The 7th term of the sequence is 81
The nth term of a geometric sequence is expressed as:
[tex]T_n=ar^{n-1}[/tex]
- a is the first term = 1/9
- r is the common ratio = -3
- n is the number of terms = 7
Substitute the given parameters into the formula to have:
[tex]T_7=1/9(-3)^{7-1}\\T_7=1/9(-3)^6\\T_7=1/9(729)\\T_7=81[/tex]
Hence the 7th term of the sequence is 81
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