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 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 an = 2an-1 for n > 1, with a1 = 1. What is a5?
A sequence is defined as an = 5 - n. What is the 8th term?
A sequence is defined by an = 3n + 2. What is the 10th term?
A sequence is defined by an = 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, ...
Which formula is used to find the sum of the first n terms of an arithmetic sequence? (1) Sn = n/2 [2a1 + (n-1)d] (2) Sn = a1rn-1 (3) Sn = n(a1 + an)/2 (4) Sn = a1 + (n-1)d
Which of the following is a finite sequence? (1) 1, 2, 3, 4, ... (2) 2, 4, 8, 16, ... (3) 5, 10, 15, 20 (4) 7, 14, 21, 28, ...
Which of the following is a geometric sequence? (1) 2, 4, 8, 16 (2) 3, 6, 9, 12 (3) 5, 10, 20, 40 (4) 7, 14, 21, 28
Which of the following is a recursive formula for the sequence 3, 6, 12, 24, ...? (1) an = 3 × 2n-1 (2) an = an-1 × 2, a1 = 3 (3) an = an-1 + 3, a1 = 3 (4) an = 3n
Fill in the blank: The difference between the 10th and 5th terms of the arithmetic sequence 4, 9, 14, 19, ... is ___
Fill in the blank: The general term of a geometric sequence is an = a1 × r___.
Fill in the blank: The nth term of an arithmetic sequence is given by an = a1 + (n - ___)d.
Fill in the blank: The nth term of the sequence 2, 5, 8, 11, ... is an = ___
True or False: In a geometric sequence, the ratio between consecutive terms is always constant.
True or False: In an arithmetic sequence, the difference between any two consecutive terms is always the same.
True or False: The sequence 1, 1/2, 1/4, 1/8, ... converges to 0 as n increases.
True or False: The sequence 1, 2, 4, 8, 16, ... is both arithmetic and geometric.
