Formula: Fluency & Practice
Mathematics
Grade 6
11 questions
~22 mins
1 views0 downloads
About This Worksheet
This worksheet focuses on understanding and applying the formula for geometric sequences. Students will practice calculating terms, finding common ratios, and solving real-world problems involving geometric sequences.
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Full preview • 11 questions
Formula: Fluency & Practice
Subject: MathematicsGrade: Grade 6
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Untitled Worksheet
Grade Grade 6
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
Given the first term a_1 = 3 and common ratio r = 2, calculate the 5th term of the sequence.
[2 marks]2.
Write the formula to find the nth term of a geometric sequence with first term a_1 and common ratio r.
[2 marks]3.
If a sequence starts with a_1 = 5 and each term is multiplied by 3, what is the 4th term?
[2 marks]4.
Identify the common ratio r in the sequence: 8, 16, 32, 64.
[1 mark]5.
Calculate the 6th term of a sequence where a_1 = 2 and r = 3.
[2 marks]6.
A sequence has an initial term 10 and a common ratio of 0.5. Find the third term.
[2 marks]7.
Construct a sequence where the first term is 4 and the common ratio is 1/2. Find the 4th term.
[3 marks]8.
If the 3rd term of a geometric sequence is 24 and the first term is 3, what is the common ratio?
[3 marks]9.
A ball is dropped from a height of 10 meters, and each bounce reaches half the previous height. Plot the heights of the first 5 bounces on the grid.
[4 marks]10.
A bank account grows by 5% annually. If the initial amount is $1000, what will be the amount after 4 years? (round to nearest dollar)
[4 marks]11.
Identify and correct the mistake in this sequence: 2, 4, 8, 16, 30.
[3 marks]Quick Actions
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Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet