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

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

Total Questions: 50

1. In a G.P. consisting of positive terms, each term equals the sum of the next two terms. Then, the common ratio of this progression equals : [EMRS PGT-2023]

Correct Answer: (a)
Solution:

2. In an A.P.Sₙ, denotes the sum of first n terms. If S₂ₙ =3.Sₙ, then S₃ₙ : Sₙ is equal to : [EMRS PGT-2023]

Correct Answer: (b) 6:1
Solution:

3. The sum of first three terms of a GP is 21/4 are their product is 27/8. The common ratio of the G.P. is: [EMRS PGT-2023]

Correct Answer: (a)
Solution:

4. The value of series 1²+2²+3² +...+p² is [Bihar (TRE 2.0)-2023]

Correct Answer: (c)
Solution:

5. If 1/(b+c), 1/(c+a) and 1/(a+b) are in arithmetic progression, then [Bihar (TRE 2.0)-2023]

Correct Answer: (b) a², b², c² are in arithmetic progression
Solution:

6. The first term of a geometric progression is 1. If the sum of the third term and fifth term is 90, then the common ratio of the geometric progression is [Bihar (TRE 2.0)-2023]

Correct Answer: (a) 3
Solution:

7. Which term of the following sequence is 128? [Bihar (TRE 2.0)-2023]

2,2 √2, 4, .....

Correct Answer: (c) 13th term
Solution:

8. If the arithmetic mean and geometric mean of the roots of a quadratic equation are 8 and 5, respectively, then the quadratic equation is [Bihar (TRE 2.0)-2023]

Correct Answer: (b) 𝓍²- 16𝓍 +25 = 0
Solution:

9. Solve the following equation? [EMRS TGT-2023]

Correct Answer: (b) q³
Solution:

10. If the roots of the equation 𝓍³-12𝓍²+39𝓍-28 = 0 are in AP, then their common difference is: [EMRS TGT-2023]

Correct Answer: (b) ±3
Solution: