Question

fill in the missing numbers and explain.
1,3,7,15,31,__,__,___​

Answer 1

Answer:

Mark as brainlist

Step-by-step explanation:

1, 3, 7, 15, 31, 63, is 127.

Answer 2

Answer:

63 and 127 is the next number in the series.

Step-by-step explanation:

Method I -

With the first number ‘1’, continue ahead in the way given :

Add the numbers to 2 raised to 1, as the numbers are increasing, the power of 2 will also consecutively increase.

⇒ 1 + 2¹ = 3

⇒ 3 + 2² = 7

⇒ 7 + 2³ = 15

⇒ 15 + 2⁴ = 31

⇒ 31 + $\sf{2}^{5}$ = 63

⇒ 63 + $\sf{2}^{6}$ = 127

Therefore, next terms in the sequence is are 63 and 127.

$\rule{300}{1.5}$

Method II -

With the first number ‘1’, continue ahead in the way given :

Multiply the number by 2 and add 1. Take the multiplicand will be the product of the previous multiplication.

⇒ 1 × 2 + 1 = 3

⇒ 3 × 2 + 1 = 7

⇒ 7 × 2 + 1 = 15

⇒ 15 × 2 + 1 = 31

⇒ 31 × 2 + 1 = 63

⇒ 63 × 2 + 1 = 127

Therefore, 63 and 127 is the next number in the series.