Answer:
Milan puts 1/4 of her lawn-mowing money in savings and uses 1/2 of the remaining money to pay back her sister. If she has $15 left
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Answer:
shouldn't there be a pictures with this Question
Step-by-step explanation:
Answer:
<h3>1</h3>
Step-by-step explanation:
The nth term of an exponential sequence is expressed as ar^n-1
The nth term of a linear sequence is expressed as Tn = a + (n-1)d
a is the first term
r is the common ratio
d is the common difference
n is the number of terms
Let the three consecutive terms of an exponential sequence be a/r, a and ar
second term of a linear sequence = a +d
third term of a linear sequence = a + 2d
sixth term of a linear sequence = a + 5d
Now if the three consecutive terms of an exponential sequence are the second third and sixth terms of a linear sequence, this is expressed as;
a/r = a + d ..... 1
a = a + 2d ..... 2
ar = a+ 5d .... 3
From 2: a = a + 2d
a-a= 2d
0 = 2d
d = 0/2
d = 0
Substitute d = 0 into equation 1:
From 1: a/r = a + d
a/r = a+0
a/r = a
Cross multiply
a = ar
a/a = r
1 = r
Rearrange
r = 1
<em>Hence the common ratio of the exponential sequence is 1</em>
Answer:
b and d
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hope it helped
Answer:
The picture just shows the beginning logic. We now know that we need to find a polygon with an interior angle that has a ratio of 1:3 with its exterior angle.
We can use this formula to find the number of sides of the polygon:
((n-2)×180)/n = 120
(n-2)×180 = 120n
180n - 360 = 120n
60n = 360
n = 6
We now know that the shape has 6 sides with 120 degree interior angles.
A shape with 6 sides is a hexagon.
