SOLUTION: Find the nth term of the given sequence 4, -3, -10, -17.....

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Question 1161716: Find the nth term of the given sequence 4, -3, -10, -17.....
Answer by math_helper(2461) About Me  (Show Source):
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a%5B1%5D+=+4+

a%5B2%5D+=+-3    difference is -7 (-3-4 = -7), we can write:  -3 = 4+1(-7)

a%5B3%5D+=+-10   difference is -7 (-10-(-3) = -7), write:    -10 = 4+2(-7)



a%5Bn%5D+=+4+%2B+%28n-1%29%28-7%29+



or more commonly written: +highlight%28a%5Bn%5D+=+4+-+7%2A%28n-1%29%29+, n=1,2,3,...