Summation notation, properties of sums
As a shortcut for writing out long sums, we can use the symbol ∑ with the following "settings":
Here n is called the index, but other letters can also be used in place of n.
Essentially, any ∑ of a sum can be broken into two ∑ 's.
Or vice versa! If two sums have the same start and stop index (eg k=1 up to n), they can be merged.
For any series of the form k=1∑nak and any integer m between 1 and n, we can split the series at the index m:
Nice work completing Summation notation, here's a quick recap of what we covered:
Exercises checked off
Summation notation, properties of sums
As a shortcut for writing out long sums, we can use the symbol ∑ with the following "settings":
Here n is called the index, but other letters can also be used in place of n.
Essentially, any ∑ of a sum can be broken into two ∑ 's.
Or vice versa! If two sums have the same start and stop index (eg k=1 up to n), they can be merged.
For any series of the form k=1∑nak and any integer m between 1 and n, we can split the series at the index m:
Nice work completing Summation notation, here's a quick recap of what we covered:
Exercises checked off