How do you find a formula for the nth term of each arithmetic sequence: 24,32,40,48,.......?

1 Answer
Aug 16, 2015

Answer:

#color(blue)(a_n=16 +8n #( for #n=1,2,3,4...#)

Explanation:

The arithmetic sequence is
#24,32,40,48#

The first term #color(blue)(a_1 = 24#
The common difference of the sequence is
#color(blue)(d=32-24=8#

The #nth # term of an arithmetic sequence is given by formula:
#color(blue)(a_n=a+(n-1)d#

So for the above sequence
#a_n=color(blue)(24) +(n-1)color(blue)(8#
#a_n=24 +8n -8#
#a_n=16 +8n #