Maths4U Original · Short practice

A sequence starts 4, 10, 16, 22. It has a constant first difference and is indexed from \(\displaystyle n=1\).

Find the next term.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A sequence starts 5, 12, 19, 26. It has a constant first difference and is indexed from \(\displaystyle n=1\).

Find the next term.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A sequence starts 5, 12, 19, 26. It has a constant first difference and is indexed from \(\displaystyle n=1\).

Find the term with index \(\displaystyle n=13\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A sequence starts 6, 8, 10, 12. It has a constant first difference and is indexed from \(\displaystyle n=1\).

Find the term with index \(\displaystyle n=14\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A sequence starts 6, 8, 10, 12. It has a constant first difference and is indexed from \(\displaystyle n=1\).

Write \(\displaystyle T_{n}=An+B\). Find A.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A sequence starts 7, 10, 13, 16. It has a constant first difference and is indexed from \(\displaystyle n=1\).

Write \(\displaystyle T_{n}=An+B\). Find A.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A sequence starts 7, 10, 13, 16. It has a constant first difference and is indexed from \(\displaystyle n=1\).

Write \(\displaystyle T_{n}=An+B\). Find B.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

A sequence starts 3, 5, 7, 9. It has a constant first difference and is indexed from \(\displaystyle n=1\).

Write \(\displaystyle T_{n}=An+B\). Find B.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

The sequence 13, 25, 45, 73 has the form \(T_n=An^{2}+B\) with \(\displaystyle n=1,2,3\),… and A>0.

Find the next term.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

The sequence 3, 10, 29, 66 has the form \(T_n=An^{3}+B\) with \(\displaystyle n=1,2,3\),… and A>0.

Find the next term.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

The sequence 3, 10, 29, 66 has the form \(T_n=An^{3}+B\) with \(\displaystyle n=1,2,3\),… and A>0.

Write \(\displaystyle T_{n}=An^3+B\). Find A.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

The sequence 5, 11, 21, 35 has the form \(T_n=An^{2}+B\) with \(\displaystyle n=1,2,3\),… and A>0.

Write \(\displaystyle T_{n}=An^2+B\). Find A.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

The sequence 5, 11, 21, 35 has the form \(T_n=An^{2}+B\) with \(\displaystyle n=1,2,3\),… and A>0.

Write \(\displaystyle T_{n}=An^2+B\). Find B.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

The sequence 7, 28, 85, 196 has the form \(T_n=An^{3}+B\) with \(\displaystyle n=1,2,3\),… and A>0.

Write \(\displaystyle T_{n}=An^3+B\). Find B.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

The sequence 7, 28, 85, 196 has the form \(T_n=An^{3}+B\) with \(\displaystyle n=1,2,3\),… and A>0.

Find T at \(\displaystyle n=6\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

The sequence 9, 21, 41, 69 has the form \(T_n=An^{2}+B\) with \(\displaystyle n=1,2,3\),… and A>0.

Find T at \(\displaystyle n=7\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

The sequence 5, 10, 20, 40 has a constant positive multiplicative ratio and begins at \(\displaystyle n=1\).

Find the common multiplier.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

The sequence 6, 18, 54, 162 has a constant positive multiplicative ratio and begins at \(\displaystyle n=1\).

Find the common multiplier.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

The sequence 6, 18, 54, 162 has a constant positive multiplicative ratio and begins at \(\displaystyle n=1\).

Find the first-term coefficient a in \(\displaystyle T_{n}\)=arⁿ⁻¹.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

The sequence 2, 8, 32, 128 has a constant positive multiplicative ratio and begins at \(\displaystyle n=1\).

Find the first-term coefficient a in \(\displaystyle T_{n}\)=arⁿ⁻¹.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

The sequence 2, 8, 32, 128 has a constant positive multiplicative ratio and begins at \(\displaystyle n=1\).

Find the term at \(\displaystyle n=7\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

The sequence 3, 6, 12, 24 has a constant positive multiplicative ratio and begins at \(\displaystyle n=1\).

Find the term at \(\displaystyle n=8\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

The sequence 3, 6, 12, 24 has a constant positive multiplicative ratio and begins at \(\displaystyle n=1\).

Find the next term after the four listed terms.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

Maths4U Original · Short practice

The sequence 4, 12, 36, 108 has a constant positive multiplicative ratio and begins at \(\displaystyle n=1\).

Find the next term after the four listed terms.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.