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5) Insert four geometric means between 4 and 972.​

Sagot :

Answer :

The answer is 324

Step-by-step explanation:

Let ×1 . ×2,×3,×4 are four Geometric means

between 4 and 972

First term = 9=4

Six term = 96 = 972

Common ratio =r

ar^5=972

4r^5=972

r^5=972/4

r^5=243

r^5=3^5

therefore

r=3

Now

required 4 terms are

×1=ar =4×3=12

×2=ar2=4×32=36

×3=ar3=4×33=132208

×4=ar^4=4×3^4=324

I HOPE IT'S HELP