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Mathematics 14 Online
OpenStudy (anonymous):

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OpenStudy (maddy1251):

Do you know how to apply Sigma Notation?

OpenStudy (maddy1251):

I am in online schooling, I feel ya haha. One moment for me to explain

OpenStudy (maddy1251):

Anytime.

OpenStudy (maddy1251):

Sn is often called an nth partial sum, since it can represent. the sum of a certain "part" of a sequence. A series can be represented in a compact form, called summation notation, or sigma notation

OpenStudy (maddy1251):

we have n=2 and 10 ontop of sigma. So its the terms 2, 3, 4, 5, 6, 7, 8, 9, 10. And yes.

OpenStudy (anonymous):

compact form of the sum of the sequence**

OpenStudy (maddy1251):

What the equation is beside sigma tells us what we do with n=2 and 10.

OpenStudy (maddy1251):

@CShrix is correct.

OpenStudy (maddy1251):

\[25(0.3)^{n+1} \] tells us how to perform this equation.

OpenStudy (maddy1251):

for n=2, plug in.

OpenStudy (maddy1251):

\[25(0.3)^{2-1}\]

OpenStudy (maddy1251):

a1=7.5

OpenStudy (maddy1251):

Excellent.

OpenStudy (maddy1251):

No for n=3

OpenStudy (maddy1251):

\[25(0.3)^{2}\]

OpenStudy (maddy1251):

a2=2.25

OpenStudy (maddy1251):

a1=7.5, a2=2.25

OpenStudy (maddy1251):

Keep going until n=10, thats all the more sigma says to go.

OpenStudy (maddy1251):

Oh I was subtracting the exponent, not adding. MY BAD. 3.25 + 1.675 + 1.2025 + 1.06075 + 1.018225 + 1.0054675 + 1.00164025 + 1.000492075 + 1.0001476225

OpenStudy (maddy1251):

Silly me, glad I looked over. Here are your sums.

OpenStudy (maddy1251):

It equals 12.2142224475

OpenStudy (maddy1251):

Does it want you to evaluate the entire sigma or a certain n?

OpenStudy (maddy1251):

Lol okay. One minute

OpenStudy (maddy1251):

Oh okay.

OpenStudy (maddy1251):

385 for what?

OpenStudy (maddy1251):

Oh no its okay. Our first term is 0.675, second term is 0.2025. I believe the third is 0.6075. That right there sums up to 1.485. So, I think we can infer what the answer may be.

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