I don’t see any multiple choice but d3 -343 is factored as (d-7)(d^2+7d+49)
Answer:
There were 10 flies originally
Step-by-step explanation:
Since we have an exponential growth, we will be having a constant percentage of increase and we can set up the increase at any day using the following equation;
V = I(1+r)^d
where V is the number of flies on a particular day
I is the initial number of flies
r is the constant increase in percentage
and d is the number of days.
So we have for the second day;
60 = I(1+r)^2 ••••••(i)
For the fourth day, we have;
360 = I(1+r)^4 ••••••••(ii)
divide equation ii by i; we have;
360/60 = (1+r)^4/(1+r)^2
6 = (1+r)^2
(√6)^2 = (1+r)^2
1 + r = √6
r = √6 - 1
So we can substitute the value of r in any of the equations to get I which is the initial number of flies
Let’s use equation 1
60 = I(1 + r)^2
60 = I(1 + √6 -1)^2
60 = I(√6)^2
60 = 6I
I = 60/6
I = 10 flies
The value of the term in the series will be equal to 3 + 12 +48 + 192 after calculation.
<h3>What is summation?</h3>
In mathematics, the summation is the addition of a sequence of any kind of numbers, called addends or summands.
Now we have a given term
By solving the above term;
Hence the value of the term in the series will be equal to 3 + 12 +48 + 192 after calculation.
To know more about Summation follow
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