Given that

<u>Find the nth term:
</u>



<u>Find the 100th term:</u>

<u>Find the Sum:</u>
Answer:
16
Step-by-step explanation:

Answer: ln ( 40) *100
Step-by-step explanation:
Substituting 140 in the equation,
140 = 100 + e^(.01q)
40 = e^(.01q)
Take the natural log of bot hsides
ln ( 40) = .01q
q= ln ( 40 ) * 100
Answer:


Step-by-step explanation:
We are given that there is an exponential decay.
Also, the decrease is of constant rate 7.9% i.e. 0.079 each year.
Since, the initial amount of the species is atleast 26 million.
Thus, the inequality for the corresponding model will be,
,
where t is the time period for the decay and P is the population.
Moreover, is is given that the population cannot be less than 2 million.
So, we get,
.
Hence, the inequalities to determine the possible number of insects over time are given by,

.
Answer:
2
Step-by-step explanation: