Answer:
If p is the smallest of n consecutive integers of the same sign than we have p , p+1 , p+2 , … , p+(n−1) ,
So the sum is
∑k=0n−1(p+k)=∑k=0n−1p+∑k=0n−1k=np+n2−n2
Here n=4
So we have 4p+6
And checking
p+(p+1)+(p+2)+(p+3)=4p+6
Note if p=−v
Than you have the same thing as if p=v−n+1 just negative for example 3 consecutive integers the smallest is −5 so the sum is −5+(−4)+(−3)=3×−5+32−32=−15+3=−12
On the other hand:
−(3+4+5)=−(3×3+32−32)=−(9+3)=−12
If p=−v the sum of next v+1 integers is −(∑k=0vk)=−(v2+v2)
Than needs an other v integers to bring it up to 0 again. From there it is
∑k=0hk=h2+h2
Where h=n−(2v+1) .
So recap if p is the smallest of n consecutive integers their sum is
p+(p+1)+(p+2)+…+(p+(n−1))=⎧⎩⎨⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪np+n2+n2−(n|p|+n2+n2)((n−|p|)2+(n−|p|)2)−(|p|p+|p|2+|p|2)((n−|p|)2+(n−|p|)2)n≥0p<0∧n<|p|+1p<0∧|p|<n<2|p|+1p<0∧n>2|p|+1
Step-by-step explanation:
Answer:
x = -3
Step-by-step explanation:
x + 3y = -5
x = -3y - 5
2(-3y - 5) - y = 11
-6y - 10 - y = 11
-7y - 10 = 11
-7y = 21
y = -3
Answer:
B. x = -4
E. x = 10
Step-by-step explanation:
Answer:
The measure of angle <RUS is 23°
Step-by-step explanation:
In this problem we know that
82°+24°+<RUS+51°=180°
solve for < RUS
157°+<RUS=180°
<RUS=180°-157°
<RUS=23°
To solve this (assuming that you mean simple interest) you need to first know the formula for exponential growth witch is S(1+(-)I)
so with all of are numbers inputed it looks something like this 800(1+.0425)
because,
S=starting amount, I=interest rate, and T=Time (amount of time that goes by)
back to the equation it would equal 1027 (rounded to the nearest dollar)
Enjoy!=)
