1.

Four geometric means between 4 and 972 are (a) 12, 36, 108, 324 (b) 12, 24, 108, 320 (c) 10, 36, 108, 320 (d) none of these ​

Answer»

Answer:

let ×1, × 2 ,×3 ,×4 are

four Geometric means

Between 4 and 972

First TERM = 9=4

Six term = a6 =974

common RATIO = r

ar^5 =972

4r^5=972

r^5=972/4

r2 ^5=243

r^5= 3^5

therefore

r=3

Now

required 4 TERMS are

× 1=ar=4×3=12

×2=ar2=4×3 2=36

×3=ar3 =4×3´3=108

×4 =ar^4=4×3^4=324


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