Final answer:
The equivalent expression must consider the value of 'n'. For n = 0, the sum equals 10, but for other values of 'n' the expression changes, so the correct answer is not provided in the options.
Step-by-step explanation:
The question asks which of the following is equivalent to the sum of 10(−7/8)^n. It's important to understand that when evaluating expressions with exponents, the value of the exponent dictates how the base is used. For n = 0, we have 10(−7/8)^0 = 10 × 1 = 10 since any non-zero number raised to the power of 0 equals 1. However, for n ≠ 0, the expression 10(−7/8)^n will differ based on the value of n. A sum of these terms would not simply equal 10 or 0, so options A and B are incorrect. Since option D includes a negative exponent which would not match the positive exponent in the original expression, it is also incorrect. Therefore the correct answer is not among the provided options or the question is missing proper context.