The sixteenth and nineteenth terms of the geometric progression are 44 and 5.5, respectively.
| February 23, 2021 | education
The sixteenth and nineteenth terms of the geometric progression are 44 and 5.5, respectively. Find the members of the progression between them.
You are given a decreasing geometric progression, each subsequent term of which is equal to the previous term multiplied by the denominator q;
A19 = A18 * q; A18 = A17 * q; A17 = A16 * q; A19 = A16 * q ^ 3;
A19 / A16 = 5.5 / 44 = 1/8; q ^ 3 = 1/2;
Answer: The denominator of the geometric progression is 1/2:
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