Answer:
The answer is D. 259
Step-by-step explanation:
Step 1: [tex]\sum _{n=4}^{10}5n+2[/tex]
Step 2: [tex]\sum _{n=1}^{10}5n+2-\sum _{n=1}^35n+2[/tex]
Step 3:
[tex]\sum _{n=1}^{10}5n+2=\sum _{n=1}^{10}5n+2-\sum _{n=1}^35n+2\\\sum _{n=1}^{10}5n+2=295[/tex]
[tex]\sum _{n=1}^35n+2=\sum _{n=1}^35n+\sum _{n=1}^32=36\\[/tex]
Step 4: [tex]295-36=259[/tex]
