Answered

IDNStudy.com, ang iyong mapagkukunan para sa mga sagot ng eksperto. Ang aming mga eksperto ay nagbibigay ng mabilis at eksaktong sagot upang tulungan kang maunawaan at malutas ang anumang problema.

if three arithmetic means are inserted between -15 and 9,find the first of these arithmetic means.

Sagot :

Add -15 and 9, then divide by 2.

The result is -6/2 = -3

-15, ____, -3, _____, 9

Add -15 and -3, then divide by 2

The result is -18/2 = -9

The common difference:
-9 - (-15) = -9 + 15 = 6

So, add 6 to -15, =-9
      add 6 to -9 =  -3
       add 6 to -3 = 3
       
These are the three missing terms between  -15 and 9.

-15, -9, -3, 3, 9

The first of the arithmetic means is -9.

Hmmmm.

-15 _ _ _ 9
There are 5 numbers
First you will find the d or the common difference
The formula is
An=A1 + (n-1)d
A5= -15 + (5-1)d
9 = -15 + 4d
9+15 =4d
24=4d
Divided both by 4
6 = d

Then add it

A1 =-15
A2=-15+6 =-9
A3=-9 + 6=-3
A4=-3 + 6 = 3
A5= 3 + 6 = 9
Then the sequence is -15, -9, -3, 3, 9



I hope it helps...