# What is the sum of the arithmetic sequence 8, 14, 20 …, if there are 24 terms?

##### 1 Answer

Feb 19, 2016

1848

#### Explanation:

The sum to n terms of an arithmetic sequence is found by using

#S_n = n/2[2a + (n-1)d ]# where a , is the first term and d , the common difference

here a = 8 and d = 14 - 8 = 20 - 14 =.......= 6

hence

# S_24 = 24/2[ (2xx8) +(23xx6) ]# = 12[ 16 + 138 ] = 12( 154) = 1848