Question

Isaak is writing an explicit formula to represent the sequence.

64, 112, 196, 343, ...

What value should he use as the common ratio in the formula? Write the answer as a decimal rounded to the nearest hundredth.

Answer 1

112/64=1.75
196/112=1.75
343/196=1.75

common ratio is 1.75

Answer 2

1.75

Explanation:

A geometric progression or sequence is a series of numbers with a special property where the ratio between each consecutive number is the same. This number is called the common ratio.

We can test whether the sequence is geometric by dividing consecutive numbers as follows:

`(112)/(64) = 1.75`

`(196)/(112) = 1.75`

`(343)/(196) = 1.75`

So we can see that the common ratio is 1.75.