Question

Write an explicit formula for an, the nth term of the sequence 28,34,40

Answer 1

The explicit formula for the nth term of the sequence 28, 34, 40 is an = 6n + 22.

Step-by-step explanation:

The explicit formula for the nth term of the sequence 28, 34, 40 is an arithmetic sequence formula, which can be written as an = a1 + (n - 1)d, where a1 is the first term and d is the common difference between the terms. For the sequence given, a1 = 28 and d = 34 - 28 = 6. Therefore, the explicit formula is an = 28 + (n - 1) × 6 or simplified an = 6n + 22.

Answer 2

The explicit formula for the nth term (an) of the arithmetic sequence 28, 34, 40 is an = 6n + 22.

Step-by-step explanation:

The sequence given is 28, 34, 40, which suggests it is an arithmetic sequence with a common difference of 6 (34 - 28 = 40 - 34 = 6). To find the explicit formula for the nth term (an) of the sequence, we use the arithmetic sequence formula: an = a1 + (n - 1)d, where a1 is the first term, n is the term number, and d is the common difference between the terms.

In this case, a1 = 28 and d = 6, so the formula becomes: an = 28 + (n - 1)6. Simplifying this, it becomes an = 6n + 22.