SOLUTION: write the explicit form for the following sequences: 1. 9, 16, 23,30..... 2. 1, 3, 6, 8, 11.... 3. 68, 57, 46, 35....

Algebra ->  Sequences-and-series -> SOLUTION: write the explicit form for the following sequences: 1. 9, 16, 23,30..... 2. 1, 3, 6, 8, 11.... 3. 68, 57, 46, 35....      Log On


   



Question 934800: write the explicit form for the following sequences:
1. 9, 16, 23,30.....
2. 1, 3, 6, 8, 11....
3. 68, 57, 46, 35....

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
# 1

We're adding 7 each time. So d = 7
The first term is 9, so a%5B1%5D+=+9
This is an arithmetic sequence

a%5Bn%5D+=+a%5B1%5D%2Bd%28n-1%29

a%5Bn%5D+=+9%2B7%28n-1%29

a%5Bn%5D+=+9%2B7n-7

a%5Bn%5D+=+7n%2B2

-------------------------------------------------------

# 2

I'm not sure what the rule is here. So repost this question separately so others may see it and help you out.

The rule may be: add 2, add 3, add 2, add 3, ...

but that rule may be wrong.

-------------------------------------------------------
# 3

We subtract 11 each time, so d = -11
First term: a%5B1%5D+=+68
This is an arithmetic sequence


a%5Bn%5D+=+a%5B1%5D%2Bd%28n-1%29

a%5Bn%5D+=+68%2B%28-11%29%28n-1%29

a%5Bn%5D+=+68-11n%2B11

a%5Bn%5D+=+-11n%2B79
------------------------------------------------------------------------------------------------------------------------

If you need more one-on-one help, email me at jim_thompson5910@hotmail.com. You can ask me a few more questions for free, but afterwards, I would charge you ($2 a problem to have steps shown or $1 a problem for answer only).

Alternatively, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Any amount is greatly appreciated as it helps me a lot. This donation is to support free tutoring. Thank you.

Jim
------------------------------------------------------------------------------------------------------------------------