Sequences finding a rule

[object Object],A finite sequence ends after a certain number of terms. An infinite sequence is one that continues indefinitely.

[object Object],1, 3, 5, 7, … (This is a sequence of odd numbers) 1st term = 2 x 1 – 1 = 1 2nd term = 2 x 2 – 1 = 3 3rd term = 2 x 3 – 1 = 5 nth term = 2 x n – 1 = 2 n - 1 . . . . . . + 2 + 2

NOTATION ,[object Object],2nd term = u 3rd term = u n th term = u . . . . . . 1 2 3 n

OR ,[object Object],2nd term = u 3rd term = u n th term = u . . . . . . 0 1 2 n-1

FINDING THE FORMULA FOR THE TERMS OF A SEQUENCE

[object Object],u = u +3 = 8 u = u +3 = 11 u = u +3 = 3 n + 2 . . . 1 2 3 n+1 For example: 5, 8, 11, 14, … 1 2 n

[object Object],[object Object],[object Object]

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],k k 2 3 n - 1

[object Object],[object Object]

[object Object],[object Object],[object Object],[object Object],[object Object],1 __ 2 n n 1 1024 ____

[object Object],[object Object],[object Object],[object Object],[object Object],n + 1 1 3 2 4

Sequences finding a rule

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