SOLUTION: find the nth term for the sequence 7,10,13,16

Algebra ->  Sequences-and-series -> SOLUTION: find the nth term for the sequence 7,10,13,16      Log On


   

Question 1085157: find the nth term for the sequence 7,10,13,16
Found 3 solutions by math_helper, ikleyn, MathTherapy:
Answer by math_helper(2461) About Me  (Show Source):
Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
.
a%5B1%5D = 7;

a%5B2%5D = 10;

a%5B3%5D = 13;

a%5B4%5D = 16.

Arithmetic progression with the first term 7 and common difference 3.

a%5Bn%5D = 7 + (n-1)*3 = 4 + 3n,  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 MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

find the nth term for the sequence 7,10,13,16
a%5Bn%5D+=+a%5B1%5D+%2B+%28n+-+1%29d

a%5Bn%5D+=+7+%2B+%28n+-+1%293 ------ Substituting 7 for a%5B1%5D, and 3 for d

a%5Bn%5D+=+7+%2B+3n+-+3

highlight_green%28a%5Bn%5D+=+3n+%2B+4%29

IGNORE all other WRONG answers.