Answer:
20,176,803
Step-by-step explanation:
This geometric series has a first term of 3 and a common ratio of 21/3 = 7. The formula for the sum of n terms of a series with first term a1 and common ratio r is ...
Sn = a1·(r^n -1)/(r -1)
For a1=3, n=9, and r=7, the sum is ...
S9 = 3·(7^9 -1)/(7 -1) = 3·40353606/6 = 20,176,803
The sum of the first 9 terms is 20,176,803.
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The first 9 terms are ...
3 +21 +147 +1029 +7203 +
50,421 +352,947 +2,470,629 +17,294,403
Pls. see attachment. I created that table for easy monitoring and understanding.
Yellow cells are sums that are even.
Orange cell are sums that are multiples of 3.
Yellow cells w/ orange texts are sums that are both even and multiples of 3.
The correct answer is: 3) " <span>20w⁵ </span>" .
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Explanation:
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(10w³)²<span>/ (5w) =
[ 10</span>² * w⁽³*²)<span> ] / [5w] =
(100* w</span>⁶) / 5w =
(100/5) * w⁽⁶⁻¹⁾ =
20 * w⁵ =
20w⁵ ; which is: Answer choice: 3) " <span>20w⁵ </span>" .
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What variable are you solving for?
-x + y = 4
2x+3y= 2
-2x + 2y = 8
2x + 3y = 2
5y = 10
y= 2
-x + 2 = 4
-x = 2
x = -2
