Question

In an arithmetic sequence, the first term, a1, is equal to 3, and the fourth

term, a4, is equal to 33. Which number represents the common difference of
the arithmetic sequence?

Answer 1

The common difference of the arithmetic sequence with the first term of 3 and the fourth term of 33 is 10.

Step-by-step explanation:

In an arithmetic sequence, the common difference (d) is the constant amount we add to each term to get the next term. Given the first term, a1=3, and the fourth term, a4=33, we can find the common difference using the formula for the nth term of an arithmetic sequence: an = a1 + (n-1)d.

Let's apply this formula to find the common difference:

a4 = a1 + 3d,

33 = 3 + 3d,

30 = 3d,

d = 30/3,

d = 10.

Therefore, the number representing the common difference of the arithmetic sequence is 10.

Answer 2

a4=a1+(n-1)d

33=3+3d

30=3d

d=30/3

d=10