Question

insert 5 arithmetic means between -9 and 19

Answer 1

Answer:

-9 A, B, C, D, E 19

C =( 19-9)/2

= 10/2

= 5

A = (B - 9)/2

2A = B -9

B - 2A = 9. ------(1)

D = (5 + E )/2

2D = 5 + E

2D - E = 5 --------(2)

E = ( D + 19)/2

2E = D+19

2E - D = 19 --------(3)

from eq (2) and (3)

2D - 5 =( D +19)/2

4D - 10 = D + 19

3D = 29

D = 29/3

now E = (29/3+ 19)/2

= (29 + 57)/6

= 86/6

= 43/3

C = (B + D)/2

5 = (3B + 29)/6

30 = 3B + 29

30 - 29 = 3B

B = 1/3

Now A = (B - 9)/2

= (1/3 - 9) /2

= ( 1 - 27)/6

= - 26/6

= -13/3