AP, GP, HP, arithmetic-geometric series, sum of special series.
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Q1 · Sequences and Series (Class 11 — ~20% weight) · MEDIUM
The sum of the first 20 terms of an arithmetic progression is 670 and the sum of the first 40 terms is 2680. What is the first term of the AP?
Q2 · Sequences and Series (Class 11 — ~20% weight) · EASY
If the 5th term of a geometric progression is 48 and the 8th term is 384, what is the common ratio?
Q3 · Sequences and Series (Class 11 — ~20% weight) · HARD
Find the sum of the series 1 + 3(1/2) + 5(1/4) + 7(1/8) + ... up to infinity.
Q4 · Sequences and Series (Class 11 — ~20% weight) · EASY
The sum of the first 20 terms of an arithmetic progression is 520, and the first term is 7. The common difference is: