Question

What is the general rule for the sequence 1.11, 2.54, 3.97, 5.40, ...?

A.a_n = 1.43n - 0.32
B.a_n = 1.11n + 1.43
C.a_n = 1.11n
D.a_n = 1 + 0.11n

Answer 1

The general rule for the sequence 1.11, 2.54, 3.97, 5.40, ... is a_n = 1.43n - 0.32 (option A is the correct answer)

Step-by-step explanation:

The general rule for the sequence 1.11, 2.54, 3.97, 5.40, ... is an = 1.43n - 0.32.(option A is the correct answer)

To find the general rule, we can see that each term in the sequence is increasing by 1.43 and is being shifted down by 0.32. So, we can express the rule as an = 1.43n - 0.32.

For example, when n = 1, a1 = 1.43(1) - 0.32 = 1.11. When n = 2, a2 = 1.43(2) - 0.32 = 2.54, and so on. above mentioned general rule can be use to find out the correct sequence of above options,