12, 6, 3, 1.5 common ratio
2 answers:
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Answer:
d ≈ 6.41
Step-by-step explanation:
Given that F is inversely proportional to d² then the equation relating them is
F = ← k is the constant of proportion
To find k use the condition when F = 8, d = 6 , then
8 = =
( multiply both sides by 36 )
288 = k
F = ← equation of proportion
When F = 7 , then
7 = ( multiply both sides by d² )
d² × 7 = 288 ( divide both sides by 7 )
d² = ( take the square root of both sides )
d = ± ≈ ± 6.41
The positive value of d is 6.41 ( to 2 dec. places )