Question:
Four numbers are inserted between 4 and 39 so that an ap is formed qith all six numbera . Find those numbers
Answer:
Given, four numbers are inserted between 4 and 39 so that an AP is formed.
Let d is the common difference of the AP
So, the series is
4, 4 + d, 4 + 2d, 4 + 3d, 4 + 4d, 39
First term a = 4
Sixth term = last term = 39
Now, last term of AP is defined as
l = a + (n - 1)d
=> a6 = a + (6 - 1)d
=> a6 = a + 5d
=> 39 = 4 + 5d
=> 5d = 39 - 4
=> 5d = 35
=> d = 35/5
=> d = 7
Now, the numbers are: 4 + d, 4 + 2d, 4 + 3d, 4 + 4d
= 4 + 7, 4 + 2*7, 4 + 3*7, 4 + 4*7
= 11, 18, 25, 32
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