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:
2. 10
3. D. 1 for all n
Step-by-step explanation:
2. The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
a^b = 1/a^-b
__
The value of n is 10.
__
3. Using the above rules of exponents, the expression simplifies to ...
6^(-n+n) = 6^0 = 1
The value is 1 for any n.
9514 1404 393
Answer:
6/5
Step-by-step explanation:
The slope formula is useful for finding the slope.
m = (y2 -y1)/(x2 -x1)
m = (-1 -11)/(-5 -5) = -12/-10
m = 6/5
The slope of the line through the given points is 6/5.
