Question 93

Complete the series.
1, 3, 7, 15, 31, (…)

Solution

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1, 3, 7, 15, 31, (…)

all the nos. are multiplied by 2 and added by 1

$$1\times 2 + 1=3$$

$$3\times 2 + 1=7$$

$$7\times 2 + 1=15$$

$$15\times 2 + 1=31$$

so next 

$$31\times 2 + 1=63$$

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