Mathematics
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OpenStudy (bilalkhaliq22):
evaluate 10 sigma n=2 -2n-3? how do you do this
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OpenStudy (astrophysics):
Do the same thing I showed you earlier \[\sum_{n=2}^{10} -2n-3 \implies -2(2)-3+-2(3)-3+...\] start at n = 2 and end at n = 10
OpenStudy (bilalkhaliq22):
what is the + is for after 3?
OpenStudy (astrophysics):
That means the pattern continues, so do it up till 10
OpenStudy (astrophysics):
All you're doing is plugging in the "n's" into the equation
OpenStudy (astrophysics):
and sigma implies to sum it up, so you plug in n = 2 and keep plugging in n's up till 10, and then you add them all up
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OpenStudy (bilalkhaliq22):
Is -135 the correct answer. that what I got when I add them all up
OpenStudy (astrophysics):
Good job!
OpenStudy (bilalkhaliq22):
evaluate 5 \[\sum_{n=1}^{5} 3(-2)^{n-1}\]
OpenStudy (astrophysics):
Same thing as before except now n is a exponent
OpenStudy (astrophysics):
Remember an exponent tells you how many times you multiply by itself and anything to the power of 0 = 1, \[x^0=1\]
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OpenStudy (bilalkhaliq22):
so is it 3(-2)^1-1
3(-2)^2-1
OpenStudy (astrophysics):
yes exactly up to 5
OpenStudy (bilalkhaliq22):
I feel like I did something wrong because i add them up it is equal to -71
OpenStudy (bilalkhaliq22):
my options are
a.−93
b.−33
c.33
d.93
OpenStudy (astrophysics):
\[3(-2)^{1-1} = 3(-2)^0 = 3(1) = 3\]
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OpenStudy (astrophysics):
\[3(-2)^{2-1} = 3(-2)^1 = -6\]
OpenStudy (astrophysics):
\[3(-2)^{3-1} =3(-2)^2 = 3(4)=12\]
OpenStudy (astrophysics):
now do n = 4 and n = 5
OpenStudy (bilalkhaliq22):
\[3(-2)^{4-1} = 3(-2)^{3} =?\]
OpenStudy (bilalkhaliq22):
@Astrophysics
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OpenStudy (bilalkhaliq22):
@Ashleyisakitty
OpenStudy (bilalkhaliq22):
@Agl202
OpenStudy (bilalkhaliq22):
got it thank you very much
OpenStudy (bilalkhaliq22):
\[\sum_{n=3}^{12} 20(0.5)^{n-1}\]