The seventh term of the exponential progression is 16 times greater than 3. Find the denominator of the progression.
| April 3, 2021 | education
We write the condition in the form of the ratio between the third and seventh terms of the geometric progression, while the exponent to which the denominator of the progression must be raised is found as the difference between these numbers.
b7 = b3 * q ^ (7 – 3).
b7: b3 = q ^ 4.
16 = q ^ 4.
2 ^ 4 = q ^ 4.
q = 2.
Answer: the denominator of the progression q = 2.
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