Thursday, December 30, 2010

Charlie's Christmas Holiday's Blog #4

one recent thing we did was arithmetic sequences. where you use the formula to find the certain number of the sequence that you want to find or just find the real formula to find that certain number of the sequence. the formula you use is t*n = t*1 + (n - 1) d; where t*n is the sequence anser you want to find, t*1 is the firse numbe of the sequence, and d is the number being added.

For example:
6, 12, 18, 24
t*n = 6 + (n - 1) 6
= 6 + 6n - 6
= 6n
~~>all you do is find what is being added, then plug into the formula.

For example:
t*1 = 3 and t*2 = 7, find t*6
t*n = 3 + (n-1) 4
= 3 + 4n - 4
= -1 + 4n
t*6 = -1 + 4(6)
= -1 + 24
= 23
~~> you find what is being added between the first 2, then plug into the formula. then change the t*n to t*6 and replace the n in the new formula with 6.

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