SOLUTION: Tanya forms her sequence by starting with the number 2 and adding 3 continuously. She gets the following 2,5,8,11,14 and so on. Joe forms his sequence by starting with the number N

Click here to see ALL problems on Sequences-and-series

Question 1122847: Tanya forms her sequence by starting with the number 2 and adding 3 continuously. She gets the following 2,5,8,11,14 and so on. Joe forms his sequence by starting with the number N(not 2) and adding the number D(not 3) continuously. His second number is 9 and his fifth number is 21. What is his 1000th number

Found 2 solutions by greenestamps, ikleyn:
Answer by greenestamps(13200)   (Show Source):
You can put this solution on YOUR website!

The 5th term is the second term, plus the common difference 3 times.

Solve the equation to determine the common difference d.

The 1000th term is th 5th term, plus the common difference 995 times.

21 + 995d = ??

Answer by ikleyn(52794)   (Show Source):
You can put this solution on YOUR website!
.
Your question and your problem relate to Arithmetic sequences/progressions, although you do not use this term.

For introductory lessons on arithmetic progressions see the lessons
    - Arithmetic progressions
    - The proofs of the formulas for arithmetic progressions
    - Problems on arithmetic progressions
    - Word problems on arithmetic progressions
in this site.

Also, you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic "Arithmetic progressions".

Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.