What is the 7th term of the geometric sequence –1, 3, –9, …?
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OpenStudy (anonymous):
what are we multiplying each term by to get the next term?
OpenStudy (anonymous):
nothing it doesn't say?
OpenStudy (anonymous):
I'm asking you. What times -1 equals 3?
OpenStudy (anonymous):
3?
OpenStudy (anonymous):
Not quite, but your close .... -1 times 3 equals -3. What times -1 equals +3?
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OpenStudy (anonymous):
-3 times-1
OpenStudy (anonymous):
right, so you multiply by -3 each time to get the next term.
The first 3 terms are -1, 3, -9. What's the next?
OpenStudy (anonymous):
each term is being multiplied by
\[-3\] to get the next term. so you need
\[-1(-3)^6\] to get the 7th terms
OpenStudy (anonymous):
my options are -2187,729,2187,-729
OpenStudy (anonymous):
you multiply by -3 to get each term. the 3rd term is -9. so what's the 4th term?
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OpenStudy (anonymous):
2187?
OpenStudy (anonymous):
what's -9 times -3?
OpenStudy (anonymous):
27
OpenStudy (anonymous):
ok so that's the 4th term. what's the 5th term?
OpenStudy (anonymous):
36
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OpenStudy (anonymous):
how do you get 36?
OpenStudy (anonymous):
hello?
OpenStudy (anonymous):
omg i dont know your confusing
OpenStudy (anonymous):
It's pretty simple. Let me explain. The first term is -1. For every term after that, you multiply by -3. So
First term: -1
Second term: -1 * -3 = 3
Third term: 3 * -3 = -9
Fourth term: -9 * -3 = 27
Do you see the pattern? You're just multiplying by -3 each time. so what's the 5th term?
OpenStudy (anonymous):
idk
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OpenStudy (anonymous):
To get the 5th term, you multiply the 4th term by -3. What is it?
OpenStudy (anonymous):
Hello?
OpenStudy (anonymous):
81
OpenStudy (anonymous):
Almost, that's 27 * 3. You forgot the negative sign.
OpenStudy (anonymous):
So the fifth term is -81, not 81. What's the next (6th) term?
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OpenStudy (anonymous):
729
OpenStudy (anonymous):
thanks u
OpenStudy (anonymous):
No
OpenStudy (anonymous):
That's not right
OpenStudy (anonymous):
for the 7th term? omg i give up nvm
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OpenStudy (anonymous):
what's -81 times -3?
OpenStudy (anonymous):
haha never mind, if you are giving up then i'll give up too
OpenStudy (anonymous):
k
OpenStudy (anonymous):
hello!? Can ktklown please explain this!? I need help with this and Im confused too!