$$\sum_{k=0}^{5}(3j+2)$$
sum is equal to:______
Apparently the answer is 18j+12
How would I get that answer? D:

Question

$$\sum_{k=0}^{5}(3j+2)$$
sum is equal to:______
Apparently the answer is 18j+12
How would I get that answer? D:

anonymous · Answer

i think there is a typo here, but maybe not

anonymous · Answer

since the index is $k$ but there is a $j$ after the sum, this just means multiply $6\times (3j+2)$

anonymous · Answer

there is no $k$ in $3j+2$ so as far as the sum is concerned $j$ is a constant, and you are just adding up 6 identical terms of $3j+2$

anonymous · Answer

I typed it in correctly. The j was what confused me.  But it does appear to be a constant, like you said!

anonymous · Answer

ok, then i hope that explains why you get $18j+12$

anonymous · Answer

Yes, it did help! Where would the "6" come from though?

anonymous · Answer

literally it is 
$$3j+2+3j+2+3j+2+3j+2+3j+2+3j+2$$

anonymous · Answer

six terms, because you have $k=0,1,2,3,4,5$

anonymous · Answer

oh, that's right! Ok! Thank you so much! :)