PU E 2026 Sequences and Series Free Quiz 2

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PU E 2026 Sequences and Series Free Quiz 2

PU E Quiz

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Remaining: 10

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General 10 MCQs

11. What is a harmonic sequence?

A. Reciprocal of an arithmetic sequence B. Reciprocal of a geometric sequence C. Reciprocal of any sequence D. Not a sequence

12. Which is a harmonic sequence?

A. 1, 1/2, 1/4, 1/8, ... B. 1, 1/2, 1/3, 1/4, ... C. 1, 1/3, 1/5, 1/7, ... D. 1, 1/4, 1/9, 1/16, ...

13. What is the nth term of a harmonic sequence?

A. 1/a₁ rⁿ⁻¹ B. a₁ + (n-1)d C. 1/(a₁ + (n-1)d) D. 1/a₁ rⁿ

14. What is the difference between AP and GP?

A. AP: constant difference, GP: constant ratio B. AP: constant ratio, GP: constant difference C. Both have constant difference D. Both have constant ratio

15. What is the arithmetic mean between a and b?

A. √(ab) B. (a+b)/2 C. 2ab/(a+b) D. (a-b)/2

16. What is the sum of an infinite GP with |r| < 1?

A. a₁/(r-1) B. a₁/(1+r) C. a₁/(r-1) D. a₁/(1-r)

17. What is the sum of the infinite GP 1 + 1/2 + 1/4 + 1/8 + ...?

A. 2 B. 1 C. 3 D. 4

18. What does Σ notation represent?

A. Sum of a sequence B. Product of a sequence C. Factorial D. Integral

19. What is the sum Σ_{i=1}^{n} i?

A. n(n+1) B. n(n+1)/2 C. n² D. n(n+1)(2n+1)/6

20. What is the sum Σ_{i=1}^{n} i²?

A. n(n+1)/2 B. n(n+1)(2n+1)/3 C. n(n+1)(2n+1)/6 D. n²(n+1)²/4

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