Look at the top for my question. To the rblx guy, I will give you brainly after I finish my assignment,

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

3 0

2 years ago

An official playing field (including end zones) for the Indoor Football League has a length 29 yd longer than its width. The per

Dennis_Churaev [7]

Answer:

An official playing field (including end zones) for the Indoor Football League has a length 29 yd longer than its width. The perimeter of the rectangular field is 158 yd. Find the length and width of the field

Step-by-step explanation:

7 0

3 years ago

25 PTS *** Multiply and simplify. Write your answer in radical notation

marishachu [46]

$\sqrt[3]{xy^5} \sqrt[3]{x^7y^{17}}= \sqrt[3]{xy^5 \cdot x^7y^{17}}= \sqrt[3]{x^8y^{22}}= x^2y^7\sqrt[3]{x^2y}$

3 0

3 years ago

How do you write 7 1 \12 as a whole number

Alex777 [14]

Answer: 7

Step-by-step explanation:

Write as a decimal

7 1/2 would be written as ~7.0833

Rounding a decimal to the nearest whole number

If you have a decimal that is greater than or equal to 5 in the tenths place then you round up. Ex: 5.8 would be rounded to 6, 1.5 would be rounded to 2.

If you have a decimal that is less than or equal to 4 in the tenths place then you round down. Ex: 5.1 would be rounded 5, 1.2 would be rounded to 1.

Since 0 is in the tenth’s place we round down to 7.

3 0

3 years ago

Match the two numbers with their least common multiple (LCM). Match Term Definition b 6 and 4 A) 24 a 6 and 8 B) 12 c 6 and 10 C

almond37 [142]

The LCM of 6 and 4 is 12. The LCM of 6 and 8 is 24. The LCM of 6 and 10 is 30.

To find the LCM, we find the prime factorization of each number.

6 = 2*3
4 = 2*2

They have a 2 in common, so this is one factor of the LCM. We then take the uncommon factors, 3 and 2, giving us

2*3*2 = 12.

6 = 2*3
8 = 2*2*2

LCM = 2 (in common) * 3 * 2 * 2 (uncommon) = 24.

6 = 3*2
10 = 5*2

LCM = 2 (in common) * 3 * 5 (uncommon) = 30.

8 0

3 years ago

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