Find the explicit formula for the sequence? -1,4,-16,64......
1 answer:
The explicit formula for given sequence is:
Step-by-step explanation:
Given sequence is:
-1,4,-16,64.....
We can see that there is no same difference between consecutive terms so we will find common ratio to see if it is a geometric sequence.
Here
The explicit formula for geometric sequence is:
Putting the values of r and a1
Hence
The explicit formula for given sequence is:
Keywords: Geometric sequence, common ratio
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John held a garage sale. He priced all the items at a dime or a quarter, his sales totaled less than $5, the solution is shaded region in quadrant I.
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He priced all items at a dime or a quarter. His sales totaled less than $5
Since dime =$ 0.10=$0.10 and the quarter =$0.25=$0.25
Let x=x= the number of the items sold for a dime
Let y=y= the number of the items sold for a quarter
0.10x+0.25y<5
0.10x+0.25y<5
Inequality in the slope-intercept form
0.10x+0.25y Subtract 0.10x from both sides
0.25y<-0.10x+5 Divide both sides by 0.25
Subtract 0.10x from both sides
The slope is, and the y- intercept is 20
Since inequality sign is << so, draw a dashed line
Test point (0,0)(0,0)
Substituting the values 0 for x and 0 for y,
Since inequality is true
So, (0,0)(0,0) is solution of the inequality
Shade region containing (0,0)(0,0).
The graph below shows all possible solutions
Since boundary line is dashed and the number of items is always positive
The solution is shaded region in quadrant I
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Answer:
The number of combinations will she have to analyze is 10.
Step-by-step explanation:
We know that Boeing currently produces five models of airplanes for commercial sale. The airline that Lauren works for is rapidly expanding and would like to purchase three airplanes of different models to service various routes. We calculate the number of combinations will she have to analyze.
The number of combinations will she have to analyze is 10.