tmua 2021 Q16

tmua · Uk · paper1 1 marks Binomial Theorem (positive integer n) Determine Parameters from Conditions on Coefficients or Terms

Consider the expansion of
$$( a + b x ) ^ { n }$$
The third term, in ascending powers of $x$, is $105 x ^ { 2 }$ The fourth term, in ascending powers of $x$, is $210 x ^ { 3 }$ The fourth term, in descending powers of $x$, is $210 x ^ { 3 }$ Find the value of $\frac { a } { b } ^ { 2 }$
A $\frac { 1 } { 4 }$
B $\frac { 4 } { 9 }$
C $\frac { 25 } { 36 }$
D $\frac { 5 } { 6 }$
E 1

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Consider the expansion of

$$( a + b x ) ^ { n }$$

The third term, in ascending powers of $x$, is $105 x ^ { 2 }$
The fourth term, in ascending powers of $x$, is $210 x ^ { 3 }$
The fourth term, in descending powers of $x$, is $210 x ^ { 3 }$
Find the value of $\frac { a } { b } ^ { 2 }$

A $\frac { 1 } { 4 }$

B $\frac { 4 } { 9 }$

C $\frac { 25 } { 36 }$

D $\frac { 5 } { 6 }$

E 1

Paper Questions

Q1 Q2 Q3 Q4 Q5 Q6 Q7 Q8 Q9 Q10 Q11 Q12 Q13 Q14 Q15 Q16 Q17 Q18 Q19 Q20