Question

Calculate the first four terms of the sequence An = n + (n+1) + (n+2) + ... + (6n) , starting with n=1.

Answer 1

The answer I believe is 12.

Answer 2

thats not the correct answer, nice try though.

Answer 3

The answer is 21 , 77 ,168,294. But how?

Answer 4

I dont think i understand the question at all.

Answer 5

Got a different sequence for it

Answer 6

is that a question?

Answer 7

Try an = 7/2(5n^2+n)

Answer 8

What do you mean?

Answer 9

I just dont understand the question

Answer 10

And how to approach it

Answer 11

iambatman are you here?

Answer 12

You start with what the sequence is, like 1 and add up to 6 times of the sequence

Answer 13

so 1+2+3+4+5+6

Answer 14

then 2+3+4+5+6+7+8+9+10+11+12

Answer 15

and the third sequence is 3+4+5+6+7+8+9+10+11+12

Answer 16

pretty dumb question

Answer 17

But is that the correct way to do it?

Answer 18

Hey sorry, I got lost connection, and yes, that's one way, very tedious though, but remember for the third term, it's all the way up to 18

Answer 19

yeah

Answer 20

That's why I put the sequence above

Answer 21

so what would be the correct way??

Answer 22

oh

Answer 23

Try plugging in your numbers

Answer 24

and see if that works

Answer 25

how am i supposed to figure that out on the test?

Answer 26

Mhm haha, well that takes practice...I guess you might just have to do it the tedious way :\

Answer 27

And see if you can find your own patterns

Answer 28

i am learning about series right now in calc 2

Answer 29

OOOOH

Answer 30

i dont think this is even the meat of the problem

Answer 31

Ok, so this is calc 2?

Answer 32

yah

Answer 33

Ah ok, don't worry about it too much, you will learn many methods, to deal with such things

Answer 34

Can i ask you another question?

Answer 35

This is just kind of testing you and seeing if you can figure it out, your way works

Answer 36

\[\lim_{n \rightarrow \infty } a _{n}^{3}\]

Answer 37

what does that even mean?

Answer 38

an represents the nth term

Answer 39

oh its just a_n^3

Answer 40

so if you have a thats the first term, a2 is the second term...etc

Answer 41

i got it , thanks :D

Answer 42

a1*

Answer 43

Cool :)

Answer 44

If you have the calc textbook, I suggest you read up on sequences, it will help you wayyyy more

Answer 45

Because sequences aren't really intuitive, well for me at least and the way I was taught

Answer 46

thanks for the advice, will do.

Answer 47

Just wondering, what textbook are you using? Stewart 7e?

Answer 48

I am using this thing called launchpad

Answer 49

and the book is called Calc Early Transcendentals second edition by Jon Rogawski

Answer 50

Ah ok, well this site is amazing for anything calc based http://tutorial.math.lamar.edu/Classes/CalcII/Sequences.aspx check it out, it will help you tons

Answer 51

Thanks

Answer 52

Np :), good luck friend!