Question

A sequence of numbers begins with 12 and progresses geometrically. Each number is the previous number divided by 2

Which value can be used as the common ration in an explicit formula that represents the sequence

Answer 1

I didn't want to ramble on, but I attached a picture of my work. I hope I help you out in a way. If not message me, I'll be glad to help!

Answer 2

Answer with explanation:

The given geometric series having first term =12 , and common ratio is equal to Half can be written as

`=12 +12 * (1)/(2)+12 * [(1)/(2)]^2+12 * [(1)/(2)]^3+12 * [(1)/(2)]^4+12 * [(1)/(2)]^5+........\\\\\text{Explicit Formula}=12 * [(1)/(2)]^(n-1)`

Using the general formula

`=ar^(n-1)\\\\r=(1)/(2)`