Sequences and Series
Math ⇒ Algebra
Sequences and Series starts at 9 and continues till grade 12.
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See sample questions for grade 12
A geometric sequence has a first term of 81 and a common ratio of 1/3. What is the 4th term?
A sequence is defined by an = 2an-1 + 1, with a1 = 1. Find a4.
A sequence is defined by an = n2 + 1. What is the 6th term?
A sequence is defined recursively by a1 = 2, an+1 = 3an + 1. Find a3.
Find the 10th term of the sequence defined by an = 4n - 3.
Find the sum of the infinite geometric series 8 + 4 + 2 + 1 + ...
If the 3rd term of an arithmetic sequence is 10 and the 7th term is 22, what is the common difference?
If the first term of a geometric sequence is 3 and the common ratio is 2, what is the 5th term?
If the sum of the first 5 terms of a geometric sequence is 62 and the first term is 2, what is the common ratio?
If the sum of the first n terms of a sequence is Sn = 3n2 + 2n, what is the 4th term?
If the sum of the first n terms of a sequence is Sn = n(n+1), what is the nth term?
The sum of the first 10 terms of an arithmetic sequence is 145. If the first term is 5, what is the common difference?
A geometric sequence has positive terms. If the 2nd term is 12 and the 5th term is 96, what is the common ratio?
Consider the sequence defined by a1 = 2, an+1 = an + 3n for n ≥ 1. Find a formula for an in terms of n.
Given the sequence defined by a1 = 5, a2 = 11, and an = 4an-1 - 4an-2 for n ≥ 3, find a general formula for an.
If the sum of the first n terms of a geometric sequence is Sn = 81(1 - (1/3)n)/ (1 - 1/3), what is the first term of the sequence?
If the sum of the first n terms of a sequence is Sn = 2n3 + 3n2 + n, find the 5th term of the sequence.
The sum of the first n terms of an arithmetic sequence is given by Sn = 7n2 + 2n. Find the common difference of the sequence.
