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2 answers:
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Answer:
32.59 (nearest hundredth)
Step-by-step explanation:
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<u>Geometric sequence</u>
General form of a geometric sequence:
(where a is the first term and r is the common ratio)
Given:
Therefore:
- a = 4
- r = 8/9
<u>Sum of the first n terms of a geometric series</u>:
To find the sum of the first 20 terms, substitute the found values of a and r, together with n = 20, into the formula:
Answer:
x = 1
y = -1
z = 2
Step-by-step explanation:
You have the following system of equations:
First, you can subtract euqation (3) to equation (1):
x + 2y - z = -3
<u>-x +y -z = - 4 </u>
0 3y -2z = -7 (4)
Next, you can multiply equation (3) by 2 and subtract it to equation (2):
2[ x -y + z = 4]
<u> -2x +y -z = -5</u>
0 -y + z= 3 (5)
You multiply equation (5) by 2 and sum (5) with (4):
2[ -y + z = 3]
<u> 3y -2z= -7</u>
y + 0 = -1
Then y = -1
Next, you replace y=-1 in (5) to obtain z:
-(-1) + z = 3
z = 2
Finally, you can replace z and y in the equation (3) to obtain x:
x - (-1) + (2) = 4
x = 1