f.1 sequences and functions

2009-08-09 12:44 am
For each of the following sequences,full in the missing terms and write down the general term.
1. 1 4 9 16 __36
2. 2 5 10 __ 26 37
3. 3 5 7 9 __ 13
4. 6 10__ 18 22 26
5. 1/2 2/3 3/4 4/5 __ 6/7

回答 (2)

2009-08-09 2:15 am
✔ 最佳答案
You need to have the following formula if necessary :
T(n) = a+(n-1)d
where a = the first term; d is the common difference.
1. 1 4 9 16 25 36
T(n) = n2
2. 2 5 10 17 26 37
T(n) = 1 + n2
3. 3 5 7 9 11 13
T(n) = a + (n-1)d
T(n) = 3 + (n-1)2
T(n) = 3 + 2(n-1)
T(n) = 3 + 2n - 2
T(n) = 1 + 2n
4. 6 10 14 18 22 26
T(n) = a + (n-1)d
T(n) = 6 + (n-1)4
T(n) = 6 + 4(n-1)
T(n) = 6 + 4n - 4
T(n) = 2 + 4n
5. 1/2 2/3 3/4 4/5 5/6 6/7
T(n) = n / n+1
參考: Me
2009-08-09 1:14 am
1.16+9=25,,

2.10+7=17,,

3.9+2=11,,

4.10+4=14,,

5.5/6,,
參考: me


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