WBJEE · Mathematics

Sequences and series

12 practice questions, each with the answer and an explanation.

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Random questions from this topic, one at a time. You see the answer and the explanation straight after each one.

All 12 questions

The first term of an arithmetic progression is $2$ and its common difference is $6$ . What is the sum of its first $11$ terms?
The first term of an arithmetic progression is $8$ and its common difference is $4$ . What is the sum of its first $13$ terms?
The first term of an arithmetic progression is $1$ and its common difference is $4$ . What is the sum of its first $16$ terms?
The first term of an arithmetic progression is $8$ and its common difference is $5$ . What is the sum of its first $16$ terms?
The first term of an arithmetic progression is $8$ and its common difference is $6$ . What is the sum of its first $18$ terms?
The first term of an arithmetic progression is $2$ and its common difference is $2$ . What is the sum of its first $13$ terms?
What is the sum to infinity of the geometric series $12 + 4 + 4/3 + \dots$ ?
What is the sum to infinity of the geometric series $8 + 16/3 + 32/9 + \dots$ ?
What is the sum to infinity of the geometric series $2 + 2/3 + 2/9 + \dots$ ?
What is the sum to infinity of the geometric series $3 + 2 + 4/3 + \dots$ ?
The smallest positive integer $n$ for which $k = 1 \sum n \frac{1}{k + k + 1} > 9$ is
What is the sum to infinity of the geometric series $8 + 8/3 + 8/9 + \dots$ ?

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