3 years ago

The hickory hills and I have to do a bunch

Mathematics

1 answer:

Volgvan3 years ago

4 0

What does that mean?

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Determina la suma de las siguientes progresiones los primeros 18 términos de la progresión aritmética: an = -{4, 12, 20, 28, 36,

Anuta_ua [19.1K]

Hello,
let
t=(-4)+(-12)+(-20)+(-28)+(-36)+....=-(4+12+20+28+36+...)=-s

$a_{1}=4=-4+1*8$
$a_{2}=12=-4+2*8$
$a_{3}=20=-4+3*8$
$a_{4}=28=-4+4*8$

...
$a_{18}=?=-4+18*8=140$

$a_{i}=-4+i*8$

$s=\sum_{i=1}^{18} (-4+i*8)=\sum_{i=1}^{18} (-4)+\ 8*\sum_{i=1}^{18}(i)\\\\=(-4)*18+8*(1+2+3+4...+18)\\\\=-72+\frac{(1+18)*18}{2}\\\\=-72+171=99$

$\boxed{\ t=-99}$

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You are on a business trip in Great Britain. Great Britain uses the pound for currency. The exchange rate is 1 British Pound is

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If the equation y² - (K-<br>2y + 2k +1 = 0<br>with equal roots find the value of k

777dan777 [17]

Answer:

y² - (K- 2)y + 2k +1 = 0

equal roots means D=0

D= b^2 - 4ac

a=1, b= (k-2), c= 2k+1

so,

(k-2)^2 - 4(1)(2k+1) = 0

=> k^2 +4 - 8k -4 = 0

=> k^2 -8k = 0

=> k^2 = 8k

=> k= 8k/k

=> k = 8

Therefore the answer is k= 8

Hope it helps........

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