SOLUTION: whats the next term 12 17 22 27 describe the pattern

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Question 1135591: whats the next term 12 17 22 27
describe the pattern


Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
12.......... 17.......... 22.......... 27
..........5.............5..........5
=> common difference is d=5,
so, you add 5 to first term to get second term, add 5 to second term to get third term, and so on

so, in general, you have arithmetic sequence and the formula for nth term will be
a%5Bn%5D=a%5B1%5D%2B%28n-1%29d
a%5Bn%5D=12%2B%28n-1%295
and next term will be:
a%5Bn%5D=12%2B%285-1%295
a%5Bn%5D=12%2B20
a%5Bn%5D=32
and so on...