Write the decimal as a fraction

Step-by-step explanation:

We require 2 equations with the repeated digits placed after the decimal point.

let x = 0.6262..... (1) Multiply both sides by 100

100x = 62.6262.... (2)

Subtract (1) from (2) thus eliminating the repeated digits

99x = 62 ( divide both sides by 99 )

x =

Then 0.6262... =

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2