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October 23, 2014

October 23, 2014

Posted by **Skye** on Saturday, April 3, 2010 at 5:37am.

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 :)

- Algebra 2: Sequences and Series -
**Anonymous**, Saturday, April 3, 2010 at 9:25amIn 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

- Algebra 2: Sequences and Series -
**David Q/R**, Saturday, April 3, 2010 at 10:56amThe 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!

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