Q. Compelete the pattern.
a) 4, 16, 25, ___, ___, ___
b) 50, 100, 150, ___, ___, ___
c) 66, 60, 54, ___, ___, ___
d) 1, 11, 21, ___, ___, ___
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Answers
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2
Answer:
Notice that these are all square numbers:
4=2×2
9=3×3
16=4×4
25=5×5
So we would expect the next number in the sequence to be:
36=6×6
Another way of writing a×a is a2.
In general:
an=n timesa×a×...×a
You will find that it is very useful to know a few square numbers.
The first twenty are:
1,4,9,16,25,36,49,64,81,100,121,144,169,196,225,256,289,324,361,400
So, 0, 1, 4, 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and so on, are all square numbers.
Answered by
10
- 36,49,64
- 200,250,300
- 48,42,36
- 31,41,51
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