I am Shruthi, studying 6th std. I have some doubts. If possible please clarify the following questions.
 
 
1. Write 31 using 3 five times
2. Write 100 using all the 10 digits just once
3. See the pattern and find the missing row of no’s

1=1=1²
1+3 = 4 = 2²
1+3+5 = 9 = 3²
 
 
2 = 2=1x2
2+4 =6 = 2x3
2+4 = 6 = 2x3
2+4+6 = 12 = 3x4
2+4+6+8 =20 = 4x5

Please help me. Thank you very much.

Hi Shruthi

I can give you some help.

1. I can write 4 using 3 threes,

4 = ³/₃ + 3

Does this help?

3.

1=1²
1+3 = 2²
1+3+5 = 3²
1+3+5+7 = 4²

The sum of the consecutive odd numbers seems to always be a square.

Without doing the arithmetic can you quess what this one is?

1+3+5+7+9+11+13+15

Now do the arithmetic to check your quess.

Penny

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