If $1000 is invested at 8% interest, compounded annually, then after n years the investment is worthan = 1000(1.08)ndollars.(a) find the first five terms of the sequence {an}. (round your answers to the nearest cent.)a1 = $a2 = $a3 = $a4 = $a5 = $(b) is the sequence convergent or divergent?

Diverge

Step-by-step explanation:

(a)

1st year:

2nd year:

3rd year:

4th year:

5th year:

(b) The sequence is divergent, because if we take the derivative of the function with respect to n year:

This is a positive, meaning the slope of the function is positive. If we take the second derivative using product rule

This is also positive when n > 0. Therefore, the slope is positive and increasing. This means the sequence diverges.

easy math just plug in a and b

step-by-step explanation:

the domain of a function is the set of input values, x , for which a function is defined. the domain is shown in the left oval in the picture below. the function provides an output value, f(x) , for each member of the domain.