Answer:
- f[1] = 3
- f[n] = 2·f[n-1] +4
- 108
Step-by-step explanation:
We observe that first differences of the given numbers are ...
10 -3 = 7
24 -10 = 14
52 -24 = 28
That is, each difference is 2× the previous one. This suggests an exponential relation that has a base of 2.
We notice that doubling a term doesn't give the next term, but gives a value that is 4 less than the next term. So, we can get the next term by doubling the previous one and adding 4.
Then our recursive relation is ...
f[1] = 3 . . . . the first term
f[n] = 2×f[n-1] +4 . . . . double the previous term and add 4
The next term is 2·52 +4 = 108.
Find the area of the circle using A=pi * r^2 and then divide that answer by 2 and that will get you the area of the semicircle.
Answer:a2+b2=c2
32+42=52
9+16=25
25=25
Step-by-step explanation:
Answer:
10 cm²
Step-by-step explanation:
The area of a square = s², where s is the measure of the side
To calculate the side use Pythagoras' identity
Consider the lower side with right triangle legs 3 and 1, then
side² = 3² + 1² = 9 + 1 = 10 ( take the square root of both sides )
side = 
, thus
area = ( )² = 10 cm²
Answer:
y = 3/2x + 1
Step-by-step explanation:
y = 3/2x + b
-2 = 3/2(-2) + b
-2 = -3 + b
1 = b
