give a common ratio for this sequence and identify as growth or decay. give percent of change: 100, 150, 225, 337.5, 506.25
Assuming the ratio doesn't change, you can divide any of the numbers with the previous one to find the ratio.
For example: {nl} \(150/100=1.5\) {nl} {nl} We can test this by applying this value to the other numbers in the sequence:
\(150*1.5=225\) {nl} \(225*1.5=337.5\) {nl} \(337.5*1.5=506.25\)
We have confirmed that the ratio from one number to the next is 1.5 {nl} To find the percentage we multiply a ratio with 100:
\(1.5*100=150\)
The answer is 150 %.
Assuming the ratio doesn't change, you can divide any of the numbers with the previous one to find the ratio.
For example: {nl} \(150/100=1.5\) {nl} {nl} We can test this by applying this value to the other numbers in the sequence:
\(150*1.5=225\) {nl} \(225*1.5=337.5\) {nl} \(337.5*1.5=506.25\)
We have confirmed that the ratio from one number to the next is 1.5 {nl} To find the percentage we multiply a ratio with 100:
\(1.5*100=150\)
The answer is 150 %.