Answer: the 7th term of the geometric sequence is 1/3
Step-by-step explanation:
The formula for determining the nth term of a geometric progression is expressed as
an = a1r^(n - 1)
Where
a represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms.
From the information given,
a1 = - 243
r = - 1/3
n = 7
The 7th term, a7 is
a7 = - 243 × - 1/3^(7 - 1)
a7 = - 243 × - 1/3^6
a7 = - 3^5 × - 3^6
a7 = 3^(5 - 6)
a7 = 3^- 1
a7 = 1/3
