2 years ago

Please help I'm stuck :/

Mathematics

2 answers:

xz_007 [3.2K]2 years ago

7 0

Same couldn’t figure it out either

Serggg [28]2 years ago

3 0

Easy so just Take 4.50 and I said by 1.50 which one you're going to get three more bags of three need times it by 108÷10 and then that will just be one box and then all you have to do is just find the other boxes with that number so

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Use the formula to evaluate the series 1/4 + 1/9 + 1/27 + 1/81.

Dmitriy789 [7]

Is the first term supposed to be 1/4, or did you actually mean 1/3?

I'll assume the latter. Write

$S=\dfrac13+\dfrac19+\dfrac1{27}+\dfrac1{81}$
$S=\dfrac13+\dfrac1{3^2}+\dfrac1{3^3}+\dfrac1{3^4}$
$\dfrac13S=\dfrac1{3^2}+\dfrac1{3^3}+\dfrac1{3^4}+\dfrac1{3^5}$
$\implies S-\dfrac13S=\dfrac13-\dfrac1{3^5}$
$\dfrac23S=\dfrac13\left(1-\dfrac1{3^4}\right)$
$S=\dfrac12\left(1-\dfrac1{81}\right)$
$S=\dfrac{40}{81}$