If the 2nd term of a GP is 12 and the 4th term is 48, what is the common ratio?
Practice Questions
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If the 2nd term of a GP is 12 and the 4th term is 48, what is the common ratio?
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Let the first term be a and the common ratio be r. Then, 2nd term = ar = 12 and 4th term = ar^3 = 48. Dividing these gives r^2 = 4, so r = 2.
Questions & Step-by-step Solutions
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Q
Q: If the 2nd term of a GP is 12 and the 4th term is 48, what is the common ratio?
Solution: Let the first term be a and the common ratio be r. Then, 2nd term = ar = 12 and 4th term = ar^3 = 48. Dividing these gives r^2 = 4, so r = 2.