What is the 6th term of this geometric sequence 1, 7, 49, 343, …?

1 Answer
Jun 29, 2015

Answer:

#color(blue)(16807#

Explanation:

the geometric sequence given is:
#1, 7 , 49 , 343# ...

When provided with a geometric sequence we must first calculate the common ratio #r#

#r# is obtained by dividing a term by its preceding term
1) #7/1 = 7#
2) #49/7 = 7#

for this sequence the common ratio # r = 7# the first term # a = 1#
and #n = 6#

The 6th term can be obtained through formula
# T_n = ar^(n-1) = 1xx 7^((6-1))#
#= 1 xx 7^5#
#= 1 xx 16807= color(blue)(16807#