Answer:
<h3>The nth term
Tn = -8(-1/4)^(n-1) or Tn = 6(1/3)^(n-1) can be used to find all geometric sequences</h3>
Step-by-step explanation:
Let the first three terms be a/r, a, ar... where a is the first term and r is the common ratio of the geometric sequence.
If the sum of the first two term is 24, then a/r + a = 24...(1)
and the sum of the first three terms is 26.. then a/r+a+ar = 26...(2)
Substtituting equation 1 into 2 we have;
24+ar = 26
ar = 2
a = 2/r ...(3)
Substituting a = 2/r into equation 1 will give;
(2/r))/r+2/r = 24
2/r²+2/r = 24
(2+2r)/r² = 24
2+2r = 24r²
1+r = 12r²
12r²-r-1 = 0
12r²-4r+3r -1 = 0
4r(3r-1)+1(3r-1) = 0
(4r+1)(3r-1) = 0
r = -1/4 0r 1/3
Since a= 2/r then a = 2/(-1/4)or a = 2/(1/3)
a = -8 or 6
All the geometric sequence can be found by simply knowing the formula for heir nth term. nth term of a geometric sequence is expressed as
if r = -1/4 and a = -8
Tn = -8(-1/4)^(n-1)
if r = 1/3 and a = 6
Tn = 6(1/3)^(n-1)
The nth term of the sequence above can be used to find all the geometric sequence where n is the number of terms
One temperature colder that -7.2 F would be -9 F.
-9 < -7.2
The -9 would be 1.8 units to the left of -7.2 on the number line.
3 11/12 is the answer. 47.02 equals 47/12 as a fraction if you divide 47 by 12 you will get 3 with a remainded of 11/12. Therefore, the mixed number is 3 11/12
Answer:
first one
Step-by-step explanation:
Answer:
The standard deviation of given probability distribution is 0.767.
Step-by-step explanation:
We are given the following information in the question:
X: 0 1 2 3 4
P(x): 0.4521 0.3970 0.1307 0.0191 0.0010
Formula:
Formula:
The standard deviation of given probability distribution is 0.767.
