Sequences And Series: quiz

84 questions across 32/32/20 (E/M/H).

33 formulas in this quiz

AGP: sum a + (a+d)r + (a+2d)r^2 + …

2 Qs

AM–GM for two positive numbers

2 Qs

Harmonic mean (two numbers)

2 Qs

AM ≥ GM ≥ HM (two positive numbers)

2 Qs

AP: nth term

2 Qs

AP: sum of first n terms

2 Qs

GP: nth term

2 Qs

GP: sum of first n terms

2 Qs

Infinite GP sum

2 Qs

HP: reciprocals form an AP

2 Qs

AP general term (nth term)

3 Qs

Sum of first n terms of an AP

3 Qs

GP general term (nth term)

3 Qs

Sum of first n terms of a GP

3 Qs

Sum to infinity of an infinite GP

3 Qs

Harmonic progression and HP nth term

3 Qs

AM–GM inequality (n positive numbers)

3 Qs

AM, GM, HM for two positive numbers

3 Qs

Finite arithmetico–geometric series sum

3 Qs

Sum of first n natural numbers

3 Qs

Sum of first n squares

3 Qs

Sum of first n cubes

3 Qs

Method of differences (polynomial-type general term)

3 Qs

Telescoping series

3 Qs

Vₙ method (product-to-ratio for telescoping)

3 Qs

Inserting n arithmetic means between two numbers

3 Qs

Inserting n geometric means between two numbers

3 Qs

Infinite arithmetico–geometric series

3 Qs

Sum of first n natural numbers

2 Qs

Sum of squares Σn²

2 Qs

Sum of cubes Σn³

2 Qs

Telescoping sums

2 Qs

Vₙ method (reciprocal products in AP)

2 Qs