notasi sigma yang ekuivalen dengan 10 sigma k=1 (3k+2) + 5 sigma k=1 (5k+6) adalah ....

[tex]
\sum_{k=1}^{10}(3k+2)+\sum_{k=1}^5(5k+6)\\
=\sum_{k=1}^5(3k+2)+\sum_{k=6}^{10}(3k+2)+\sum_{k=1}^5(5k+6)\\
=\sum_{k=1}^5(3k+2+5k+6)+\sum_{k=6-5}^{10-5}\left(3(k+5)+2\right)\\
=\sum_{k=1}^5(8k+8)+\sum_{k=1}^5(3k+17)\\
=\sum_{k=1}^5(8k+8+3k+17)\\
=\sum_{k=1}^5(11k+25)
[/tex]