Answer:
Tn = 2Tn-1 - Tn-2
Step-by-step explanation:
Before we can generate the recursive sequence, we need to find the nth term of the given sequence.
nth term of an AP is given as:
Tn = a+(n-1)d
If a17 = -40
T17 = a+(17-1)d = -40
a+16d = -40 ...(1)
If a28 = -73
T28 = a+(28-1)d = -73
a+27d = -73 ...(2)
Solving both equations simultaneously using elimination method.
Subtracting 1 from 2 we have:
27d - 16d = -73-(-40)
11d = -73+40
11d = -33
d = -3
Substituting d = -3 into 1
a+16(-3) = -40
a - 48 = -40
a = -40+48
a = 8
Given a = 8, d = -3, the nth term of the sequence will be
Tn = 8+(n-1) (-3)
Tn = 8+(-3n+3)
Tn = 8-3n+3
Tn = 11-3n
Given Tn = 11-3n and d = -3
Tn-1 = Tn - d... (3)
Tn-1 = 11-3n +3
Tn-1 = 14-3n
Tn-2 = Tn-2d...(4)
Tn-2 = 11-3n-2(-3)
Tn-2 = 11-3n+6
Tn-2 = 17-3n
From 3, d = Tn - Tn-1
From 4, d = (Tn - Tn-2)/2
Equating both common difference
(Tn - Tn-2)/2 = Tn - Tn-1
Tn - Tn-2 = 2(Tn - Tn-1)
Tn - Tn-2 = 2Tn-2Tn-1
2Tn-Tn = 2Tn-1 - Tn-2
Tn = 2Tn-1 - Tn-2
The recursive formula will be
Tn = 2Tn-1 - Tn-2
If x is the number of berries you can buy with 1 dollar,
1 pound of blueberries = $4.00
x pound of berries = $1.00
Lets set up a proportion- because these are directly proportional- when there is more pounds of berries, it will cost more.
Cross multiply
4x=1
Divide both sides by 4 to isolate x
x=1/4 or $0.25
That's correct.
She will need to travel 244 miles a week for 9 weeks.
Answer:
B. 2/3
Step-by-step explanation:
0 is less than 1 but not greater than 0.
1 isn't less than 1 but is greater than 0.
3/2 is actually 1.5. 1.5 isn't less than 1 but is greater than 0.
The correct answer is 2/3 because:
2/3 is less than 1 whole.
2/3 is greater than 0.
Hope this helps.
Answer:
What is the radius and diameter of the following circle? 5.1 cm radius= diameter=
