Final answer:
The equation for the nth term of the arithmetic sequence -5, 0, 5, 10... is nth term = -5 + (n-1) * 5. The value of a50 is 240.
Step-by-step explanation:
The given arithmetic sequence is -5, 0, 5, 10... We can see that the common difference between each term is 5, which means that each term is obtained by adding 5 to the previous term. To find the nth term of an arithmetic sequence, we can use the formula: nth term = first term + (n-1) * common difference.
For this sequence, the first term is -5 and the common difference is 5. Plugging these values into the formula, we have: nth term = -5 + (n-1) * 5.
To find a50, we substitute n = 50 into the formula: a50 = -5 + (50-1) * 5. Simplifying this expression, we get a50 = -5 + 49 * 5 = 240. Therefore, the answer is D. 240.