Grade 9 Exam > Grade 9 Notes > Integrated Math 1 > Worksheet (with Solutions): Sequences
Worksheet (with Solutions): Sequences
# Worksheet: Sequences
Section A: Multiple Choice Questions
Q1: What is the next term in the arithmetic sequence: 5, 9, 13, 17, ...?
(a) 19
(b) 20
(c) 21
(d) 22
Q2: Which formula represents the nth term of an arithmetic sequence?
(a) \(a_n = a_1 + (n - 1)d\)
(b) \(a_n = a_1 \cdot r^{n-1}\)
(c) \(a_n = a_1 + nd\)
(d) \(a_n = a_1 \cdot r^n\)
Q3: Identify the type of sequence: 2, 6, 18, 54, ...
(a) Arithmetic
(b) Geometric
(c) Neither
(d) Both arithmetic and geometric
Q4: What is the common ratio in the geometric sequence: 80, 40, 20, 10, ...?
(a) 2
(b) -2
(c) 0.5
(d) -0.5
Q5: Find the 10th term of the arithmetic sequence where \(a_1 = 3\) and \(d = 7\).
(a) 63
(b) 66
(c) 70
(d) 73
Q6: Which of the following sequences is NOT arithmetic?
(a) 7, 12, 17, 22, 27
(b) -5, -2, 1, 4, 7
(c) 3, 6, 12, 24, 48
(d) 100, 95, 90, 85, 80
Q7: What is the 5th term of the geometric sequence with \(a_1 = 2\) and \(r = 3\)?
(a) 54
(b) 81
(c) 162
(d) 243
Q8: In an arithmetic sequence, if \(a_3 = 14\) and \(a_7 = 30\), what is the common difference?
(a) 2
(b) 4
(c) 8
(d) 16
Section B: Fill in the Blanks
Q9: A sequence in which each term after the first is obtained by adding a constant value is called a(n) __________ sequence. Q10: In a geometric sequence, the constant multiplied to get from one term to the next is called the __________. Q11: The explicit formula for the nth term of a geometric sequence is \(a_n = a_1 \cdot\) __________. Q12: If the first term of an arithmetic sequence is 8 and the common difference is -3, then the second term is __________. Q13: A formula that expresses the nth term of a sequence in terms of n is called a(n) __________ formula. Q14: In the sequence 5, 10, 20, 40, ..., each term is __________ the previous term.Section C: Word Problems
Q15: A theater has 20 seats in the first row, 24 seats in the second row, 28 seats in the third row, and so on. If this pattern continues, how many seats are in the 12th row? Q16: A ball is dropped from a height of 512 cm. Each time it bounces, it reaches half the height of the previous bounce. What height does the ball reach after the 4th bounce? Q17: Sarah is saving money for a trip. She saves $15 the first week, $22 the second week, $29 the third week, and continues this pattern. How much money will she save in the 8th week? Q18: A population of bacteria doubles every hour. If there are initially 50 bacteria, how many bacteria will there be after 6 hours? Q19: The first term of an arithmetic sequence is 45 and the common difference is -6. Which term of the sequence will be the first negative term? Q20: A company's value was $2,000,000 at the end of Year 1. If the company's value increases by $250,000 each year, what will the company's value be at the end of Year 10?
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Apr 26, 2026
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