Question

Expand the series and Evaluate:

Answer 1

Enter your answer as the example: 1+2+3+4+5=15

Answer 2

I got 225 as an answer but I need the numbers that add up to it

Answer 3

you know to evaluate it, yes? just state the terms it adds up to.
e.g., evaluate it for k=1.
then k=2.
k=3
so on to k=5. then, add them all together but don't simplify to the final product

Answer 4

No I have no idea how to evaluate it

Answer 5

n^2(n+1)^2 /4

Answer 6

so for n=5, 25*36 / 4 =225

Answer 7

What?? I have no idea what I'm doing

Answer 8

theres a formula for sums of cubes until the nth term.
n^2(n+1)^2 /4
use it with k=5
or develop like :
1^3+2^3+3^3+4^3+5^3

Answer 9

I don't understand what do I do with k=5?

Answer 10

Holy pellet please help me

Answer 11

just plug it in the formula and you get the answer. or expand the series as I said

Answer 12

WHAT AM I SUPPOSED TO PLUG IN THIS LOOKS LIKE GIBBERISH

Answer 13

flutter

Answer 14

I got 1+9+36+100+225 but its wrong

Answer 15

\( \displaystyle \sum_{k=1}^{5} k^3 \)
Expanding this out just means we evaluate the summand k^3 for each k value between 1 and 5, and add them all up.
For k = 1, k^3 = 1^3 = 1
For k =2, k^3 = 2^3 = 8 <-- this is cube and not square.
For k =3, k^3 = 3^3. Calculate this as well.
Doing the same process for k=4, and 5.
The sum expanded out is thus:
\( \displaystyle \sum_{k=1}^{5} k^3 = 1^3 + 2^3 + 3^3 + \cdots \)

Answer 16

The result is what that expanded form evaluates into after adding the numbers, which does come out to 225.

Answer 17

Ok I know the answer is 225 I need the numbers that it adds up to

Answer 18

You know k^3 means k * k * k ? Like, 3^3 = 3 * 3 * 3 = 27 ?

Answer 19

So its 1^2+2^2+3^3+4^2+5^5? ITS WRONG

Answer 20

1^3+2^3+3^3+4^3+5^3=225 is wrong

Answer 21

It is the same exponent for all of them. 1^3, 2^3, 3^3, 4^3, and 5^3. This is from k^3.
\( \displaystyle \sum_{k=1}^{5} k^3 = \underbrace{1^3}_{k=1} + \underbrace{2^3}_{k=2} + \underbrace{3^3}_{k=3} + \underbrace{4^3}_{k=4} + \underbrace{5^3}_{k=5} \)

But did you evaluate each one for the actual number for each? Not 1^3, but 1. Not 2^3, but 8. etc.

Answer 22

I got 1+8+27+64+125=225 and its right
thank you for being patient with me

Answer 23

No worries. Glad to help. :)