數學
高中
已解決

求求這題

5.設x為自然數,f(x)表√x的整數部分,則f(1) + f(2) + f(3) f(100) = ?
近似值與數的對論

解答

✨ 最佳解答 ✨

f(1) ~ f(3) = 1
1 * 3 = 3

f(4) ~ f(8) = 2
2 * 5 = 10

f(9) ~ f(15) = 3
3 * 7 = 21

f(16) ~ f(24) = 4
4 * 9 = 36

f(25) ~ f(35) = 5
5 * 11 = 55

f(36) ~ f(48) = 6
6 * 13 = 78

f(49) ~ f(63) = 7
7 * 15 = 105

f(64) ~ f(80) = 8
8 * 17 = 136

f(81) ~ f(99) = 9
9 * 19 = 171

f(100) = 10
10 * 1 = 10

SUM = 625

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