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Mariulka [41]
4 years ago
11

What is the sum of the first 50 natural numbers? How to solve it without adding 50 digits?

Mathematics
2 answers:
Verdich [7]4 years ago
5 0
1+2+3+4+5+\dots+50\\\\1;\ 2;\ 3;\ 4;\ 5;\dots;50\ are\ the\ terms\ of\ a\ arithmetic\ sequence\\where\ a_1=1\ and\ d=1\\\\Sum:S_n=\frac{a_1+a_n}{2}\cdot n\\\\S_{50}=\frac{1+50}{2}\cdot50=51\cdot25=1275\leftarrow solution
dsp734 years ago
5 0
Look at the first one and the last one:                  1 + 50 = 51
Look at the second one and the second-last one:  2 + 49 = 51
Look at the third one and the third-last one:           3 + 48 = 51

Every pair you construct in this way adds up to 51 .

There are ( 50/2 ) = 25 pairs.

They all add up to ( 25 pairs ) x ( 51 per pair ) = <u>1,275 </u>
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Whats the y intercept of a line that passes through (8, -9) and has a slope of -5/4.
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Answer: The y-intercept is 1

Step-by-step explanation:

y = mx + b              m = slope, and b = y-intercept

plugging in the given values, we get

-9 = (-5/4)(8) + b

simplify to get

-9 = -10 + b

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3 years ago
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What is the slope of the line that passes through the points (-2, -1)(−2,−1) and (2, -3) ?(2,−3)? Write your answer in simplest
erica [24]

The slope of line that passes through given points is -1/2

Step-by-step explanation:

The formula for slope is:

m = \frac{y_2-y_1}{x_2-x_1}

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Putting the values in the formula of slope

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The slope of line that passes through given points is -1/2

Keywords: Slope, rate of change

Learn more about slope at:

  • brainly.com/question/11150876
  • brainly.com/question/11175936

#LearnwithBrainly

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4 years ago
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