Answer:
Please read the answers below.
Step-by-step explanation:
Let's calculate the four means between -21 and -36, this way:
1. Arithmetic mean:
(-21 + -36)/2 = -57/2 = -28.5
2. Weighted mean:
We will assign equal weight to both numbers : 5
(-21 * 5 + -36 * 5)/10 = (-105 + -180)/10 = -285/10 = -28.5
3. Geometric mean:
√-21 * -36 = √756 = 27.5 (Rounding to the next tenth)
4. Harmonic mean:
2/(1/-21 + 1/-36) = 2/(-0.0476 + -0.0277) = -26.6 (Rounding to the next tenth)
Answer: - 24 , - 27 , - 30 , - 33
Step-by-step explanation:
Let the arithmetic means be p , q , r , s. The sequence then becomes :
-21 , p , q , r , s , -36
where :
The first term (a ) = - 21
common difference(d ) = ?
number of terms (n ) = 6
Last term (L) = -36
We will use the formula ; L = a + (n - 1 ) d to find the value of d , that is
- 36 = - 21 + ( 6 - 1 ) d
-36 + 21 = 5d
- 15 = 5d
Therefore :
d = -3
we will then use the value of d to find p , q , r and s.
p is the second term , that is
p = a + d
p = -21 + (-3)
p = -21 - 3
p = -24
q = a + 2d
q = - 21 +2(-3)
q = -27
r = a + 3d
r = - 21 + 3 (-3)
r = -30
s = a+ 4d
s = - 21 + 4 ( -3 )
s = -33
Therefore : the arithmetic means are ; - 24 , - 27 , - 30 , - 33
