The third term of a geometric progression is 8, then the product of the first five terms is
Question
The third term of a geometric progression is 8, then the product of the first five terms is
Solution
To find the product of the first five terms of a geometric progression, we need to determine the common ratio (r) and the first term (a).
Given that the third term is 8, we can use the formula for the nth term of a geometric progression:
an = a * r^(n-1)
Substituting n = 3 and an = 8, we have:
8 = a * r^(3-1) 8 = a * r^2
Now, we need to find the values of a and r. To do this, we can use another piece of information or equation from the problem. If we have additional information, please provide it so that we can proceed with the calculation.
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