Answer: there will be 517262 butterflies by the 19th generation.
Step-by-step explanation:
The population of butterflies grows in such a way that each generation is simply 1.5 times the previous generation. This means that the population is increasing in geometric progression. We would apply the formula for determining the nth term of a geometric progression which is expressed as
Tn = ar^(n - 1)
Where
a represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms.
From the information given,
a = 350
r = 1.5
n = 19
Therefore, the 19th term or generation, T19 would be
T19 = 350 × 1.5^(19 - 1)
T19 = 350 × 1.5^18
T19 = 517262
