Mathematics: What is the sum of the arithmetic series below? use the formula for the sum of an arithmetic series.

What is the sum of the arithmetic series below? use

Ответ:

mccdp55

10.01.2022

The required sum is 504.

Step-by-step explanation: We are given to find the sum of the following arithmetic series using the formula for the sum of an arithmetic series :

$\sum_{i=1}^{18}(2i+9).$

The given arithmetic series can be written, in expanded form, as follows :

11+13+15+17+~.~.~.~+43+45.

We know that

the sum of first n terms of an arithmetic series with first term a and common difference d is given by

$S=\dfrac{n}{2}\{2a+(n-1)d\}.$

In the given series, a = 11 and d = 13 - 11 = 15 - 13 = . . . =2.

Therefore, the sum up to 18 terms will be

$S_{18}=\dfrac{18}{2}\{2\times 11+(18-1)\times2\}=9(22+34)=9\times56=504.$

Thus, the required sum is 504.

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Ответ:

umezinwachukwuebuka1

19.12.2020

Mathematics

See image

Step-by-step explanation:

I used distance formula to calculate. But if you haven't learned distance formula or solving radical equations, or solving equations by taking sq roots then maybe you were just supposed to graph it and look for the points. The answers came out to be nice neat numbers, so that is possible. x = 6 and x = 24

(15,9) and (x,-3), find all x such that the distance between 2 points is 15

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What is the sum of the arithmetic series below? use the formula for the sum of an arithmetic series.

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