Agroup of students is arranging squares into layers to create a project. the first layer has 5 squares. the second layer has 10 squares. which formula represents arithmetic explicit formula to determine the number of squares in each layer?
a. a1 = 5; an = 5 ⋅ an − 1, n > 0
b. a1 = 5; an = 5 ⋅ an + 1, n > 0
c. a1 = 5; an = 5 + an − 1, n > 0
d. a1 = 5; an = 5 + an + 1, n > 0

Explanation:

All the shown formulae in the choice list are recursive formulae instead of explicit formulae.

Explicit formulae that represent arithmetic sequences are of the form:

That kind of formula permits to determine any term knowing the first term, the number of the term searched, and the common difference (d).

On the other hand, the recursive formulae let you to calculate one term knowing the previous term and the difference.

In this case, the difference in the number of squares of two consecutive terms is:

Then, the recursive formula is:

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 !

16.80 times .20= 3.36

step-by-step explanation: