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
OK SURE WHAT IS IT? SO I CAN ANSWER YOUR QUEST.?
Answer: B
4x^{6} - 2x^{5} + 4x^{3} -x^{2} +4x
Step-by-step explanation:
Answer:
0.16
Step-by-step explanation:
Given the data:
Students __ `Gr_9 __Gr_10 __ G_11 __G_12
Frequency : 152 ___130 ______ 80 ___98
The probability is :
Frequency of grade 11 / number of trials
80 / 500
Answer: No. The two frames does not have the same ratio of white shells to orange shells.
Step-by-step explanation:
Ryan glued 9 white shells and 15 orange shells to the border of his frame. This will give us a fraction of:
9/15 = 3/5
The ratio is 3:5
Russell glued 8 white shells and 10 orange shells to the border of his frame. This will give us a fraction of:
= 8/10 = 4/5
The ratio will be 4:5.
Therefore, the two frames does not have the same ratio of white shells to orange shells.
