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3 years ago

Find the sixth term of the geometric sequence 9, -27, 81, a6

Mathematics

1 answer:

Crank3 years ago

8 0

Answer:

The sixth term of the sequence = -234

Step-by-step explanation:

The formula of a geometric sequence is:

aₙ = a₁ + r⁽ⁿ⁻¹⁾

Where;

aₙ = the term value

n = the term that has to be found out

a₁ = first term in the sequence

r = common ration

Here in this situation:

aₙ = unknown

n = 6

a₁ = 9

r = -3

Therefore the solution would be:

a₆ = 9 + (-3)⁶⁻¹

a₆ = 9 + (-3)⁵

a₆ = 9 + (-243)

a₆ = -234

Therefore the sixth term of the sequence would be: -234

Hope this helps!

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