Question

Sigma Notation Word Problem.

Answer 1

http://i.gyazo.com/c2b996b112e687d97172d5e6c039496f.png

Answer 2

@Vallarylynn16

Answer 3

In which answer choice, is the "slope " 2, and when i=1 then the first jump is 6 ?

Answer 4

By slope I mean the coefficient of i

Answer 5

Why slope (rate of growth) 2? because she jumps +2 more each next time.

Answer 6

I am not sure because I still don't fully understand these. Would it be possible for you to give me the answer with an explanation for next time?

Answer 7

@SolomonZelman @Yttrium

Answer 8

I am not getting why in each choice, below the sigma, does it say i=2, when it should be i=1 ?

Answer 9

No, it's supposed to be i=2 in this equation, apparently.

Answer 10

@SolomonZelman

Answer 11

Yttrium, do you have an idea on this?

Answer 12

First of all, the former question denotes to give a derived equation from i = 4 to i = 12

Answer 13

I just didn't get the first choices.

Answer 14

In i = 1. We must have a value of 6. if i = 2, 8. if i = 3, 10 and so on.
So we can see that it is a geometric progression having r = 2.
So from that we can derive an equation which is 2i. But since our first term started at 6. We need to add 4.

Hence, the derived equation is \[\sum (2i + 4)\]

Answer 15

@Yttrium What about the top/bottom of the sigma and the jumps?

Answer 16

depends upon the question. the question tells that derive an equation from 4tn to 12th, so it should be (4,12) and for the next q is (2,10).
Just evaluate the summation to arrive at an answer.

Answer 17

I don't understand this stuff though, seriously. I need help on this question, it's the first of this type that I've done ;_;

Answer 18

Do you know integrals?

Answer 19

If I did, I forget it.

Answer 20

NEVERMIND! Found my way to 144 Jumps and it's correct. :D

Answer 21

he question tells that derive an equation from 4tn to 12th, so it should be (4,12)
the equation will look like this
\[\sum_{4}^{12} (2i+4)\]