Complete the series.
B)96 D)93
186, 183, 177, 159, (…)
Correct Answer:
A. 87
Explanation:
The series 186, 183, 177, 159 follows a pattern of subtracting powers of 3. Starting from 186, the first difference is 3 (3 to the power of 1), resulting in 183. The next difference is 6 (3 plus 3), resulting in 177. The following difference is 18 (6 multiplied by 3), resulting in 159. Continuing this geometric progression of the differences, the next value to subtract is 18 multiplied by 3, which is 54. Therefore, 159 minus 54 equals 105. Alternatively, if the pattern follows doubling the subtraction amount starting from 3, then 6, then 12 (177 minus 159 is 18), the next reduction would be 72, which is not reflected in the options. Based on the provided choices and the decreasing intervals, the most logical next step in a decreasing series involves subtracting an increasing multiple. If the intended pattern subtracts 3, then 6, then 18, and then 72 (multiplying the subtrahend by 2, 3, then 4), the result would be 87. Subtracting 72 from 159 gives 87, which corresponds to option A.
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