Answer:
an = 1/4(8)^n-1
Step-by-step explanation:
Given the following in a geometric sequence, a2=2, a3=16, and a4=128.
nth term of a sequence = ar^n-1
a is the first term
r is the common ratio
r = a3/a2 = a4/a3
r = 16/2 = 128/16
r = 8
a2 = ar
2 = 8a
a = 2/8
a = 1/4
The nth term by substituting the parameters will be;
an = 1/4(8)^n-1
5/3 is as simplified as it gets :)
Probability of getting the correct answer in the first question is 1/4
probability of getting the correct answer in the second question is 1/4
probability of getting the correct answer in the second question is 1/4 the probability that he gets one question wrong is 3/4
which is 1/4*1/4*1/4*3/4=3/256
for the four questions because he may get the first answer correct and my be the second question wrong, or the the third wrong and the other correct or the first wrong and others correct we should take care of all this by
multiplying 3/256*4=12/256
=0.046875
in three decimal places we have 0.047
Answer:
Step-by-step explanation:
Two numbers r and s sum up to \frac{1}{2} exactly when the average of the two numbers is \frac{1}{2}*\frac{1}{2} = \frac{1}{4}. You can also see that the midpoint of r and s corresponds to the axis of symmetry of the parabola represented by the quadratic equation y=x^2+Bx+C.
A)1:2
b)21:2
c)6:44 or 3:22
d)2:5
