The fourth term of arithmetic sequence is 18 and the sixth term is 28. Give the next three terms.
there are two steps between 18, and 28, so the step is 5.
next terms: 33, 38,43,48
To find the next three terms of an arithmetic sequence, we first need to determine the common difference (d).
The common difference (d) is the constant amount by which each term in the sequence increases or decreases. We can find the common difference (d) by subtracting the fourth term from the sixth term:
28 - 18 = 10
So, the common difference (d) is 10.
Now that we know the common difference (d), we can find the next three terms by adding the common difference to the last given term (the sixth term, which is 28).
The next term would be:
28 + 10 = 38
The term after that would be:
38 + 10 = 48
And the term after that would be:
48 + 10 = 58
Therefore, the next three terms of the arithmetic sequence are 38, 48, and 58.