Final answer:
The first five terms of the arithmetic sequence with a first term of 28 and a common difference of 7 are 28, 35, 42, 49, and 56.
Step-by-step explanation:
An arithmetic sequence is a sequence of numbers in which the difference between any two consecutive terms is constant. In this case, the first term is 28 and the common difference is 7.
To find the first five terms, we can use the formula for the nth term of an arithmetic sequence: an = a1 + (n-1)d, where an represents the nth term, a1 represents the first term, n represents the position of the term, and d represents the common difference.
For this sequence, we substitute the given values into the formula:
- a1 = 28
- d = 7
- n = 1, 2, 3, 4, 5
Substituting these values into the formula, we can calculate the first five terms as follows:
- a1 = 28
- a2 = 28 + (2-1) * 7 = 35
- a3 = 28 + (3-1) * 7 = 42
- a4 = 28 + (4-1) * 7 = 49
- a5 = 28 + (5-1) * 7 = 56
Therefore, the first five terms of the given arithmetic sequence are 28, 35, 42, 49, and 56.