In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable.

The concentrations of two enzymes, Enzyme A and Enzyme B, are being monitored in a laboratory bioreactor. Initially, there are 800 units of Enzyme A.

A model predicts that the quantity of Enzyme A will increase by 6% each hour, so that the number of units of Enzyme A at the end of each hour forms a geometric sequence.

Find, according to the model, the number of units of Enzyme A in the bioreactor 12 hours after monitoring began. Give your answer to 3 significant figures.

The quantity of Enzyme B is being monitored over the same period. Given that:

2 hours after monitoring began there were 3200 units of Enzyme B
5 hours after monitoring began there were 2400 units of Enzyme B
the quantity of Enzyme B at the end of each hour is modelled as a geometric sequence

Find the equation of this model in the form

N = ab^t

where $N$ is the number of units of Enzyme B, $t$ hours after monitoring began, and $a$ and $b$ are constants. Give the value of $a$ and the value of $b$ to 2 significant figures.

When $t = T$ , the quantity of Enzyme A is equal to the quantity of Enzyme B.

Find, according to the models, the value of $T$ , giving your answer to one decimal place.

In this question you must show all stages of your working. Solutions relying entirely on calculator technology are not acceptable.

The concentrations of two enzymes, Enzyme A and Enzyme B, are being monitored in a laboratory bioreactor. Initially, there are 800 units of Enzyme A.

A model predicts that the quantity of Enzyme A will increase by 6% each hour, so that the number of units of Enzyme A at the end of each hour forms a geometric sequence.

Find, according to the model, the number of units of Enzyme A in the bioreactor 12 hours after monitoring began. Give your answer to 3 significant figures.

The quantity of Enzyme B is being monitored over the same period. Given that:

2 hours after monitoring began there were 3200 units of Enzyme B
5 hours after monitoring began there were 2400 units of Enzyme B
the quantity of Enzyme B at the end of each hour is modelled as a geometric sequence

Find the equation of this model in the form

N = ab^t

where $N$ is the number of units of Enzyme B, $t$ hours after monitoring began, and $a$ and $b$ are constants. Give the value of $a$ and the value of $b$ to 2 significant figures.

When $t = T$ , the quantity of Enzyme A is equal to the quantity of Enzyme B.

Find, according to the models, the value of $T$ , giving your answer to one decimal place.

3.4 Geometric Series

Question 14

Markscheme

3.4 Geometric Series

Question 14

Markscheme

3.4 Geometric Series

Question 14

3.4 Geometric Series Questions

3.4 Geometric Series

Question 14

3.4 Geometric Series Questions