if x={8^n - 7n - 1} and y={49(n-1)} prove that x is a subset of y
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Originally Posted by grgrsanjay if x={8^n - 7n - 1} and y={49(n-1)} prove that x is a subset of y So presumably n is a positive integer. You need to show that (The expression also must be non-negative but this is trivial.) Use mathematical induction. Base case, n = 1. Induction step.
Hello, grgrsanjay! If , prove that: . We want to show that is always a multiple of 49. We have: . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Therefore: . is a multiple of 49.
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