Answer:

Step-by-step explanation:
Method 1:
Arithmetic sequence is in the form

d is the common difference, can be found by:

Subtituting the
and 
You get:

Method 2 (Mathematical induction):
Assume it is in form 
Base step: 
Inducive hypophesis: 
GIven: 

Proved by mathematical induction

Answer:
m=4
Step-by-step explanation:
−9(m+3)+14=−49
Step 1: Simplify both sides of the equation.
−9(m+3)+14=−49
(−9)(m)+(−9)(3)+14=−49(Distribute)
−9m+−27+14=−49
(−9m)+(−27+14)=−49(Combine Like Terms)
−9m+−13=−49
−9m−13=−49
Step 2: Add 13 to both sides.
−9m−13+13=−49+13
−9m=−36
Step 3: Divide both sides by -9.
−9m
−9
=
−36
−9
m=4
4pi/2pi = x/360
use a proportion
2 radians equals 360 degrees
x = 720 degrees
9514 1404 393
Answer:
x = y + 360n, for any positive integer n
Step-by-step explanation:
Since x is greater than y, something must be added to y to get x. Angles have the same co-terminal ray at multiples of 360°. Then the amount added to y must be some multiple of 360°:
x = y + 360n . . . . . for positive integer n