Final answer:
The sum of the sequence 5n + 2 from n=4 to n=10 is calculated by adding the values of the expression for each integer between 4 and 10 inclusive. The result of this calculation is 259.
Step-by-step explanation:
To evaluate the sum from n equals four to ten of the expression (5n + 2), we need to calculate the value of the expression for each integer value of n from 4 to 10 and sum the results.
- For n=4: 5(4) + 2 = 22
- For n=5: 5(5) + 2 = 27
- For n=6: 5(6) + 2 = 32
- For n=7: 5(7) + 2 = 37
- For n=8: 5(8) + 2 = 42
- For n=9: 5(9) + 2 = 47
- For n=10: 5(10) + 2 = 52
Adding all these values together: 22 + 27 + 32 + 37 + 42 + 47 + 52 = 259. So, the correct answer is 259, which corresponds to option d.