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Sidana [21]
3 years ago
15

A sequence is defined recursively by the formula f(n+1)=-2f(n). The first term of the sequence is -1.5. Whis is the next term in

the sequence?
Mathematics
1 answer:
podryga [215]3 years ago
3 0
We are told that f(1) = -1.5, and that f(n+1) = -2f(n).
                                                 Then: f(2) = -2f(1) = -2(-1.5) = +3 (answer)

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Read 2 more answers
A graph displays point A (5, 3, 4) and point B (−4, 2, 6). Calculate the approximate distance each point is from the origin. Rou
SIZIF [17.4K]

Distance from the origin to the points  ≈ 0.41.

<h3>What is the distance between two points ( p,q) and (x,y)?</h3>

The shortest distance (length of the straight line segment's length connecting both given points) between points ( p,q) and (x,y) is:

D = √[(x-p)² + (y-q)²]  

Point A (5, 3, 4) and point B (−4, 2, 6) are located away from the origin (0,0,0), and the points from the origin to this points are expressed as OB - OA where;

Let OB is the distance from the origin to the point B

Let OA is the distance from the origin to the point A

Using the formula for calculating the distance between two points;

OA = √(z2-z1)²+(y2-y1)²+(x2-x1)²

OA = √(4-0)²+(3-0)²+(5-0)²

OA = √(16)+(9)+(25)

OA = √50

OA = 7.071

Similarly;

OB = √(6-0)²+(2-0)²+(-4-0)²

OB = √(6)²+(2)²+(-4)²

OB = √36+4+16

OB = √56

OB = 7.4833

Distance from the origin to the points = 7.4833 - 7.071= 0.4123

Distance from the origin to the points  ≈ 0.41

Learn more about distance between two points here:

brainly.com/question/16410393

#SPJ1

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