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Questions › UGC-NET › UGC-NET 2025 › Q49
2 marksMathematics › Sequences, series and convergence › Arithmetic and geometric progressions and special seriesEasyabout 1 min

UGC-NET 2025 Question 49: Sequences, series and convergence

Match List-I with List-II.

List-IList-II
A. nth term of an Arithmetic ProgressionI. n2[2a+(n−1)d]\frac{n}{2}[2a + (n-1)d]2n​[2a+(n−1)d]
B. nth term of a Geometric ProgressionII. a(rn−1)r−1, r>1a\frac{(r^n - 1)}{r - 1},\ r > 1ar−1(rn−1)​, r>1
C. Sum to n terms of an Arithmetic ProgressionIII. a+(n−1)da + (n-1)da+(n−1)d
D. Sum to n terms of a Geometric ProgressionIV. arn−1a r^{n-1}arn−1

(where a is the first term, d is the common difference and r is the common ratio)

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Plain-text version

Match List-I with List-II. | List-I | List-II | A. nth term of an Arithmetic Progression | I. n/2[2a + (n-1)d] | B. nth term of a Geometric Progression | II. a((rⁿ - 1))/(r - 1), r > 1 | C. Sum to n terms of an Arithmetic Progression | III. a + (n-1)d | D. Sum to n terms of a Geometric Progression | IV. a rⁿ⁻¹ | (where a is the first term, d is the common difference and r is the common ratio) (A) A-III, B-IV, C-II, D-I (B) A-III, B-IV, C-I, D-II (C) A-IV, B-III, C-I, D-II (D) A-IV, B-I, C-II, D-III

Also written as: Match List-I with List-II. | List-I | List-II | A. nth term of an Arithmetic Progression | I. n/2[2a + (n-1)d] | B. nth term of a Geometric Progression | II. a((r^n - 1))/(r - 1), r > 1 | C. Sum to n terms of an Arithmetic Progression | III. a + (n-1)d | D. Sum to n terms of a Geometric Progression | IV. a r^(n-1) | (where a is the first term, d is the common difference and r is the common ratio)

Sequences, series and convergence has come up 33 times in 5 exams since 2006.

What this question tests

This question is on Arithmetic and geometric progressions and special series, part of Sequences, series and convergence in Mathematics.

Sums of standard progressions and series expansions used in economics.

TestStop has 12 past-paper questions on this subtopic.

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