Find the pattern and use inductive reasoning to predict the next number in the sequence 100,50,80,40,70,35,…
1 answer:
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Answer:
a : b : c = 12 : 10 : 15
Step-by-step explanation:
Given that: b = of c
i.e b = ............... 1
2c = 5b
So that;
c = .................... 2
Also,
4a = 3c
a = ................ 3
⇒ a = × (
)
a = ................. 4
15b = 8a
b = ................. 5
Comparing the derived equations:
From equations 2 and 3,
a:c = :
= 4:5
From equations 1 and 2,
b:c = :
= 2:3
But a common value of b = 15, gives;
a : c = 12 : 15 and b : c = 10 : 15
Thus, a : b : c = 12 : 10 : 15