Question

Insert 4 arithmetic means between 2 and 22.​

Answer 1

Answer:

The four arthmetic means are as follows:-

a+d   = 2 + 4 = 6

a+2d = 2 + 2 x 4 =10

a+3d = 2 + 3 x 4 =14

a+4d = 2 + 4 x 4 =18

Step-by-step explanation:

First of all, arithmetic means the average of a set of numerical values, as calculated by adding them together and dividing by the number of terms in the set.

Coming to the answer,

Let the 4 arithmetic means be a1, a2, a3, a4. The total number of series is 6

The AP is 2 , a+d , a+2d, a+3d, a+4d, 22

n = 6

a = 2

t6 = 22

a + (6-1)d = 22

2 + (5)d = 22

5d = 22 - 2

5d = 20

d = $\frac{20}{5}$

∴d = 4

so , the four arthmetic means are

a+d   = 2 + 4 = 6

a+2d = 2 + 2 x 4 =10

a+3d = 2 + 3 x 4 =14

a+4d = 2 + 4 x 4 =18