Sequences and Series

Math ⇒ Algebra

Sequences and Series starts at 9 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Sequences and Series. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.

See sample questions for grade 10

Find the 6th term of the sequence defined by aₙ = 2n + 1.

Find the 7th term of the geometric sequence: 3, 6, 12, ...

Find the 8th term of the arithmetic sequence: 10, 7, 4, ...

Find the common ratio of the geometric sequence: 81, 27, 9, 3, ...

Find the sum of the first 10 terms of the arithmetic sequence: 1, 4, 7, ...

Find the sum of the first 6 terms of the geometric sequence: 2, 4, 8, ...

Find the sum to infinity of the geometric series: 4, 2, 1, ...

If the 3rd term of an arithmetic sequence is 12 and the 7th term is 24, what is the common difference?

If the first term of a geometric sequence is 5 and the common ratio is 0.5, what is the sum to infinity?

If the first term of an arithmetic sequence is 12 and the 5th term is 24, what is the common difference?

If the first term of an arithmetic sequence is 7 and the common difference is 3, what is the 10th term?

If the nth term of a sequence is given by aₙ = 3n - 2, what is the 15th term?

If the sum of the first 4 terms of a geometric sequence is 30, the first term is 2, and the common ratio is r, what is the value of r?

If the sum of the first n terms of an arithmetic sequence is 100, the first term is 5, and the common difference is 3, what is n?

The first term of a geometric sequence is 3 and the common ratio is 2. What is the 5th term?

The sum of the first 4 terms of a geometric sequence is 30. If the first term is 2 and the common ratio is 2, what is the 4th term?

What is the general formula for the nth term of an arithmetic sequence?

What is the sum of the first 5 terms of the arithmetic sequence 2, 5, 8, ...?

Which of the following is NOT a sequence? (1) 1, 2, 3, 4 (2) 2, 4, 8, 16 (3) 5, 10, 15, 20 (4) 7, 14, 21, 28, ...

A geometric sequence has a first term of 81 and a common ratio of 1/3. What is the sum of the first 6 terms?