Posts Tagged ‘arithmetic means’

Problem 735

Write the arithmetic sequence that has three arithmetic means between -16 and 16.

 

Solution:-

 

an  and a1 are given. Find the common difference by using the explicit formula for arithmetic sequences: an = a1 + (n-1)d.

-16, -8, 0 , 8, 16.

 

Problem 636

Find the four arithmetic means between 100 and 135.

 

Solution:-

 

In the question first term 100
sixth term 135
a + 5d = 135
100 + 5d = 135
5d = 135 – 100 = 35
d = 7

So the arithmetic mean.
107, 114, 121, 128

 

Problem 635

Find the four arithmetic means between -21 and -36.

 

Solution:-

 

In the question first term -21
sixth term -36
a + 5d = -36
-21 + 5d = -36
5d = -36 + 21 = -15
d = -3

So the arithmetic means are
-24, -27, -30, -33