Question 11 Multiple Choice Worth 1 points)

Mathematics

1 answer:

Ann [662]3 years ago

5 0

I think it would be 35

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Which equation could be used to calculate the sum of the geometric series? one-third two-ninths startfraction 4 over 27 endfract

Andrew [12]

The equation could be used to calculate the sum of the geometric series is $S_n=\dfrac{\frac{1}{3} (1-(\frac{2}{3} )^n)}{1-\frac{2}{3} }$

<h3>Sum of geometric sequence</h3>

Geometric sequence are sequence that increase expoentially. The formula for calculating the sum of an exponential sequence is expressed as:

$S_n=\frac{a(1-r^n)}{1-r}$

where

a is the first term
n is the number of terms
r is the common ratio

From the given sequence

a= 1/3

r = 2/9 * 3 = 2/3

Substitute into the formula

$S_n=\dfrac{\frac{1}{3} (1-(\frac{2}{3} )^n)}{1-\frac{2}{3} }$

Hence the equation could be used to calculate the sum of the geometric series is $S_n=\dfrac{\frac{1}{3} (1-(\frac{2}{3} )^n)}{1-\frac{2}{3} }$

Learn more on geometric series here; brainly.com/question/24643676

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If z = (5 + 12i) ÷ (3 + 4i), then |z| = _____.<br><br> 5/13<br> 1(2/3)<br> 2(3/5)<br> 3

Marta_Voda [28]

$\dfrac{5+12i}{3+4i}=\dfrac{5+12i}{3+4i}\cdot\dfrac{3-4i}{3-4i}=\dfrac{15-20i+36i-49i^2}{3^2-(4i)^2}\\\\=\dfrac{15+16i+49}{9-16i^2}=\dfrac{64+16i}{9+16}=\dfrac{64+16i}{25}=2.56+0.64i$

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