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statuscvo [17]
3 years ago
10

Beginning with an integer $n,$ Jake goes through the following steps: $\bullet$ 1. Take the reciprocal of the starting number. $

\bullet$ 2. Double the number obtained in Step 1. $\bullet$ 3. Take the reciprocal of the number obtained in Step 2. At the end of the third step, Jake ends up with the number $16.$ What number did Jake start with?
Mathematics
2 answers:
fgiga [73]3 years ago
6 0

See https://web2.0calc.com/questions/need-help-with-problem_1.

evablogger [386]3 years ago
4 0

Answer: n= 32

Jakes started with 32

Step-by-step explanation:

Let n represent the initial integer.

Step 1: take the reciprocal.

Reciprocal of n = 1/n

Step 2: double the number obtained in step 1

= 2×1/n = 2/n

Step 3: take the reciprocal of the number obtained in step 2.

Reciprocal of 2/n = n/2

Since he ended up with 16

n/2 = 16

n = 2×16 = 32

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