Question

In a sequence of numbers, a, -98, a - 99.2, -100.4, aₙ - 101.6, and a, - 102.8. Based on this information, which equation can be used to find aₙ, the nth term in the sequence?

a) aₙ = a + (n - 1)(-1.2)
b) aₙ = a - (n - 1)(1.2)
c) aₙ = a - (n - 1)(-1.2)
d) aₙ = a + (n - 1)(1.2)

Answer 1

The equation that can be used to find the nth term in the sequence is aₙ = a + (n - 1)(-1.2).

Step-by-step explanation:

The equation that can be used to find aₙ, the nth term in the sequence, based on the given information is:

aₙ = a + (n - 1)(-1.2)

To determine the equation, we observe that each term in the sequence is obtained by subtracting 1.2 from the previous term. This means that the common difference between each term is -1.2.

The equation aₙ = a + (n - 1)(-1.2) accounts for the common difference and allows us to find any term in the sequence by substituting the respective value of n.