Question

Please help me out with these two questions, I am stuck...

(x + 2)^4 = x^4 + 8x^3 +... Use the Binomial Theorem to complete the binomial expansion.


Enter only the next three terms; use the ^ key for exponents, example: 10x^2+20x+30.

This is what I have and I'm confused how I got to this, I don't think it is the right answer though? x^4+8x^3+32x+16


And this question also....

Find the first 5 terms of the sequence: an = n^2 – 2n. Enter your answers separated by commas; example: 1, -5, 10, -15, 20.

Answer 1

I can't figure this out either, could someone explain how to do this or help me out with it?

Fill in the blank for the explicit rule that produces this series.


8, 13, 18, 23, 28, ...


an = _____n + 3


Type your answer as an integer, like this: 14

Answer 2

okay for the 1st one
check your 3rd term once again :)

Answer 3

+16??? I'm not sure what it is instead

Answer 4

okay we need to look at this-

when you open the bracket and expand the expression you get something like this-

\((x+y)^n= ~^nC_1(x)^{n-1}(y)^1 +~^nC_{2}(x)^{n-2}(y)^2+......+~^nC_n(x)^{n-n}(y)^n\)

so in general we can write the \(m^{th}\) term like this-

\(T_m = ~^nC_m(x)^{n-m}(y)^m\)

now you know \(x\) ,\(y\) and \(n\)
and you need to find 1st, 2nd, 3rd and 4th terms
so you can use this formula to get them

Answer 5

O___O ...... im so confused im sorry........

Answer 6

alright :)
can you tell your approach to the problem?

Answer 7

well when I got my first answer someone was walking me through the problem x__x and now I dont have their help to review how we did it before

Answer 8

Here is a link that maybe helpful.
http://www.mathsisfun.com/algebra/binomial-theorem.html