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3 years ago

Find The sun of 2-3+9/2-27/4+.....-177147/1024

1 answer:

4 0

Hello,

$s=2-3+ \dfrac{9}{2} - \dfrac{27}{4} +...- \dfrac{177147}{1024} \\\\

=2(1- \dfrac{3}{2} + \dfrac{3^2}{2^2} - \dfrac{3^3}{2^3}+...- \dfrac{3^{11}}{2^{11}} )\\\\
=2( \dfrac{1- (\dfrac{-3}{2})^{12}}{1+ \dfrac{3}{2} } )\\\\

=2( \dfrac{2^{12}-3^{12}}{ \dfrac{5}{2} } )\\\\

= \dfrac{4}{5*4096} *(-527345)=-102,9970703125$

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3 years ago

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irina1246 [14]

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Step-by-step explanation:

To write a quadratic equation into binomial form we can compare the equation into the completing square form of a quadratic equation like this ,

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we can equate both the equations from left hand side to right hand side like this,

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$x^2+24x+144=a(x-h)^2+k\\x^2+24x+144=a((x)^2-2(x)(h)+(h)^2)+k\\x^2+24x+144=a(x^2-2hx+h^2)+k\\x^2+24x+144=ax^2-2ahx+ah^2+k\\$

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$144 = ah^2+k\\144=(1)(-12)^2+k\\144=(1)(144)+k\\144=144+k\\144-144=k\\0=k\\$

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this is the square of a binomial, if you want to verify if we expands this formula by the formula of (a + b)^2 we would get the same result. Thus this is the correct answer.

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