How do you find the nth term formula 4, 4.3, 4.6, 4.9?

1 Answer
Jul 1, 2016

Answer:

#a_n=4+0.3(n-1)#

Explanation:

The difference between each term is 0.3 so we have an arithmetic sequence.

Let #i# be the term position count in the sequence
Let any term be #a_i#

Then
#i->a_1=4#
#i->a_2=4+0.3#
#i->a_3=4.6=4+(2xx0.3)#
#i->a_4=4.9=4+(3xx0.3)#

We observe that any term #a_i = 4+[(i-1)xx0.3]#

Thus for #i=n# we have #a_n=4+[(n-1)xx0.3]#

Write as:#" "a_n=4+0.3(n-1)#