solution:


47. If a₁, a₂, a₃,..... are in H.P., then the expression a₁,a₂, + a₂,a₃, + .......+ aₙ₋₁ aₙ an is equal to: [KVS PGT 23-12-2018]

Correct Answer: (d) (n-1)a₁aₙ
Solution:


48. Find the minimum value of 4ˢⁱⁿ²ˣ + 4ᶜᵒˢ²ˣ : [KVS PGT 23-12-2018]

Correct Answer: (c) 4
Solution:

49. The first four terms of an A.P. are p, 9, 3p-q and 3p+q. Find the 2010ᵗʰ term of this A.P.: [NVS PGT-2022,KVS PGT 23-12-2018]

Correct Answer: (a) 8041
Solution:



50. Three distinct numbers 𝓍, 𝓎, 𝓏 from a G.P. in that order and the number 𝓍+𝓎, 𝓎+𝓏, 𝓏+𝓍 from an A.P. in that order. Find the common ratio of the G.P. [KVS PGT 23-12-2018]

Correct Answer: (d) 1 or -2
Solution: