Miguel has started training for a race. the first time he trains, he runs 0.5 mile. each subsequent time he trains, he runs 0.2 mile farther than he did the previous time.

a) what is the arithmetic series that represents the total distance miguel has run after he has trained n times?

b) a marathon is 26.2 miles. what is the least number of times miguel must run for his total distance run during training to exceed the distance of a marathon?

a)

b) 15

Step-by-step explanation:

The first time Miguel trains, he runs 0.5 mile, so

Each subsequent time he trains, he runs 0.2 mile farther than he did the previous time, so

Use the formula for nth term of arithmetic sequence

a) The sum of n terms of the arithmetic sequence is

b) A marathon is 26.2 miles, then

Since n is positive and , the least number of times Miguel must run for his total distance run during training to exceed the distance of a marathon is -2+17=15

the population of other specie of birds will decline or other specie of birds will find some alternate source of food to survive.

explanation:

according to the competitive exclusion principle, which is also known as gause's law, two specie living in the same niche and feeding on the same resource cannot co-exist stably.

as we have well studied the theory of natural selection which states that only those organisms survive which have better tendency to compete for food and adapt to the environmental conditions.

coming towards the question, what wi ll happen when one species outcompetes the other for the small fish , the other specie will not get enough food and will start to die or decline in population. eventually either other specie needs to find another alternative food source for itself or migrate at some other location where there is less competition otherwise it will just not exist anymore at that niche.

hope it !

the answer is d

step-by-step explanation: