Question

Which of the following is generated by the formula, a = 2n - 4?
A. arithmetic sequence
B. hyperbolic series
C. limited series
D. geometric sequence

Answer 1

the formula a=2n-4, follows a linear equation form of y=mx+c, where m is the slope and c is the y-intercept. This means that the formula has been generated by arithmetic sequence. Arithmetic sequence normally follows a straight line equation form. Hence the answer is:
A] Arithmetic formula.

Answer 2

Correct Ans: Arithmetic Sequence

Using n=1, we get:
$a_{1}=2(1)-4=-2$

Using n=2, we get:
$a_{2}=2(2)-4=0$

Using n=3, we get:
$a_{3}=2(3)-4=2$

Using n=4, we get:
$a_{4}=2(4)-4=4$

If terms are: -2, 0, 2, 4, ...

If we observe the terms we find that each term is 2 more than the previous term. This is a property of Arithmetic Sequence.

Therefore, correct ans is option A. Arithmetic sequence