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
Answer:
The question that you have posed is rather interesting. However, it indicates a misunderstanding of the nature of civil/human rights as they are currently framed.
Step-by-step explanation:
The key thing to recall is that human and civil rights are, for the most part, individual rights, as opposed to group/societal rights. See, for example, the USA Bill of Rights, European Convention on Human Rights, Universal Declaration, and the International Covenant on Civil and Political Rights. Therefore, there is no greater societal sum equation to assess when looking at high rights. Indeed, individuals from minorities are often given special protections within human rights treaties/regimes.
However, it should not be forgotten that many rights are not inalienable, for example the right to family life, or freedom of expression. In these instances the right may be legitimately violated, if, on balance it is required to protect another individuals human right (note that it's individual as opposed to societal), or if it is deemed proportionate to violate that right (eg, to detain an individual because they have breached a provision of criminal law). But, it must be noted that this has nothing to do with minorities or majorities.
The often cited reason for this formulation is that the majority of the human rights treaties mentioned above emerged following the atrocities of the Second World War. In this regard, it must be recalled that one of the underlying philosophical beliefs of he Nazi regime related to the greater good of society, with it being perfectly permissible to violate the rights of one in order to further the welfare of others.
9514 1404 393
Answer:
16
Step-by-step explanation:
The largest square is 7-2 = 5 ratio units larger than the smaller square. Hence, each ratio unit stands for (10 cm)/5 = 2 cm. The side length of the smaller square is 2(2 cm) = 4 cm. The perimeter is 4 times that: 16 cm.
The perimeter of the smallest square is 16 cm.
Rice vinegar is 1.5 units out of 1.5 + 5 = 6.5 units of vinegar. So in 17 ounces of the mixture, the amount of rice vinegar will be
Answer: 3.9 ounces of rice vinegar
Answer:
x = 70.71
Step-by-step explanation:
log 2x² + 2 = 6.
log 2x² + log 100= log 10⁶.
2x² × 100 = 10⁶
2x² = 10⁶/100
2x² = 10⁴
x² = 10⁴/2
x² = 5000
x = √5000
x is approximately 70.71
x = 70.71
