IB Diploma · Mathematics Aa

Sequences and series

23 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 23 questions

The first term of an arithmetic progression is $2$ and its common difference is $3$ . What is the sum of its first $13$ terms?
The first term of an arithmetic progression is $8$ and its common difference is $6$ . What is the sum of its first $20$ terms?
The first term of an arithmetic progression is $9$ and its common difference is $3$ . What is the sum of its first $20$ terms?
The first term of an arithmetic progression is $5$ and its common difference is $2$ . What is the sum of its first $20$ terms?
The first term of an arithmetic progression is $9$ and its common difference is $6$ . What is the sum of its first $17$ terms?
The first term of an arithmetic progression is $9$ and its common difference is $5$ . What is the sum of its first $14$ terms?
What is the sum to infinity of the geometric series $2 + 4/3 + 8/9 + \dots$ ?
What is the sum to infinity of the geometric series $4 + 2 + 1 + \dots$ ?
What is the sum to infinity of the geometric series $12 + 6 + 3 + \dots$ ?
What is the sum to infinity of the geometric series $4 + 4/3 + 4/9 + \dots$ ?
The first term of an arithmetic progression is $9$ and its common difference is $3$ . What is the sum of its first $16$ terms?
The first term of an arithmetic progression is $3$ and its common difference is $4$ . What is the sum of its first $18$ terms?
The first term of an arithmetic progression is $9$ and its common difference is $5$ . What is the sum of its first $16$ terms?
The first term of an arithmetic progression is $6$ and its common difference is $4$ . What is the sum of its first $16$ terms?
The first term of an arithmetic progression is $7$ and its common difference is $2$ . What is the sum of its first $16$ terms?
The third term of an arithmetic sequence is $11$ , and the sum of its first $10$ terms is $185$ . What is the $20$ th term?
A geometric series has sum to infinity $54$ and second term $12$ . What is the largest possible value of the first term?
What is the sum to infinity of the geometric series $12 + 4 + 4/3 + \dots$ ?
The first term of an arithmetic progression is $1$ and its common difference is $6$ . What is the sum of its first $13$ terms?
What is the sum to infinity of the geometric series $2 + 1 + 1/2 + \dots$ ?
What is the sum to infinity of the geometric series $6 + 3 + 3/2 + \dots$ ?
What is the sum to infinity of the geometric series $3 + 3/4 + 3/16 + \dots$ ?
What is the sum to infinity of the geometric series $8 + 2 + 1/2 + \dots$ ?

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