Answer:
year 13
Step-by-step explanation:
franklin's population is growing by 1000 people per year(5% of 20000 is 1000) and Chester is growing by 500 per year so at year 13 franklin will be at 32000 while Chester is at 31500
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
9/10 + 7/100
find the common denominator for 9/10 which is 100
multiply by 10 for 9/10
(9)(10)=90
(10)(10)=100
90/100+7/100
Answer:
97/100
Answer: 63 degrees.
Step-by-step explanation:
7x + 4 +5x+3+2x+5=180 degrees
14x+12=180 -12 Degrees
14x / 14 = . 168 /14
x=12
5(12) +3
63
Uhm i don't understand ;(!!
