Answer:
Real numbers are "closed" under multiplication
Irrational numbers are "not closed" under division
Integers are "closed" under subtraction
Positive ration numbers are "closed"
Hope this helps! :)
Answer:
Interest would be $15 every 3 years
Step-by-step explanation:
Interest = Principal x Rate x Time
Interest = 100 x 5% x 3
Interest = 5 x 3
Interest = 15
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:
-63, 38
Step-by-step explanation:
1st number = x
2nd number = x+101
x+x+101=-25
2x=-126
x=-63
1st number = x = -63
2nd number = x+101 = 38
To round to the nearest hundred, look at the tens place value. It is a 5. Remember that if the number is 5 or higher, round up, if 4 and lower, round down.
6254 rounded to the nearest hundred is 6300
6300 is your answer
hope this helps
