SOLUTION: Find the 100th term of this arithmetic sequence. 5,8,11,14,17

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Question 980702: Find the 100th term of this arithmetic sequence. 5,8,11,14,17
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
 5,8,11,14,17

Start with 5
Add 3 1 time to 5 to get the 2nd term, 5+3*1 = 5+3 = 8
Add 3 2 times to 5 to get the 3rd term, 5+3*2 = 5+6 = 11
Add 3 3 times to 5 to get the 4th term, 5+3*3 = 5+9 = 14
Add 3 4 times to 5 to get the 5th term, 5+3*4 = 5+12 = 17
...
... so,
Add 3 99 times to 5 to get the 100th term, 5+3*99 = 5+297 = 300

Or use formula which is the same idea:

a%5Bn%5D=a%5B1%5D%2B%28n-1%29%2Ad

n=100, a1=5, d=3

a%5B100%5D=5%2B%28100-1%29%2A3

a%5B100%5D=5%2B%2899%29%2A3

a%5B100%5D=5%2B297

a%5B100%5D=300

Edwin