Answer:

Step-by-step explanation:
we are given
sequence is geometric
so, we can use nth term formula

we have


we have to find a9
so, we can plug n=9
we get



Solving the inequality
the value of q is 
Step-by-step explanation:
We need to solve the inequality:
and find value of q
Solving:

So, solving the inequality
the value of q is 
Keywords: Solving inequality
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Answer:
Total number of ways are 336.
Step-by-step explanation:
It is required to find the number of ways in which we can award a 1st, 2nd and 3rd place prize among eight contestants. It means we need to find the number of permutations. We need to find
.
Here, r = 3
So,

So, there are 336 ways.