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Apt Sequence Ap Gp — Free Aptitude Tutorial

Learn Apt Sequence Ap Gp in Aptitude with a free, beginner-friendly tutorial, examples and practice for Indian students on Syllab.in.

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TL;DR: Learn Apt Sequence Ap Gp in Aptitude with a free, beginner-friendly tutorial, examples and practice for Indian students on Syllab.in.

Written & reviewed by the Syllab.in Academic Team (CBSE/NCERT subject experts) · Updated Jul 14, 2026

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Apt Sequence Ap Gp in Aptitude

Arithmetic Progression (AP): a, a+d, a+2d, a+3d... n-th term: Tₙ = a+(n-1)d. Sum: Sₙ = n/2 × [2a+(n-1)d] = n/2 × (first+last).

Geometric Progression (GP): a, ar, ar², ar³... n-th term: Tₙ = a×rⁿ⁻¹. Sum: Sₙ = a(rⁿ-1)/(r-1) for r≠1.

For infinite GP with |r|<1: Sum = a/(1-r).

AP mean: middle term = average of all terms. Insert n AMs between a and b: common difference d = (b-a)/(n+1).

GP mean: Geometric mean between a and b = √(ab).

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