The sum of 1, a, a ^ 2,... A ^ n is

The sum of 1, a, a ^ 2,... A ^ n is

Isn't there a formula for summation of equal ratio sequence?
And S = [1-A ^ (n + 1)] / (1-A)
Sum of equal ratio sequence: 1 + 1 / 2 + 1 / 4 + +Is 1 / 2 ^ n equal to 2-2 / 2 ^ (n + 1) or 2-2 / 2 ^ n
That's N + 1
S=1x(1-1/2^(n+1))/(1-1/2)=2-1/2^n
Sum: SN = 1 + (1 + 12) + (1 + 12 + 14) + [1 + 12 + 14 + +（12）n-1]．
∵1+12+14+… +（12）n-1=1−(12)n1−12=2−12n−1，∴Sn＝2n−(1+12+122+… +12n−1)=2n-1−12n1−12=2n-2+12n−1．
Given a line passing through point P (- 2,2), and the area of triangle formed by two coordinate axes is 1, the equation of the line is obtained
Let the linear equation be x / M + Y / N = 1 (intercept equation), the intercept of x-axis is m, and the intercept of y-axis is n. substitute P (- 2,2) into the equation, - 2 / M + 2 / N = 1, M = 2n / (2-N). (1) the triangle area formed by the line and two coordinate axes s = | m * n | / 2 = 1 | m * n | = 2, (2) substitute (1) into (2), | 2n ^ 2 / (2-N) | = 22n ^ 2
The known function f (x) = 2log2 (2-x) - log2 (AX-2), a ∈ (- ∞, 0) ∪ (1, + ∞)
The known function f (x) = 2log2 (2-x) - log2 (AX-2), a ∈ (- ∞, 0) ∪ (1, + ∞)
(1) Finding the domain of definition of function y = f (x)
(2) If the function y = f (x) has a unique zero point, try to find the value range of A
Which elder brother and elder sister help answer, thank you!
Let (2) ∈ (logax) = (2) ∞ (logax) = (2) ∞ (loga) = (2) = (2) ∞ (loga) = (2) = (2) ∞ (loga) = (2) = (2) ∞ (loga) = (2) ∞ (loga) = (2) = (2) ∞ (loga) = (2) = (,
2-x > 0, and AX-2 > 0,
X2,
If a ∈ (- ∞, 0), then x
Given that the line L passes through the point (- 1, - 1), and the area of the triangle bounded by the two coordinate axes in the third quadrant is 9 / 4, the equation of the line is solved
Let the equation be x / A + Y / b = 1
A and B are intercept
Obviously, a
If log (2) [log (3) (log5, x)] = 0, then x =? Can't turn the corner for a while
log(2)[log(3)(log5 x)]=0,
[log(3)(log5 x)]=1
log5 x=3
x=5^3=125
Given that the area of the triangle formed by the line L and the two coordinate axes is 3, how to find the equation of the line l when the sum of the intercept of L on the two coordinate axes is the smallest?
Let the equation be x / A + Y / b = 1
According to the meaning 1 / 2Ab = 3, the solution is ab = 6
A + B ≥ 2 radical (AB) = 2 radical 6, then a = b = radical 6
The equation is: X / (radical 6) + Y / (radical 6) = 1, that is: x + Y - radical 6 = 0
X + y + radical 6 = 0
How to express the formula a (1) + a (2) * log (x) + a (3) * log (1-x) + a (4) / x + a (5) * x with Matlab m file
As shown in the title
X is a matrix
function y=f(a,x)y=a(1)+a(2)*log(x)+a(3)*log(1-x)+a(4)./x+a(5)*x;
What is the minimum area of a triangle bounded by a straight line L passing through P (2,1) and the positive half axis of two coordinate axes?
O.O