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 11
A sequence is defined by an = 2n + 1. What is the 6th term?
A sequence is defined by an = 4n - 1. What is the 10th term?
A sequence is defined recursively by a1 = 2, an+1 = an + 5. What is the 6th term?
Find the 8th term of the arithmetic sequence: 12, 9, 6, ...
Find the sum of the first 6 terms of the geometric sequence: 5, 10, 20, ...
If a geometric sequence has a first term of 81 and a common ratio of 1/3, what is the 4th term?
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 an arithmetic sequence is 7 and the 10th term is 43, what is the sum of the first 10 terms?
If the sum of the first 4 terms of an arithmetic sequence is 40 and the first term is 5, what is the common difference?
If the sum of the first 5 terms of a geometric sequence is 62 and the first term is 2, with common ratio r, what is the value of r?
If the sum of the first n terms of a sequence is Sn = 3n2 + 2n, what is the n-th term?
If the sum of the first n terms of an arithmetic sequence is Sn = n(n+1), what is the first term?
The first term of a geometric sequence is 3 and the common ratio is 2. What is the 5th term?
A geometric sequence has a 5th term of 162 and a 2nd term of 6. What is the common ratio?
Consider the sequence defined by an = 2an-1 - an-2 with a1 = 1 and a2 = 3. What is the value of a5?
Given the sequence an = 3n - 2, find the sum of all terms from n = 5 to n = 20 inclusive.
Given the sequence defined recursively by a1 = 4, an+1 = 3an - 2, find an explicit formula for an.
If the sum of the first n terms of a sequence is Sn = 5n2 - n, find the 12th term of the sequence.
If the sum of the first n terms of an arithmetic sequence is Sn = 7n + 3n2, what is the common difference?
