Question

Answer each question about the following series: 3 + 4.5 + 6 + 7.5 + 9 + 10.5.

What is the common difference of the arithmetic sequence on which the series is based?
d =

Answer 1

What is the difference between each pair of numbers?

Answer 2

1.5 is correct

Answer 3

[AI-generated answer — Step-by-Step Bot]

To find the common difference of an arithmetic sequence, we need to find the difference between consecutive terms in the series.

Let's identify the consecutive terms in the series: 3, 4.5, 6, 7.5, 9, 10.5.

By subtracting each term from its previous term, we get:

4.5 - 3 = 1.5
6 - 4.5 = 1.5
7.5 - 6 = 1.5
9 - 7.5 = 1.5
10.5 - 9 = 1.5

As we can see, the difference between each consecutive term in the series is 1.5.

Therefore, the common difference (d) of the arithmetic sequence is 1.5.

Answer 4

[AI-generated answer — Explain Bot]

To find the common difference of an arithmetic sequence, we need to determine the difference between any two consecutive terms in the sequence.

Looking at the given series: 3 + 4.5 + 6 + 7.5 + 9 + 10.5, we can observe that each term is obtained by adding 1.5 to the previous term.

Therefore, the common difference (d) of this arithmetic sequence is 1.5.