Question

Set up an arithmetic function for the following scenario. Use the function the first ten terms of the sequence. An arithmetic sequence whose first term is -10 and the common difference is -2

Answer 1

The arithmetic function for the given sequence is nth term = -10 + (n-1) × (-2). Using this function, we can find the first ten terms of the sequence.

Step-by-step explanation:

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

For this scenario, the first term is -10 and the common difference is -2.

To find the arithmetic function for this sequence, we can use the formula:

nth term = first term + (n-1) × common difference

Plugging in the values, we have:

nth term = -10 + (n-1) × (-2)

Using this function, we can find the first ten terms of the sequence as follows:

1. n = 1: nth term = -10 + (1-1) × (-2) = -10
2. n = 2: nth term = -10 + (2-1) × (-2) = -12
3. n = 3: nth term = -10 + (3-1) × (-2) = -14
4. n = 4: nth term = -10 + (4-1) × (-2) = -16
5. n = 5: nth term = -10 + (5-1) × (-2) = -18
6. n = 6: nth term = -10 + (6-1) × (-2) = -20
7. n = 7: nth term = -10 + (7-1) × (-2) = -22
8. n = 8: nth term = -10 + (8-1) × (-2) = -24
9. n = 9: nth term = -10 + (9-1) × (-2) = -26
10. n = 10: nth term = -10 + (10-1) × (-2) = -28