Mathematics: Look for a pattern in the first three equations. then, fill in the missing numbers in the rest of the series of equations. 1= 1 · 2⁄2 1 + 2 = 2 · 3⁄2 1 + 2 + 3 = 3 · 4⁄2 1 + 2 + 3 + ? = ? · ? ⁄? 1 + 2 + 3 + ? + ? = ? · ? ⁄?

Look for a pattern in the first three equations.

Ответ:

dijaflame67

11.03.2022

Mathematics

$1+2+3+4+=4\times \frac{5}{2}\\ 1+2+3+4+5=5 \times \frac{6}{2}$

Step-by-step explanation:

The given equation are

$1=1\times \frac{2}{2} \\1+2=2\times \frac{3}{2}\\ 1+2+3=3\times \frac{4}{2}\\ 1+2+3+?=?\times \frac{?}{?}\\ 1+2+3+?+?=?\times \frac{?}{?}$

As you can observe, the left side of equation has a sum which increases by one. The right side of the equation has a product between a number and a fraction, the number increases 1 unit, and the numerator of the fraction also increases 1 unit, but the denominator remains the same.

Applying this patterns, the third and fourth equation are

$1+2+3+4+=4\times \frac{5}{2}\\ 1+2+3+4+5=5 \times \frac{6}{2}$

Therefore, the two last equation completed are

$1+2+3+4+=4\times \frac{5}{2}\\ 1+2+3+4+5=5 \times \frac{6}{2}$

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Look for a pattern in the first three equations. then, fill in the missing numbers in the rest of the series of equations. 1= 1 · 2⁄2 1 + 2 = 2 · 3⁄2 1 + 2 + 3 = 3 · 4⁄2 1 + 2 + 3 + ? = ? · ? ⁄? 1 + 2 + 3 + ? + ? = ? · ? ⁄?

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