A recursive sequence is a sequence of numbers whose values are determined by the numbers that come before them in the sequence.
We’re given a sequence whose (n + 1)-th term f(n + 1) depends on the value of the n-th term f(n), specified by the recursive rule
f(n + 1) = -4 f(n) + 3
We’re also given the 1st term in the sequence, f(1) = 1. Using this value and the recursive rule, we can find the next term f(2). (Just replace n with 1.)
f(1 + 1) = -4 f(1) + 3
f(2) = -4 • 1 + 3
f(2) = -1
We do the same thing to find the next term f(3) :
f(2 + 1) = -4 f(2) + 3
f(3) = -4 • (-1) + 3
f(3) = 7
One more time to find the next term f(4) :
f(3 + 1) = -4 f(3) + 3
f(4) = -4 • 7 + 3
f(4) = -25
Answer:
tobin should have divided by three
Step-by-step explanation:
Answer:
![196 m^{2}](https://tex.z-dn.net/?f=196%20m%5E%7B2%7D)
Step-by-step explanation:
A square is a <u>shape that which all sides are equal</u>
<em>14 is one side of the square and to find the area of a square/rectangle, you do </em><u><em>length*width </em></u>
14*14=196
Three thousand three hundred and seventy eight
Answer:
![y=2x-4](https://tex.z-dn.net/?f=y%3D2x-4)
Step-by-step explanation:
Let the equation of line is
, where
is the slope of the line.
It passes through
.
(<em>Slope of the line</em> joining
)
Hence slope of the given line
![m=\frac{-8(-14)}{-2-(-5)}=\frac{-8+14}{-2+5}=\frac{6}{3}=2](https://tex.z-dn.net/?f=m%3D%5Cfrac%7B-8%28-14%29%7D%7B-2-%28-5%29%7D%3D%5Cfrac%7B-8%2B14%7D%7B-2%2B5%7D%3D%5Cfrac%7B6%7D%7B3%7D%3D2)
Equation of line is: ![y=2x+b](https://tex.z-dn.net/?f=y%3D2x%2Bb)
The line passes through ![(1,-2)](https://tex.z-dn.net/?f=%281%2C-2%29)
![-2=2\times 1+b\\b=-2-2\\b=-4](https://tex.z-dn.net/?f=-2%3D2%5Ctimes%201%2Bb%5C%5Cb%3D-2-2%5C%5Cb%3D-4)
Check if
is on the line ![y=2x-4](https://tex.z-dn.net/?f=y%3D2x-4)
![L.H.S.=-14\\R.H.S.=2\times (-5)-4=-10-4=-14\\L.H.S.=R.H.S.](https://tex.z-dn.net/?f=L.H.S.%3D-14%5C%5CR.H.S.%3D2%5Ctimes%20%28-5%29-4%3D-10-4%3D-14%5C%5CL.H.S.%3DR.H.S.)
Hence line passes through
.
Check if
is on the line ![y=2x-4](https://tex.z-dn.net/?f=y%3D2x-4)
![L.H.S.=-8\\R.H.S.=2\times (-2)-4=-4-4=-8\\L.H.S.=R.H.S.](https://tex.z-dn.net/?f=L.H.S.%3D-8%5C%5CR.H.S.%3D2%5Ctimes%20%28-2%29-4%3D-4-4%3D-8%5C%5CL.H.S.%3DR.H.S.)
Hence line passes through
.