Question

Find the ratio of successive terms. Write your answer as a fully simplified fraction.

the ratio successive term for 2^(n)/(2n)!

is (2)/(2n+1) RIGHT?

Answer 1

No, that's not correct,

$$ \large \frac{2^n} {2n!} =\frac{2^n} {1.3.5.7 \cdots (2n-1) \times 2.4.6.8. \cdots 2n} $$ factor out 2^n from both numerator and denominator.. you will have you answer.

Answer 2

1. 2/2 =1
2. 4/(2(1*2))=4/4=1
3. 8/(2(1*2*3))=8/12 =2/3
4 .......