The 6th term of the geometric sequence 27/16, -9/8, 3/4..... is - 2/9
The correct answer option is option B
Given: 27/16, -9/8, 3/4.....
nth term = ar^(n-1)
Where,
First term, a = 27/16
Common ratio, r = -9/8 ÷ 27/16
= -9/8 × 16/27
= -2/3
6th term = ar^(n-1)
= 27/16 × -2/3^(6-1)
= 27/16 × -2/3^5
= 27/16 × -32/243
= - 2/9
In conclusion, negative two ninths is the 6th term of the geometric sequence.
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