A geometric sequence is represented by an = a1rn-1 . What is the 7th term of a geometric sequence in which a1 = -243 and the common ratio is -1/3?
-1/3
-1/9
1/9
1/3

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

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step-by-step explanation: