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

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

Total Questions: 50

1. Which of the following is the relation between arithmetic mean, geometric mean and harmonic mean? [OAVS TGT 2017]

Correct Answer: (b) GM² = AM × HM
Solution:

2. In an arithmetic progression the first term is 34 and the last term is 124. If there are 31 numbers in the progression then the common difference is: [OAVS TGT 2017]

Correct Answer: (a) 3
Solution:

3. If each term of an arithmetic progression is multiplied or divided by the same non-zero constant, the resulting sequence will be in [OAVS TGT 2017]

Correct Answer: (b) Arithmetic progression
Solution:

4. The sum of n terms of an arithmetic progression is 364 and the sum of (n -1) terms is 340 then the nᵗʰ term of the progression is: [OAVS TGT 2017]

Correct Answer: (d) 24
Solution:

5. The two geometric means between 1 and 64 are [KVS TGT 2017]

Correct Answer: (c) 4 and 16
Solution:

6. The A.M., G.M. and H.M. between two positive numbers a and b are equal, then- [KVS TGT 2017]

Correct Answer: (d) a = b
Solution:

7. If 𝓍, 2𝓍+2, 3x+3, are in GP, then the fourth term is- [KVS TGT 2017]

Correct Answer: (d) -(27/2)
Solution:


8. If 𝓍, 𝓎, 𝓏 are in AP, then the value of (𝓍+𝓎-𝓏) (𝓎+𝓏-𝓍) is- [KVS TGT 2017]

Correct Answer: (a) 8𝓎𝓏-3𝓎²-4²
Solution:

9. If the progressions 3, 10, 17, ... and 63, 65, 67, ... are such that there nᵗʰ terms are equal then n is equal to [KVS TGT 2017]

Correct Answer: (a) 13
Solution:

10. The geometric mean of the numbers 3, 9, 27, 81, 243 is- [KVS TGT 2017]

Correct Answer: (b) 27
Solution: