The first term, a, is 2. The common ratio, r, is 4. Thus,
a_(n+1) = 2(4)^(n).
Check: What's the first term? Let n=1. Then we get 2(4)^1, or 8. Is that correct? No.
Try this instead:
a_(n) = a_0*4^(n-1). Is this correct? Seeking the first term (n=1), does this formula produce 2? 2*4^0 = 2*1 = 2. YES.
The desired explicit formula is a_(n) = a_0*4^(n-1), where n begins at 1.
The savings are illustrations of ratio, and the ratio of Dawn to Belle's savings in the simplest ratio is 4 : 7
<h3>How to determine the ratio?</h3>
The given ratios are:
Dawn : Mandy = 6 : 7
Mandy : Belle = 2 : 3
Multiply the second ratio by 3.5.
So, we have:
Mandy : Belle = 2 * 3.5 : 3 * 3.5
Evaluate
Mandy : Belle = 7 : 10.5
So, we have:
Dawn : Mandy = 6 : 7
Mandy : Belle = 7 : 10.5
Mandy's ratios in both equation are the same.
So, we have:
Dawn : Mandy : Belle = 6 : 7 : 10.5
Remove Mandy's ratio
Dawn : Belle = 6 : 10.5
Simplify
Dawn : Belle = 4 : 7
Hence, the ratio of Dawn to Belle's savings is 4 : 7
Read more about ratios at:
brainly.com/question/2328454
#SPJ1
Answer:1.45
Step-by-step explanation:
Divide.
To calculate the sine of an angle, simply divide the length of the opposite side, 479.16, by the length of the hypotenuse, 610. To get the cosine, divide the length of the adjacent side, 377.5, by the length of the hypotenuse, 610.
