How do you find the sum of the first 25 terms in the sequence 2, 8, 14, 20...?

1 Answer
Dec 16, 2017

#1850#

Explanation:

The common difference of this arithmetic sequence is #6#

So the #25#th term will be #2+24xx6 = 146#

The average term in the sum of the first #25# terms is:

#(2+146)/2 = 74#

So the sum of the first #25# terms is:

#25 * 74 = 1850#