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Given the recursive formula: a1=3 An=2(an-1+1) Find a2 a3 a4

fenix001 [56]

Answer:

$a_2 = 8$

$a_3 = 18$

$a_4 = 38$

Step-by-step explanation:

We are given the following recursive formula:

$a_n = 2(a_{n-1}+1)$

And consider $a_1 = 3$

a2

$a_2 = 2(a_1 + 1) = 2(3 + 1) = 8$

a3

$a_3 = 2(a_2 + 1) = 2(8 + 1) = 18$

a4

$a_4 = 2(a_3 + 1) = 2(18 + 1) = 38$

6 0

3 years ago

Triangles DEF and D'E'F' are shown on the coordinate plane below: . . Triangle DEF and triangle D prime E prime F prime with ord

Brilliant_brown [7]

The correct answer is:
180° rotation.

Explanation: 
Comparing the points D, E and F to D', E' and F', we see that the x- and y-coordinates of each have been negated, but they are still in the same position in the ordered pair. 

A 90° rotation counterclockwise will take coordinates (x, y) and map them to (-y, x), negating the y-coordinate and swapping the x- and y-coordinates.

 A 90° rotation clockwise will map coordinates (x, y) to (y, -x), negating the x-coordinate and swapping the x- and y-coordinates.

Performing either of these would leave our image with a coordinate that needs negated, as well as needing to swap the coordinates back around.

This means we would have to perform the same rotation again; if we began with 90° clockwise, we would rotate 90 degrees clockwise again; if we began with 90° counter-clockwise, we would rotate 90 degrees counterclockwise again. Either way this rotates the figure a total of 180° and gives us the desired coordinates.

4 0

3 years ago

Read 2 more answers

Why is ln natural logarithm?

klemol [59]

I think its because log e is ln so ln is a natural logarithm.

6 0

3 years ago

Read 2 more answers

If Ab = 54, find MC.

AnnyKZ [126]

Answer: