Question

The sequence below shows the amount of bacteria that occurs after each hour:4, 12, 36, 108,Which formula can be used to determine the amount of bacteria in the next hour, NEXT, if the number of NOW bacteria is known?

Answer 1

The first term is, 4.

The second term is, 12.

That is,

`12=4*3`

The third term is 36. That is,

`36=12*3`

Similarly forth term 108 can be written as,

`108=36*3`

Therefore, the sequence is,

`4,\text{ 3}*4=12,3*12=36,3*36=108,\ldots`

Therefore, the next term will be, 108 x 3. That is,

`\text{NEXT}=3* NOW`

OPtion a is correct.