1. What does this mean?

Okay,
On my math problem, there's a sign that looks like a big E, with a little six above it, and n=0 below it. Right by that sign, there is 3(-4)n , with the "n" as a superscript. What does that mean, and how do I solve it? Sorry if this doesn't make sense, I'm rather confused myself... Also, I have the answer : 9831
if that helps anyone. Thank you.

2. Hello, Averee!

Question: Why are you doing summation problems when you know nothing about them?

. 6
.
3(-4)^n
n=0

It means: evaluate the expression for n = 0,1,2,3,4,5,6 . . . and add.

We have: .3(-4)^0 + 3(-4)^1 + 3(-4)^2 + 3(-4)^3 + 3(-4)^4 + 3(-4)^5 + 3(-4)^6

. . . . . = . 3(1) + 3(-4) + 3(16) + 3(-64) + 3(256) + 3(-1024) + 3(4096)

. . . . . = . 3 - 12 + 48 - 192 + 768 - 3072 + 12,288

. . . . . = . 9831

3. Haha, thank you Soroban. That makes sense. To answer your question, it is a problem on a practice test our teacher gave us - and it's pretty hard to search for an answer on the internet when you have no idea what it is. I'm glad you understood though. Thanks again.