Question

Write set using rule method
A={1, 4, 9, 16, 25, 36, 49, 64, 81, 100}​

Answer 1

Answer:

They are consecutive perfect squares. They are also consecutive sums of numbers with odd parity.

Firstly, consecutive perfect squares.

• 1²=1
• 2²=4
• 3²=9
• 4²=16
• 5²=25
• 6²=36
• 7²=49
• 8²=64
• 9²=81
• 10²=100

Secondly, they are also consecutive sums of numbers with odd parity.

1. 1
2. 1+3=4
3. 1+3+5=9
4. 1+3+5+7=16
5. 1+3+5+7+9=25
6. 1+3+5+7+9+11=36
7. 1+3+5+7+9+11+13=49
8. 1+3+5+7+9+11+13+15=64
9. 1+3+5+7+9+11+13+15+17=81
10. 1+3+5+7+9+11+13+15+17+19=100

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Answer 2

Answer:

A = {x | x = n², n € N, n ≤ 10}

Step-by-step explanation:

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