Mathematics

Mathematics

Problem

Three positive numbers are in geometric progression. If the first term is 55 and the third term is 2020, what is the common ratio? a) 44 b) 12\dfrac12 c) 22 d) 33
Intuitive explanation

A geometric progression links terms by multiplying by the same constant each time—that's your common ratio rr. Since you know the first and third terms, you can set up an equation: the third term equals the first term times rr applied twice. This gives you a direct path to find rr without needing the middle term.

Intuitive explanation

A geometric progression links terms by multiplying by the same constant each time—that's your common ratio rr. Since you know the first and third terms, you can set up an equation: the third term equals the first term times rr applied twice. This gives you a direct path to find rr without needing the middle term.

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