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
Replace x with the given values and solve for y.
The answer is:
f(-3,1),(0,4), (2, 6))
Answer:
it should be 7.35 for each pizza, sorry if it's wrong
Step-by-step explanation:
95.55 divided by 13 is 7.35
Answer:
1.) In rectangle DOTA, DO = OT. 2.) Each angle of a rectangle measures 90°
3.) The pair of opposite sides of a kite is congruent.
4.) The median of a trapezoid is parallel to each base.
5.) Each diagonal of a rhombus bisects opposite angle.
6.) In rectangle BLUE, BL divides it into two congruent triangles,
7.) Two consecutive angles of a parallelogram are supplementary angles.
8.) In a kite, the perpendicular bisector of at least one diagonal is the other diagonal.
9.) A quadrilateral is a parallelogram if one pair of opposite sides is both congruent and parallel
10.) The midsegment of a parallelogram measures one half the sums of the lengths of the bases.
Step-by-step explanation:
