SOLUTION: write amn explicit formula for the following infinite sequence 14,17,20,23.....

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Question 195291: write amn explicit formula for the following infinite sequence 14,17,20,23.....
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Take note that the first term is 14 and we're adding 3 to each term to get the next term. So this tells us that a%5B0%5D=14 and d=3


So the general formula a%5Bn%5D=dn%2Ba%5B0%5D (which is an arithmetic sequence) becomes

a%5Bn%5D=3n%2B14 where "n" starts at 0


Note: if you want to start at n=1, then simply subtract 3 from 14 (to scale back the terms) to get a%5Bn%5D=3n%2B11 where "n" starts at 1.