Geometric progression, special series — sum of natural numbers, squares, cubes.
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Q1 · Sequence and Series · EASY
The sum of the first 20 natural numbers is:
Q2 · Sequence and Series · MEDIUM
In a geometric progression, the first term is 5 and the common ratio is 3. What is the 5th term of this progression?
Q3 · Sequence and Series · MEDIUM
The sum of the squares of the first 10 natural numbers is:
Q4 · Sequence and Series · HARD
A geometric progression has first term 2 and common ratio 1/2. The sum to infinity of this progression is:
Q5 · Sequence and Series · HARD
The sum of the first n terms of a series is given by Sₙ = 3n² + 2n. What is the 8th term of this series?