Pure 1 course · All short practice · Notes & examples
Maths4U Original · 9709 Pure 1
Check a short answer, use a hint, then study the reasoning. These checks assess the final answer; use the exam-style problems to practise written explanations.
Guest progress stays in this browser. Sign in to save future checked answers to your account.
Recall · M4U-P1-QP-CROSS-TOPIC-REVISION-SEQUENCES-BINOMIAL-01
Maths4U Original · Short practice
An AP has \(u_n=3n+2\). Find the coefficient of \(x\) in \((1+x)^{u_2}\).Enter one number or fraction. Round decimals to at least six decimal places when needed.
Method · M4U-P1-QP-CROSS-TOPIC-REVISION-SEQUENCES-BINOMIAL-02
Maths4U Original · Short practice
A GP begins \(2,6,18,\ldots\). Its third term is \(a\). Find the coefficient of \(x^2\) in \((1+ax)^3\).Enter one number or fraction. Round decimals to at least six decimal places when needed.
Apply · M4U-P1-QP-CROSS-TOPIC-REVISION-SEQUENCES-BINOMIAL-03
Maths4U Original · Short practice
The coefficients of \(1,x,x^2\) in \((1+x)^4\) form a short sequence. Find their sum.Enter one number or fraction. Round decimals to at least six decimal places when needed.
Check understanding · M4U-P1-QP-CROSS-TOPIC-REVISION-SEQUENCES-BINOMIAL-04
Maths4U Original · Short practice
Are the first three coefficients \(1,4,6\) of \((1+x)^4\) an AP or GP?Choose one answer.
Fresh review variant · M4U-P1-QP-VAR-CROSS-TOPIC-REVISION-SEQUENCES-BINOMIAL-01
Maths4U Original · Short practice
An AP has \(u_n=4n+3\). Find the coefficient of x in \((1+x)^{u_2}\).Enter one number or fraction. Round decimals to at least six decimal places when needed.
Fresh review variant · M4U-P1-QP-VAR-CROSS-TOPIC-REVISION-SEQUENCES-BINOMIAL-02
Maths4U Original · Short practice
A GP is \(3,6,12,\ldots\). Let a be its third term. Find the x-squared coefficient in \((1+ax)^4\).Enter one number or fraction. Round decimals to at least six decimal places when needed.
Fresh review variant · M4U-P1-QP-VAR-CROSS-TOPIC-REVISION-SEQUENCES-BINOMIAL-03
Maths4U Original · Short practice
Find the sum of the first three coefficients, in ascending powers, of \((1+x)^5\).Enter one number or fraction. Round decimals to at least six decimal places when needed.
Fresh review variant · M4U-P1-QP-VAR-CROSS-TOPIC-REVISION-SEQUENCES-BINOMIAL-04
Maths4U Original · Short practice
The first coefficients of \((1+x)^5\) are 1,5,10. Find the difference between the third and second coefficients.Enter one number or fraction. Round decimals to at least six decimal places when needed.