What is an explicitly-defined equation for the sequence with #a_1#=4, #a_2#=8, #a_3=12#?

1 Answer
Mar 17, 2018

Answer:

nth term #a_n = 4 + (n-1) * 4# is the explicitly defined equation of the giver Arithmetic Sequence.

Explanation:

#a_1 = 4, a_2 = 8, a_3 = 12#

#a_2 - a_1 = 8 - 4 = 4#

#a_3 - a_2 = 12 - 8 = 4#

Hence common difference #d = 4#

It is an Arithmetic Sequence with #a_1 = 4, d = 4#

nth term of A.S. is given by #a_n = a_1 + (n-1) * d# where n is a positive integer.

nth term #a_n = 4 + (n-1) * 4# is the explicitly defined equation of the giver Arithmetic Sequence.