Answer:
(π+2)/(π-1)
Step-by-step explanation:
The sum of an infinite geometric series with first term 'a' and common ratio 'r' is given by the formula ...
S = a/(1 -r) . . . . . for |r| < 1
<h3>Series</h3>
The given sum can be decomposed into a constant and a series:
= -2 +(3 +3/π +3/π² +3/π³ +...)
= -2 +S . . . where a=3 and r=1/π in the above sum formula
<h3>Sum</h3>
Then the sum is ...
__
<em>Additional comment</em>
There is no way to rationalize the denominator of this fraction, but the numerator can be rationalized by writing it as a mixed number:
Effectively, this is the same as we would have gotten with ...
1 +S . . . where a=3/π and r=1/π
Answer:
X<2
I think is that never the less could be wrong
The mixed number form is 6 2/3
The decimal form is 6.6
The exact form is 20/3
Answer:
Step-by-step explanation:
The two equations form two parallel lines because their slopes are the same, but their y-intercepts are different. This means that the equation of the two lines have no solutions. Please check out my graph to understand better.
<h3>The equation of the line that passes through the points (3,1) and (6,6) is:</h3>
<em><u>Solution:</u></em>
Given that,
We have to find the equation of the line that passes through the points (3,1) and (6,6)
<em><u>Find the slope of line</u></em>
From given,
Substituting the values we get,
<em><u>The slope intercept form of line is given as:</u></em>
y = mx + c ------ eqn 1
Where,
m is the slope
c is the y intercept
Substitute m = 5/3 and (x, y) = (3, 1) in eqn 1
Substitute m = 5/3 and c = -4 in eqn 1
Thus the equation of line in slope intercept form is found