Question

Series

Answer 1

\[y_1(x)=4+\frac{4}{8}x^2+\frac{4}{4\cdot 4\cdot 3}x^4+\frac{24 \cdot 4}{4\cdot 4\cdot 3\cdot 5\cdot6}x^6\]
i have to write the sigma notation of ^the series

Answer 2

Tagging doesnt work in the question... Remind me to fix that

Answer 3

they are not online so doesn't matter lol

Answer 4

Yea but if the haven't disabled notifications they would receive a email lol

Answer 5

@Vocaloid Help Help Help pleaseeeee D:

Answer 6

I'm not sure, I believe if you start n at 0 you can write the x part as x^2n but I'm uncertain about the coefficients @hero

Answer 7

yeah i'm also confused about the numbers.

Answer 8

\[=\large\rm \frac{4}{1!}+\frac{4}{4\cdot 2!} x^2+\frac{4}{4 \cdot 2 \cdot 3!}x^4+\frac{ 24 \cdot4 }{ 4!\cdot 2\cdot 6\cdot 5}x^6\]

Answer 9

Thanks for the update. The original post was not making any sense at all.

Answer 10

It's same as the top post.

Answer 11

The top post does not have factorials

Answer 12

We can't write this as sigma notation, so good thing i don't have to simplify anymore..

Answer 13

yeah I've simplified to see the pattern but didn't work out.

Answer 14

What did you simplify it to?

Answer 15

the 2nd one.

Answer 16

You can simplify it even further than that

Answer 17

do you mean reducing fractions? yeah but i meant to say that i don't have to see the pattern. I just need the terms as final solution.

Answer 18

Yes, reducing the fractions.

Answer 19

i'll definitely do that :=))

Answer 20

Post your result

Answer 21

result ?

Answer 22

Yes, post the expression you get after reducing the fractions.

Answer 23

lol ok sir

Answer 24

\[y(x)= 4+2x^2+12x^4+\frac{2}{90}x^6\]

Answer 25

I got completely different coefficients

Answer 26

sorry 1/45

Answer 27

Even still

Answer 28

show me your work.

Answer 29

\(\dfrac{4}{4 \cdot 2!} = \dfrac{4}{4 \cdot2\cdot1} = \dfrac{4}{4} \times \dfrac{1}{2 \cdot 1}\)

Answer 30

For example

Answer 31

\[\frac{ 2\cancel{4} \cdot \cancel{ 4 }}{ \cancel{4} \cdot cancel{4} \cdot 3\cdot 5\cdot 6 }\]

Answer 32

Why'd you skip the first one?

Answer 33

\[\frac{ 2\cancel{4} \cdot \cancel{4} }{ \cancel{4} \cdot \cancel{4} \cdot 3 \cdot 5 \cdot 6 }\]

Answer 34

bec you're going to do it for me. thank you

Answer 35

Yep, and you can still simplify even further.

Answer 36

You should get fractional coefficients for all but the first term.

Answer 37

\[\frac{ 2\cancel{4 }\cdot \cancel{4} }{\cancel{ 4} \cdot \cancel{4} \cdot 3 \cdot 5 \cdot 6 }= \frac{2}{90}=\frac{1}{45}\]

Answer 38

Which term is that? You have to start from the beginning. I don't know which term that is.

Answer 39

last one

Answer 40

i start from right

Answer 41

\[\frac{ 2\cancel{4 }\cdot \cancel{4} }{\cancel{ 4} \cdot \cancel{4} \cdot 3 \cdot 5 \cdot \color{Red}{\cancel{6}} }x^\color{Red}{\cancel{6}}= =\frac{2}{15}\]

Answer 42

found a mistake sorry

Answer 43

Of course you did.

Answer 44

I don't feel like typing it all out to be honest.

Answer 45

same

Answer 46

just give me the answer

Answer 47

Hang on

Answer 48

that's wrong ?? :o

Answer 49

Where's the SIX in the numerator. Remember, originally, you had 24 * 4 in the numerator, right?

Answer 50

yes 24 since 4 and 4 are the same so 4 cancels out

Answer 51

And how are you cancelling the \(x^6\) term?

Answer 52

Your work as currently constructed makes no sense.

Answer 53

since 6 and 6 are alike, 6 cancels out

Answer 54

You're cancelling exponents with coefficients. That doesn't make any sense.

Answer 55

ohh i can't do that ??? hmm sorry

Answer 56

NO, you definitely cannot do that.

Answer 57

ohh okay don't yell at me still learning

Answer 58

As far as I know, that is correct.

Answer 59

Unless your 24 isn't 24.

Answer 60

Is 24 supposed to be TWENTY-FOUR? Or is it supposed to be 2 times 4?

Answer 61

Is 24 supposed to be TWENTY-FOUR? Or is it supposed to be 2 times 4?

Answer 62

yeah 24 is 24 or it can 42 right
since ab=ba

Answer 63

Because you have it written as TWENTY-FOUR not 2 times 4. Do you understand what I'm saying?

Answer 64

yes sir

Answer 65

If I interpret what you have written literally. \(24\) as you have written \(/ne\ 2 \times 4\) Do you understand?

Answer 66

I'm gonna give up if you don't comprehend that you wrote 24 and not \(2 \times 4\)

Answer 67

it's too wenty for

Answer 68

i have to go thanks hero!!

Answer 69

smh

Answer 70

Good luck. You seem to confuse numbers at certain points. You have to work on that.

Answer 71

lol

Answer 72

i can't believe what i ended up doing

Answer 73

@Nnesha perhaps try posting the problem from the original source itself.