Question

HELP ME PLEASE!!!
Write an explicit formula for the following sequence.

1/2, 1/4, 1/6, 1/8, 1/10. . .

Find the twentieth term.

Answer 1

the \(\color{red}{1}\)st term: \(\dfrac{1}{2*\color{red}{1}}\)
the \(\color{blue}{2}\)nd term: \(\dfrac{1}{2*\color{blue}{2}}\)
the \(\color{green}{3}\)rd term: \(\dfrac{1}{2*\color{green}{3}}\)
then \(\color{red}{4}\)st term: \(\dfrac{1}{2*\color{red}{4}}\)
can you write down the 20th term?

Answer 2

*4th

Answer 3

So it would be 1/40? But how do I put it in explicit form?

Answer 4

Like the formula is \[a_{n}=a_{1}+d(n-1)\] I just do not know where to put the numbers asub1 would be the first sequence, d is the common difference and n is 20

Answer 5

just replace the number by letter n
that is \(a_n= \dfrac{1}{2n}\)

Answer 6

Ohhh okay i understand now!! I just had to look for the twentieth term and not the equation for it. I just got confused. THANK YOU SO MUCH!!