Question

What number should replace x to continue the sequence ?2,6,14,30,26,x​

Answer 1

Question:

What number should replace x to continue the sequence? 2,6,14,30,62,x?

Answer:

`x = 126`

Step-by-step explanation:

Given

`Sequence = 2,6,14,30,62,x`

Required

Replace x with a number

First, we need to understand how the sequence is generated;

`6-2 = 4`

`14 - 6 = 4*2 = 8`

`30 - 14 = 8 * 2 = 16`

`62 - 30 = 16 * 2 = 32`

So, the next sequence x will be generated as:

`x - 62 = 32 * 2`

`x - 62 = 64`

Add 62 to both sides

`x - 62+62 = 64+62`

`x = 64+62`

`x = 126`