Each number in a sequence is formed by doubling the previous number and then adding 1. If the ninth number in the sequence is63, what is the 10th number minus the 7th number?

Step-by-step explanation:

Given

Required

Find

From the question, we have that:

Each sequence = 2 * Previous sequence + 1;

i.e.

Considering the 9th sequence;

------ Equation 1

Considering the 8th sequence;

Substitute for in equation 1

becomes

Open bracket

Substitute 63 for

Subtract 3 from both sides

Divide both sides by 4

Considering

Substitute 63 for

Calculating

Hence, the 10th - 7th number is 112

x=6 and x=3

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