Calculus

[violet kelp]

i need help with task 8c. thanks.
“Simplify the expressions by switching the summation limits” says the task.

[ancient pine]

1. Wait patiently for a helper to come along.
2. Once someone helps you, say thank you and close the thread with:

+close

3. Feel free to nominate the person for helper of the week in #helper-nominations
4. Do not ping the mods, unless someone is breaking the rules.
5. If you're happy with the help you got here, and the server overall, you can contribute financially as well:

[vocal tangle]

Take k = n + 1.

[violet kelp]

wait wdym

[vocal tangle]

What? When you make a substitution k = n + 1, the expression under the sum will become simpler. Don't forget that the limits will change.

[violet kelp]

so “k” will be the index of summation

[vocal tangle]

Yes.

[violet kelp]

wait this is how i did the previous tasks (i didnt show how i did it exactly, but i mean it was easy to see so i just wrote the answer directly:

[vocal tangle]

Well, you just did the same thing, but without the intermediate steps.

Though, you didn't really finish (b).

[violet kelp]

wait i think i know

maybe from n=-2 to the upper bound 16, with sum; 3^n

[vocal tangle]

Yes.

[violet kelp]

yess

[vocal tangle]

For (c), consider that 2n + 2 = 2(n + 1).

[violet kelp]

ohh yee you are right