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Step-by-step explanation:
done...I hope this helps
Answer:
186655 geese
Step-by-step explanation:
In this question , the next generation is calculated by multiplying the current generation by 2.2. Let's do a simple math;
1st generation = 3
2nd generation= 3×2.2=6.6
3rd generation=6.6×2.2=14.52
4th generation=14.52×2.2=31.94
5th generation=31.94×2.2=70.28
6th generation= 70.28×2.2=154.61
7th generation=154.62×2.2=340.14
8th generation=340.14×2.2=748.31
9th generation=748.31×2.2=1646.28
10th generation=1646.28×2.2=3621.81
11th generation=3621.81×2.2=7967.98
12th generation=7967.98×2.2=17529.55
13th generation=17529.55×2.2=38565.0
14th generation=38565.0×2.2=84843.02
15th generation=84843.02×2.2=186654.64
=186655 geese
OR
If current generation is calculated as the previous generation multiplied by a factor then you should see that this is an exponential function.In this case
Original number of geese=3
Factor of multiplication is =2.2
Exponential function for first generation is =0
How? see here
So from the above you can derive an expression for 15th generation
You notice for 1st generation , the exponent is 0
For the 2nd generation the exponent is is 1
For the 3rd generation the exponent is 2
Thus for the nth generation the exponent will be n-1
Your expression for nth generation can now be;
For 15th generation