Answer:
<em>n</em> - <em>k</em> + 1
Step-by-step explanation:
This is assuming (because you did not say) that <em>n</em> and <em>k</em> are integers and <em>n</em> is greater than <em>k</em>.
Example: from 2 to 5 {2, 3, 4, 5} includes 5 - 2 + 1 = 4 numbers.
Example: from -6 to 4 includes 4 - (-6) + 1 = 11 numbers, namely {-6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4}
No, because 64 does not go into 180 evenly.
The area for a circle with a diameter of 8 cm is 50.24 cm². The area of a circle with a radius of 3 cm is 28.26 cm². 50.24 - 28.26 = 21.98 cm. So the difference is 21.98 cm.
Answer:
See below
Step-by-step explanation:
We shall prove that for all 
. This tells us that 3 divides 4^n+5 with a remainder of zero.
If we let 
, then we have 
, and evidently, 
.
Assume that 
is divisible by 
for 
. Then, by this assumption, 
.
Now, let 
. Then:
Since 
, we may conclude, by the axiom of induction, that the property holds for all 
.
