DP Mathematics: Applications and Interpretation Questionbank

Find the common ratio in terms of $a$.

Find the values of $a$ for which the sum to infinity of the series exists.

Find the value of $a$ when $S_{\infty }=76$.

Find how high the balloon will travel in the first $10$ minutes after it is launched.

The balloon is required to reach a height of at least $2520$ metres.

Determine whether it will reach this height.

Suggest a limitation of the given model.

The sum of an infinite geometric sequence is $9$.

The first term is $4$ more than the second term.

Find the third term. Justify your answer.

Find the common ratio of this sequence.

Find the sum to infinity of this sequence.