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need help with problem

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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?

Jan 16, 2020

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Afer step 1  we have  :  1/n

After step 2 we have :  2/n

After step 3 we have that

n/ 2  = 16       multiply both sides  by 2

n  = 32 =  the starting integer

Jan 16, 2020