Question

Insert 4 arithmetic mean between 4 and 324. Plz answer

Answer 1

The A. P. would be 4 a1 a2 a3 a4 324

tn= a +(n-1)d

324 = 4 + (6-1)d

324 = 4 + 5d

324 - 4 = 5d

320 = 5d

d= 320/5

d = 64

Mean between are

4 + 64 = 68

4 + 128 = 132

4 + 192 = 196
4 + 256 = 260


SO 68, 132, 196, 260 ARE THE ARITHMETIC MEAN

Answer 2

Answer:

The four arithmetic mean between 4 and 324 = 68,132,196,260

Step-by-step explanation:

Given,

Two numbers 4 and 324

To find,

4 arithmetic means between 4 and 324

Recall the concept

If a,b,c,d are four arithmetic means between p and q , then

p,a,b,c,d,q are in AP

nth term of an AP = a+(n-1)d, where 'a' is the first term and 'd' is the common difference

Solution

Let a,b,c,d are the four arithmetic means between 4 and 24, then we can say that 4,a,b,c,d,324 are in AP

First term of the AP = a = 4

6th term of the AP = 324

a+5d = 324

4+5d = 324

5d = 320

d = 64

Then,

a =  second term of the AP = a+d = 4+64 = 68

b= third term of the AP = a+2d = 4+2×64 = 132

c = forth term of the AP = a+3d = 4+3×64 = 196

d = fifth term of the AP = a+4d = 4+4×64 = 260

∴The four arithmetic mean between 4 and 324 = 68,132,196,260

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