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 9

A geometric sequence has a first term of 9 and a common ratio of 1/3. What is the 5th term?

A sequence is defined as a_n = 2a_n-1 for n > 1, with a₁ = 1. What is a₅?

A sequence is defined as a_n = 5 - n. What is the 8th term?

A sequence is defined by a_n = 3n + 2. What is the 10th term?

A sequence is defined by a_n = n². What is the 7th term?

Find the 12th term of the arithmetic sequence: 6, 10, 14, 18, ...

Find the 6th term of the sequence: 3, 7, 11, 15, ...

Find the 8th term of the geometric sequence: 1, 3, 9, 27, ...

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

Find the sum of the first 6 terms of the geometric sequence: 2, 6, 18, ...

Find the sum of the infinite geometric series: 4 + 2 + 1 + 0.5 + ...

If a sequence is defined recursively by a₁ = 2 and a_n+1 = a_n + 5, what is a₄?

If the 3rd term of an arithmetic sequence is 12 and the common difference is 4, what is the first term?

If the first term of a geometric sequence is 5 and the common ratio is 2, what is the 4th term?

If the first term of an arithmetic sequence is 10 and the common difference is -3, what is the 5th term?

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

If the sum of the first n terms of a sequence is S_n = n(n+1), what is the nth term?

If the sum of the first n terms of an arithmetic sequence is 100 and the first term is 2, what is the value of n if the common difference is 2?

Is the sequence 1, 4, 9, 16, 25, ... arithmetic, geometric, or neither?

What is the common difference in the arithmetic sequence: 7, 12, 17, 22, ...?