Algebra 2: Sequences and Series
posted by Skye on .
I have this question and I don't understand what it's asking for. It says evaluate, is it asking for the missing term or what?
The sequence 21, 23, 25, 27, 29, ..., 41 has 11 terms. Evaluate the related series.
* 320
* 341
* 300
* 166
Very confused, any insight on how to solve this would be helpful :)

In simple terms, for a sequence you would list the terms,
in a series you would add the terms
so you want
21+23+25+ ... + 41
this is an arithmetic series with
a = 21, d=2 and n = 11
the sum of those terms
using sum = n/2(first term + last term)
= 11/2(21+41)
= 341 
The way the question is phrased suggests that not all of it has actually been posted. "Evaluate the related series" doesn't mean anything on its own  at least, not to me. Has your teacher defined a "related series" to be the sum of the individual elements of that series? This is one of those questions where its easy enough to guess what's required  which is what has been written above  but this seems not actually to have been ASKED for!