Вопрос от софья ㅤ 19 января 2025 19:43

Question 1

1 + 2 + 3 + 4 + 5 + 6 +7+ 8 + 9 + 10 + 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20 + 21 + 22 + 23 + 24 + 25 + 26 + 27 + 28+ 29 + 30 + 31 + 32 + 33 + 34 + 35 + 36 + 37 + 38 + 39 + 40 + 41 + 42 + 43 + 44 + 45 + 46 + 47 + 48 + 49 + 50 + 51 + 52 + 53 + 54 + 55 + 56 + 57 + 58 + 59 + 60 + 61 + 62 + 63 + 64 + 65 + 66 + 67 + 68 + 69 + 70 + 71 + 72 + 73 + 74 + 75 + 76 + 77 + 78 + 79 + 80 + 81 + 82 плюс 83 + 84 + 85 + 86 + 87 + 88 + 89 + 90 + 91 + 92 + 93 + 94 + 95 + 96 + 97 + 98 + 99 + 100 + 101 + 102 + 103 + 104 + 105 + 106 + 107 + 108 + 108 + 109 + 110 + 111 + 112 + 113 + 114 + 115 + 116 + 117 + 118 + 119 + 120

Answer

To find the sum of the numbers from 1 to 120, we can use the formula for the sum of the first ( n ) natural numbers:

[ \text{Sum} = \frac{n(n + 1)}{2} ]

In this case, ( n = 120 ):

[ \text{Sum} = \frac{120(120 + 1)}{2} = \frac{120 \times 121}{2} = \frac{14520}{2} = 7260 ]

Therefore, the sum of the numbers from 1 to 120 is 7260.

Question 2

1 + 2 + 3 + 4 + 5 + 6 +7+ 8 + 9 + 10 + 11 + 12 + 13 + 14 + 15 + 16 + 17 + 18 + 19 + 20 + 21 + 22 + 23 + 24 + 25 + 26 + 27 + 28+ 29 + 30 + 31 + 32 + 33 + 34 + 35 + 36 + 37 + 38 + 39 + 40 + 41 + 42 + 43 + 44 + 45 + 46 + 47 + 48 + 49 + 50 + 51 + 52 + 53 + 54 + 55 + 56 + 57 + 58 + 59 + 60 + 61 + 62 + 63 + 64 + 65 + 66 + 67 + 68 + 69 + 70 + 71 + 72 + 73 + 74 + 75 + 76 + 77 + 78 + 79 + 80 + 81 + 82 плюс 83 + 84 + 85 + 86 + 87 + 88 + 89 + 90 + 91 + 92 + 93 + 94 + 95 + 96 + 97 + 98 + 99 + 100 + 101 + 102 + 103 + 104 + 105 + 106 + 107 + 108 + 108 + 109 + 110 + 111 + 112 + 113 + 114 + 115 + 116 + 117 + 118 + 119 + 120

Answer

To find the sum of the numbers from 1 to 120, we can use the formula for the sum of the first \( n \) natural numbers: \[ \text{Sum} = \frac{n(n + 1)}{2} \] In this case, \( n = 120 \): \[ \text{Sum} = \frac{120(120 + 1)}{2} = \frac{120 \times 121}{2} = \frac{14520}{2} = 7260 \] Therefore, the sum of the numbers from 1 to 120 is **7260**.

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