19 1/2. I just solved a problem like that
Answer:
a25 = 21
Step-by-step explanation:
In accordance with the given data, this is arithmetic sequence.
If we take that the first term is a1, diference d=1, n-th term is an= a1+ (n-1)d and the sum of the first n terms of the arithmetic sequence is Sn= n/2(a1+an)
Now we don't know the value of the first term but 25-th term is
a25 = a1+(25-1) · 1 = a1+24 => a25=a1+24
The average value of the n-th terms is Sn/n = (n/2(a1+an))/n = 1/2(a1+an)
average value of the 25-th terms is 1/2(a1+a1+24) = 1/2(2a1+24)
That average value is equal to the square of the first term
1/2(2a1+24) = a1∧2 => a1+12 = a1∧2 => a1∧2 - a1 -12 = 0
Now we will factorize this quadratic equation
a1∧2 -4a1 + 3a1 -12 = 0 => (a1∧2 - 4a1) + (3a1 -12) = a1(a1-4) + 3(a1-4) =>
(a1-4) (a1+3) = 0 => a1 - 4 = 0 or a1 + 3 = 0 => a1 = 4 or a1 = -3
because you want the least possible value of the last ( 25-th) term
we choose a1= -3 and finally we get
a25 = a1+24 = -3 + 24 = 21 => a25 = 21
God with you!!!
Answer:
0
Step-by-step explanation:
The slope of a line is a measure of its "steepness." To make that more precise, it's the rate of change of its vertical and horizontal coordinates, its
, where Δ means "change in"
This never changes its y coordinate, so we could say its slope is 
, or just 0.
The areas of the smaller pieces are 8, 20, 40, and 100. So to find the area we need to add them together, so the area is 168 cm2
Answer:
Y=7x
Step-by-step explanation:
-2y=5x
+2 +2
y=7x
That's all you have to do, simple.
