SOLUTION: Write an explicit and recursive formula for the sequence 4, 7, 10 …

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Question 1086935: Write an explicit and recursive formula for the sequence 4, 7, 10 …
Found 2 solutions by ikleyn, Fombitz:
Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
Arithmetic progression with the first term of 4 and the common difference of 3.



Explicit formula:  a%5Bn%5D = a%5B1%5D%2B%28n-1%29%2Ad = 4 + 3*(n-1) = 1 + 3n,  n = 1, 2, 3, . . . 


Recursive formula:  a%5B1%5D = 4,  a%5Bn%2B1%5D = a%5Bn%5D%2B3,  n = 1, 2, 3, . . . 


There is a bunch of lessons on arithmetic progressions in this site:
    - Arithmetic progressions
    - The proofs of the formulas for arithmetic progressions
    - Problems on arithmetic progressions
    - Word problems on arithmetic progressions
    - Mathematical induction and arithmetic progressions
    - One characteristic property of arithmetic progressions
    - Solved problems on arithmetic progressions


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".



Answer by Fombitz(32388) About Me  (Show Source):