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What is the explicit rule for the geometric sequence? 9,6,4,83,… enter your answer in the box. an=

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The explicit rule of the geometric sequence 9,6,4,83 is an = 9 × 2/3^(n - 1)

How to find explicit rule of a geometric sequence

The explicit rule of a geometric sequence is given by;

an = ar^(n - 1)

where,

  • a = first term
  • r = common ratio
  • n = number of terms

9,6,4,83....

So,

a = 9

r = 6/9 = 2/3

Therefore,.

an = a×r^(n - 1)

an = 9 × 2/3^(n - 1)

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