Geometric Sequences (Year 8)
Free printable UK Year 8 (Key Stage 3) maths worksheet: find missing terms, the common ratio and the nth term of geometric sequences.
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Grade 7 · Math worksheet
Name
Date
Math
Geometric Sequences
Find missing terms, the common ratio, and the nth term of each geometric sequence, and identify arithmetic vs geometric sequences.
- 1.Here are the first 4 terms of a sequence: 4, 12, 36, 108. Find the next 2 terms and the common ratio.
- 2.Here are the first 4 terms of a sequence: 5, 10, 20, 40. Find the next 2 terms and the common ratio.
- 3.Here are the first 4 terms of a sequence: 1, 4, 16, 64. Find the next 2 terms and the common ratio.
- 4.Here are the first 4 terms of a sequence: 324, 108, 36, 12. Find the next term and the common ratio.
- 5.Here are the first 4 terms of a sequence: 96, 48, 24, 12. Find the next term and the common ratio.
- 6.A geometric sequence has first term a = 2 and common ratio r = 3. Write a formula for the nth term, and find the 6th term.
- 7.A geometric sequence has first term a = 4 and common ratio r = 3. Write a formula for the nth term, and find the 6th term.
- 8.A geometric sequence has first term a = 3 and common ratio r = 3. Write a formula for the nth term, and find the 5th term.
- 9.Is this sequence arithmetic or geometric? 1, 3, 9, 27. Explain how you know.
- 10.Is this sequence arithmetic or geometric? 2, 9, 16, 23. Explain how you know.
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