Final answer:
To find the sum of the extremes in a geometric sequence, apply given conditions and equations to solve the values of the terms.
Explanation:
Sum of extremes in a geometric sequence: In a geometric sequence with four terms, the sum of all terms is given by a formula. Let's denote the terms as a, ar, ar^2, ar^3 where a is the first term, r is the common ratio.Given information application: Applying the given sum and difference conditions, you can form equations to solve for the values of the terms, leading to finding the sum of the extremes.Calculation: Solving the system of equations will provide the values of a and ar^3 which you can use to find the sum of the extremes.
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