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Art [367]
3 years ago
15

What is the sum of of each of the following series of numbers? 1+3+5+----+997+999

Mathematics
1 answer:
Anika [276]3 years ago
3 0

Answer:

998,001

Step-by-step explanation:

Sum (S) of n terms in an arithmetic sequence is given by;

S_{n} = \frac{n}{2}(2a + d(n-1)) , where d is the common difference

S_{999} = \frac{999}{2}(2 + 2(999-1)) = 998,001

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Write a quadratic equation with the given roots. Write the equation in the form of ax^2+bx+c=0 where a b and c are integers
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You haven't provided the required roots, but I can tell you how to do this kind of exercises in general.

If the x^2 coefficient is 1, i.e. the equation is written like x^2+bx+c=0, then you can say the following about the coefficients b and c:

  • b is the opposite of the sum of the roots
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So, for example, if we want an equation whose roots are 4 and -2, we have:

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So, the equation is x^2-2x-8=0

If your roots are rational, you can work like this: suppose you want an equation with roots 3/4 and 1/2. You have:

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And so the equation is

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In order to have integer coefficients, you can multiply both sides of the equation by 8:

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3 years ago
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Answer: n=-9

Step-by-step explanation:

6 0
4 years ago
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