The sum of the first n terms in a geometric sequence given the first term (a1) and the common ratio (r) is calculated through the equation,
<span>Sn </span>= (<span><span><span>a1</span>(1−<span>r^n</span>) / (</span><span>1−r)
Substituting the known terms,
Sn = (20)(1 - (1/4)^4)) / (1 - 1/4)
Sn = 26.5625
Thus, the sum of the first four terms is 26.5625. </span></span>
Answer:
30
Step-by-step explanation:
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Answer:
1/4 for one spin
1/4 x 1/4 = 1/16
You have a 1/16 chance to spin the same color twice.
Answer: slope, m = -7/3
Step-by-step explanation:
The equation of the line is
7x+3y=15.
To find the slope,
We will consider the standard slope intercept equation also known as the equation of a straight line,
y = mx + c
Where m = slope( change in y values divided by change in x values)
c = the y intercept. This is the point where the straight line cuts across the y axis
Looking at the given equation, 7x+3y=15,
We would need to rearrange it and make y the subject of the formula. It becomes
3y = 15 - 7x
Dividing the right hand side of the equation and left hand side of the equation by 3,
y = -7x/3 + 15. Comparing with the slope intercept equation,
m = -7/3
Answer:
78°
Step-by-step explanation:
when two lines intersect it creates 4 seperate angles, here it gives us 78°, and we know that the angle across from it is the same, so they equal.
