we are given
first term is

common ratio is

now, we can find nth term

now, we can plug values

now, we can write in sigma form

now, we can find sum
we can use formula

now, we can plug values
we get


so, option-D.................Answer
Answer:
These slopes are perpendicular
Step-by-step explanation:
y = -1/3 x + 2 ; slope = -1/3
y = 3x - 5; slope = 3
Perpendicular lines, slope is opposite and reciprocal
So answer is perpendicular
Answer;
The equation of the line is
3y = 4x + 4
Explanation;
Mathematically we can write the equation of a straight line in the form
y = mx + c
where m is the slope
Since the old line would parallel to the new line, then they have the same slope
This means that the slope of the new line will be 4/3
Now, we had yet slope and a point, we need to write the equation of the line
mathematically;
y- y1 = m(x - x1)
In this case m = 4/3, (x1,y1) = (5,-8)
Thus;
y+ 8 = 4/3(x-5)
y+ 8 = 4/3x -20/3
y = 4/3x -20/3 + 8
Multiply through by 3
3y = 4x -20 + 24
3y = 4x + 4
Answer:
333/500
Step-by-step explanation:
That's what it would be as a fraction.