Sequences and Series in Calculus

Math ⇒ Calculus

Sequences and Series in Calculus starts at 11 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 in Calculus. 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 11

A geometric sequence has a first term of 6 and a common ratio of 0.5. What is the 4th term?

Find the 10th term of the sequence 3, 7, 11, 15, ...

Find the 12th term of the arithmetic sequence 4, 9, 14, ...

Find the 7th term of the geometric sequence 1, 3, 9, 27, ...

Find the sum of the first 5 terms of the sequence defined by a_n = 2n - 1.

Find the sum of the first 6 terms of the arithmetic sequence 2, 5, 8, ...

Find the sum of the infinite geometric series 10 + 5 + 2.5 + ...

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

If a sequence is defined by a_n = 5 - 2n, what is the 8th term?

If a sequence is defined recursively by a₁ = 1, a_n+1 = a_n + 3, what is a₆?

If a sequence is defined recursively by a₁ = 2, a_n+1 = 3a_n, what is a₄?

If the first term of an arithmetic sequence is 7 and the 5th term is 23, what is the common difference?

If the sum of an infinite geometric series is 8 and the first term is 2, what is the common ratio?

If the sum of the first 5 terms of an arithmetic sequence is 40 and the first term is 4, what is the common difference?

If the sum of the first n terms of a sequence is S_n = 3n², what is the 5th term?

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

What is the general term (n-th term) of the arithmetic sequence with first term a and common difference d?

What is the sum to infinity of the geometric series 5 + 2.5 + 1.25 + ...?