Grade 9 · Math

Continue a geometric sequence

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A sequence multiplies by the same positive factor each time: 5, 10, 20, 40, ___. What is the next term?

  1. 79
  2. 80
  3. 82
  4. 81
See the answer & why

80

Each term is multiplied by 2. The next term is 40 × 2 = 80.

A little hint: Find the constant ratio by dividing a term by the previous term.

Divide successive nonzero terms to check for a constant ratio.

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