SOLUTION: for the sequence, describe the pattern, write the next term, and write a rule for the nth term. ( the x's are 1,2,3,4,5) 1) 3, 1, -1, -3, ..... 2) -3, -24, -81, -192, .....

Question 176910: for the sequence, describe the pattern, write the next term, and write a rule for the nth term. ( the x's are 1,2,3,4,5)
1) 3, 1, -1, -3, .....
2) -3, -24, -81, -192, .....
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
1) the common difference between any two successive terms is -2

the next term is -3-2 or -5

the nth term is -2n+5

2) there is no common difference or common ratio __ these are characteristics of a series with an exponent other than 1

dividing by -3 gives 1, 8, 27, 64, ... __ these are perfect cubes

the next term is -375

the nth term is -3n^3
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