The sequence forms a Geometric sequence as the rule to obtain the value for the next term is by ratio
Term 1: 1000
Term 2: 200
Term 3: 40
From term 1 to term 2, there's a decrease by

From term 2 to term 3, there's a decrease also by

The rule to find the

term in a sequence is

, where

is the first term in the sequence and

is the ratio
So, the formula for the sequence in question is

term =

The sequence is a divergent one. We can always find the value of the next term by dividing the previous term by 5 and if we do that, the value of the next term will get closer to 'zero' but never actually equal to zero.
We can find a partial sum of the sequence using the formula

for -1<r<1
Substituting

and

we have

=

= 1250
Hence, the correct option is option number 1
Multiply -8 on both sides

n + 2 = 32 Subtract 2 on both sides
n + 2 - 2 = 32 - 2
n = 30
Answer:
The total amount he will altogether be: $19360
Step-by-step explanation:
Given
- Amount Borrowed = P = $16,000
- Interest rate = r = 6% = 6/100 = 0.06
- Time period = t = 3.5 years
To determine
- Total Amount altogether = A
Using the formula
I = Prt
substituting the values P = 16,000, r = 0.06, t = 3.5 years
I = 16,000 × 0.06 × 3.5
I = $3360
Thus, the interest amount = $3360
Therefore, the total amount he will altogether:
A = P + I
A = 16,000 + 3360
A = $19360
Therefore, the total amount he will altogether be: $19360