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Sequences & Series — JEE Practice

15 practice questions across 1 topics. Filter by difficulty, solve topic-wise MCQs, and review detailed solutions.

1 Topics15 Questions

AP, GP & Special Series(15 Qs)

easy (5)

Q1The nth term of an AP with first term a and common difference d is:Q2Sum of first n terms of an AP is:Q3The nth term of a GP with first term a and common ratio r is:Q4Sum to infinity of a GP with |r| < 1 is:Q51 + 2 + 3 + ... + n =

medium (5)

Q1If a, b, c are in AP, then:Q2If a, b, c are in GP, then:Q31² + 2² + 3² + ... + n² = Q4Harmonic mean of a and b is:Q5Sum of n terms of GP with first term a and ratio r ≠ 1 is:

hard (5)

Q1AM-GM inequality states:Q21³ + 2³ + 3³ + ... + n³ = Q3The sum Σ(1/(k(k+1))) for k=1 to n equals:Q4An arithmetico-geometric series has general term:Q5If Sₙ = 3n² + 5n, the common difference of the AP is:

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