The answer is yea yea yea yea yea
Answer:
The series 1/5, 2/15, 4/45, 8/135... converges and sums up to 3/5
Step-by-step explanation:
Consider the infinite geometric series
1/5, 2/15, 4/45, 8/135...
With first term, a=1/5
common ratio, r = ⅔
The series converge because the common ratio, |r|<1.
The sum to infinity of a geometric series, S= a/(1-r)
S= 1/5 ÷ (1-⅔) = 1/5 ÷ 1/3 = 3/5
Therefore, the geometric series 1/5, 2/15, 4/45, 8/135... sums up to 3/5.
Answer:
The slope of the other line is -4/5
Step-by-step explanation:
In this question, we are asked to calculate the slope of a line which is perpendicular to the line ;
10x - 8y = -80
The first thing to do here is to write the equation in the standard form for a linear equation.
The standard form is y = mx + c where m refers to the slope and c refers to the y-intercept
Rewriting the equation we have;
8y-80 = 10x
8y = 10x + 80
Now divide the through by 8
We have;
y = 10x/8 + 10
Thus, comparing with y = mx + c , our m here is 10/8
Now for the two lines to be perpendicular, the product of their slope would be equals to -1
Let’s say the slopes are m1 and m2
mathematically m1m2 = -1
since m1 = 10/8
10m2/8 = -1
m2 = -8/10
m2 = -4/5
Answer:
Step-by-step explanation:
