Given a geometric progression (bn), for which b6 = 75, b8 = 27. Find the denominator of the progression.
| December 16, 2020 | education
b (n) = b (1) * q ^ n-1
b (6) = b (1) * q ^ 5
b (8) = b (1) * q ^ 7
Let’s compose the system and find q:
1) 75 = b (1) * q ^ 5 2) b (1) = 75 / q ^ 5
1) 27 = b (1) * q ^ 7 2) 27 = 75 / q ^ 5 * q7
3) 27 = 75 * q ^ 2
4) q ^ 2 = 27/75
5) q ^ 2 = 0.36
6) q = 0.6 or q = -0.6
Answer: q = 0.6 or q = -0.6.
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