Form 1 Maths

2010-11-27 7:40 am
In each of the following sequences, find the next 3 terms.
1b. 1,-4,9, -16,25
1d. 18,13,8,3
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The following figures are formed by equilateral triangles.
1st Figure=1 triangle
2nd Figure=4 triangles
3rd Figure=9 triangles
3a. Let x be the number of equilateral triangles in each figure and S be the perimeter. Complete the following table.
a th Figure a=1 a=2 a=3
Number of triangles x ? ??
Perimeter S ? ? ?
3b. Express x and S in terms of a.
3c. Find the values x and S when a=10 and a=100.

回答 (2)

2010-12-04 8:23 am
✔ 最佳答案
1b)-36,49,-64
1d)-2, -7,-12
3a)assume the perimeter of 1 triangle is 3cm (it should be given)
a th:1 a=2 a=3
Number of triangles x:1 4 9
Perimeter S:3cm 6cm 9cm

3b)x=a^2, S=3a
(only in this case since perimeter of 1 triangle is 3cm , in general case S=(perimeter of 1 triangle )a)
3c)a=10, x=100, S=30cm
a=100, x=10000, S=300cm
參考: myself
2010-11-27 6:26 pm
1d. -2, -7, -12
3c. a10=10+19
=29

The other , I don't know how to do it. sorry
參考: me


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