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OpenStudy (iwanttogotostanford):
@welshfella
OpenStudy (welshfella):
an = 4 a^(n-1)
when n = 2
a2 = 4* (-6)*^1 = -24
now work out the third term ( where n = 3)
OpenStudy (iwanttogotostanford):
im not sure
OpenStudy (iwanttogotostanford):
a3=4*(3-1)
OpenStudy (iwanttogotostanford):
I have a lot of these to do could we maybe speed up the process :-)
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OpenStudy (iwanttogotostanford):
@AAbomosalam1998
OpenStudy (welshfella):
hold on
I might have misread the question.....
OpenStudy (iwanttogotostanford):
oh ok, thanks!
OpenStudy (welshfella):
I've assumed that an-1 is a^(n-1) but it doesnt look like that.
Have you a picture of the original problem?
OpenStudy (welshfella):
a1 usually means the first term of the sequence so it should be c or d. but i cant see how its either of these. Sorry.
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OpenStudy (holsteremission):
The recurrence is actually
\[\begin{cases}a_1=-6\\\color{red}{a_n=4a_{n-1}}\end{cases}\]The first term is given to you, so you can eliminate two of the answer choices.
The next is \(a_2=4a_1=4(-6)=-24\).
The next is \(a_3=4a_2=4(-24)=\cdots\)
OpenStudy (welshfella):
Oh right
OpenStudy (iwanttogotostanford):
so it would be: -24, -96, -384, -1536, -6144, -24,576
OpenStudy (iwanttogotostanford):
@welshfella
OpenStudy (welshfella):
No -6 is the first term
its d
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OpenStudy (iwanttogotostanford):
@welshfella please please help
OpenStudy (iwanttogotostanford):
@AAbomosalam1998 @HolsterEmission @mathstudent55 @karim728 please help me