Answer:
7th term = -2187
Step-by-step explanation:
The formula for nth term of a geometric sequence is given by:
[tex]a_n=a*r^{n-1}[/tex]
Where
Since the question gives us the formula and wants to know 7th term, we just plug in 7 into n:
[tex]a_n=(-3)*(3)^{n-1}\\a_n=(-3)*(3)^{7-1}\\a_n=(-3)*(3)^6\\a_n=-2187[/tex]
Answer:
7th term is -2187
Step-by-step explanation:
Nth term of the geometric sequence is given by
[tex]a_n = a_1(r)^{n-1}[/tex]
where a1 is the first term and 'r' is the common ratio
[tex]a_n = -3(3)^{n-1}[/tex]
a1=-3 and r=3
7 th term of the geometric sequence is
[tex]a_7 = a_1(r)^{6}[/tex]
replace the values of a1 and 'r'
[tex]a_7 = -3(3)^{6}[/tex]
a_7=-2187
