SOLUTION: given the following patterns 3,10,17,24 what is the 48th term in this pattern

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Question 933723: given the following patterns 3,10,17,24 what is the 48th term in this pattern
Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
a%5B2%5D-a%5B1%5D=10-3=7
a%5B3%5D-a%5B2%5D=17-10=7
a%5B4%5D-a%5B3%5D=24-17=7

So this is an arithmetic sequence with common difference d=7
and first term a%5B1%5D=3

Use the formula for the nth term of an arithmetic sequence:

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

Substitute n=48, a%5B1%5D=3 and d=7

a%5B48%5D=3%2B%2848-1%29%287%29

a%5B48%5D=3%2B%2847%29%287%29
a%5B48%5D=3%2B329
a%5B48%5D=332

Edwin