Answer:
Nothing too simplified in this. That's in its most simplified form.
Step-by-step explanation:
The sum of any geometric sequence (if it converges, r^2<1) is of the form:
s(n)=a(1-r^n)/(1-r), a=initial term, r=common ratio, n=number of terms...
s(n)=30(1-0.4^n)/(0.6)
s(n)=50(1-0.4^n)
Since r<1 the sum of the infinite series is just:
s=50
Answer:
p equals two and four tenths
Step-by-step explanation:
First let's write our equation
five p plus three equals fifteen
<h3>Subtract three from both sides</h3><h3 />
five p equals twelve
divide both sides by 5
p equals two and four tenths
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Word Problem
You bought 5 pears that were worth x dollars, you have an extra 3 dollars, the total of the money you spent and you have is 15 dollars. How much does one pear cost?
Consecutive numbers are numbers that follow one right after the other. One example is the set {6, 7, 8}. We don't know the three consecutive numbers so let's define...
x = first number
x+1 = second number
x+2 = third number
where x, x+1, and x+2 are consecutive numbers
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"The sum of three consecutive numbers is -15" meaning that
x+(x+1)+(x+2) = -15
Let's solve for x
x+(x+1)+(x+2) = -15
x+x+1+x+2 = -15
3x+3 = -15
3x+3-3 = -15-3
3x = -18
3x/3 = -18/3
x = -6
So this means
first number = x = -6
second number = x+1 = -6+1 = -5
third number = x+2 = 6+2 = -4
The list of consecutive values is {-6, -5, -4}
They add up to (-6) + (-5) + (-4) = -11+(-4) = -15
which confirms we have the right values
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In short, the final answer is -4
