Not sure what I’m doing wrong here. That was my approach:
“double the reciprocal of a number 8 times•
The doubling occurs 8 times
I’m afraid I still don’t get it…
double the reciprocal once is 1/x x 2
double the reciprocal twice is 1/x x 2 + 1/x x 2
and so on…
My interpretation:
Doubling the reciprocal one time means \frac{1}{x} \times 2.
Doubling the reciprocal two times means \frac{1}{x} \times 2 \times 2, or \frac{1}{x} \times 2^2.
Doubling the reciprocal three times means \frac{1}{x} \times 2 \times 2 \times 2, or \frac{1}{x} \times 2^3.
Doubling the reciprocal four times means \frac{1}{x} \times 2 \times 2 \times 2 \times 2, or \frac{1}{x} \times 2^4.
And so forth.
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