Question 1159332: Write an explicit rule that defines this (1, 3, 5, 7, 9)
sequence.
I wanted to double-check that I did this right is is a(n) = 1+2(10)
Found 2 solutions by jim_thompson5910, ikleyn:
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website!
a1 = 1 is the first term
d = 2 is the common difference, telling us to add 2 to each term to get the next one
nth term of an arithmetic sequence
a(n) = a1 + d(n-1)
a(n) = 1 + 2(n-1)
a(n) = 1 + 2n-2
a(n) = 2n - 1
It looks like you have the right idea when you wrote 1+2(10), though the "10" should be n-1, and then you simplify to what you see above.
Answer by ikleyn(52879)  (Show Source):
You can put this solution on YOUR website! .
 = 1 + 2*(n-1), n = 1, 2, 3, 4, 5.
Or, equivalently,
= 2n-1, n = 1, 2, 3, 4, 5.
You can use any of these two formulas.
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