How do you find the explicit formula for the following sequence 12,24,48,...?
1 Answer
Mar 22, 2016
Explanation:
This is a geometric sequence
The standard sequence has terms
a,ar,
#ar^2,ar^3,ar^4, ...................... , ar^(n-1)# where a is the 1st term and r , the common ratio.
# r = a_2/a_1 = a_3/a_2 = ............ = a^n/a^(n-1) # the nth term of the sequence is :
# ar^(n-1) # For this sequence a = 12 ,
#r =24/12 = 48/24 = 2 # the nth term formula is therefore :
# 12.(2)^(n-1) #
