SOLUTION: Write the next term in the sequence. Then write a rule for the nth term: 1/2, 1, 3/2, 2,... ; 1, 4, 7, 10,... ; 4, 3, 2, 1,... ; 5, 7, 9, 11,... ; 3, 7, 11, 15,... ; 4, 9, 16, 25,.

Algebra ->  Sequences-and-series -> SOLUTION: Write the next term in the sequence. Then write a rule for the nth term: 1/2, 1, 3/2, 2,... ; 1, 4, 7, 10,... ; 4, 3, 2, 1,... ; 5, 7, 9, 11,... ; 3, 7, 11, 15,... ; 4, 9, 16, 25,.      Log On


   

Question 480422: Write the next term in the sequence. Then write a rule for the nth term: 1/2, 1, 3/2, 2,... ; 1, 4, 7, 10,... ; 4, 3, 2, 1,... ; 5, 7, 9, 11,... ; 3, 7, 11, 15,... ; 4, 9, 16, 25,...
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi,

Write the next term in the sequence.

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

{1/2, 1, 3/2, 2, highlight%285%2F2%29,..} d = 1/2  

{1, 4, 7, 10,highlight%2813%29,..} d = 3

{4, 3, 2, 1,highlight%280%29,..} d = -1

{5, 7, 9, 11,highlight%2813%29,..}  d = 2 

{3, 7, 11, 15,highlight%2819%29,..} d = 4



{4, 9, 16, 25,highlight%2836%29...}  2%5E2,3%5E2,4%5E2,5%5E2,etc

a%5Bn%5D+=+%28n%2B1%29%5E2