In a question:
Find the general term of Un which has U3 = 16 and U8=512
--> I got the answer of Un=4*2^n-1
which is correct,
however,
the answer was this:
Un=4*2^n-1(=2^n+1)
What does (=2^n+1) mean and where did they get it from?
Thank you
In a question:
Find the general term of Un which has U3 = 16 and U8=512
--> I got the answer of Un=4*2^n-1
which is correct,
however,
the answer was this:
Un=4*2^n-1(=2^n+1)
What does (=2^n+1) mean and where did they get it from?
Thank you
Hello, juliak!
Your work is correct . . . but it can be simplified.
Find the general term of $\displaystyle U_n$ where: $\displaystyle U_3 = 16\text{ and }U_8=512$
I got the answer of: .$\displaystyle U_n\:=\:4\cdot2^{n-1}$
however, the answer was this: .$\displaystyle U_n \:=\:2^{n+1}$
We have: .$\displaystyle U_n \:=\:4\cdot2^{n-1} \;=\;2^2\cdot2^{n-1} \;=\;2^{n+1}$
Got it?