Maths4U Original · Short practice

Define \(S_n=\sum_{r=1}^n(14r+13)\) for positive integers n.

Find the sum from \(\displaystyle r=1\) to \(\displaystyle r=15\) of 14r+13.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Maths4U Original · Short practice

Define \(S_n=\sum_{r=1}^n(15r+14)\) for positive integers n.

Find the sum from \(\displaystyle r=1\) to \(\displaystyle r=16\) of 15r+14.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Maths4U Original · Short practice

Define \(S_n=\sum_{r=1}^n(15r+14)\) for positive integers n.

Find the term added when extending \(\displaystyle S_{16}\) to \(\displaystyle S_{17}\).

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Maths4U Original · Short practice

Define \(S_n=\sum_{r=1}^n(16r+15)\) for positive integers n.

Find the term added when extending \(\displaystyle S_{17}\) to \(\displaystyle S_{18}\).

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Maths4U Original · Short practice

\(u_1=15,\ u_{n+1}=4u_n+16\) for \(\displaystyle n\ge 1\).

Find \(\displaystyle u_{7}\).

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Maths4U Original · Short practice

\(u_1=16,\ u_{n+1}=2u_n+17\) for \(\displaystyle n\ge 1\).

Find \(\displaystyle u_{5}\).

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Maths4U Original · Short practice

\(u_1=16,\ u_{n+1}=2u_n+17\) for \(\displaystyle n\ge 1\).

Find \(\displaystyle u_{5}-u_{4}\).

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

Maths4U Original · Short practice

\(u_1=17,\ u_{n+1}=3u_n+18\) for \(\displaystyle n\ge 1\).

Find \(\displaystyle u_{6}-u_{5}\).

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.