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Number patterns: Gentle, sheet 1

12 patterns on one sheet, with the answers on the last page. Find the rule and write the next number.

Number patterns: Gentle, sheet 1

Find the rule and write the next number.

  1. 4, 16, 64, 256, 1024, 4096, ?
  2. 5, 15, 45, 135, 405, 1215, ?
  3. 4, 8, 12, 16, 20, 24, ?
  4. 18, 27, 36, 45, 54, 63, ?
  5. 5, 10, 20, 40, 80, 160, ?
  6. 2, 8, 32, 128, 512, 2048, ?
  7. 3, 12, 48, 192, 768, 3072, ?
  8. 2, 6, 18, 54, 162, 486, ?
  9. 3, 6, 12, 24, 48, 96, ?
  10. 1, 2, 4, 8, 16, 32, ?
  11. 4, 8, 16, 32, 64, 128, ?
  12. 24, 33, 42, 51, 60, 69, ?

Answers

  1. 16384. Each term is the one before multiplied by 4, so the next term is 4096 × 4 = 16384.
  2. 3645. Each term is the one before multiplied by 3, so the next term is 1215 × 3 = 3645.
  3. 28. Each term changes by +4, so the next term is 24 + 4 = 28.
  4. 72. Each term changes by +9, so the next term is 63 + 9 = 72.
  5. 320. Each term is the one before multiplied by 2, so the next term is 160 × 2 = 320.
  6. 8192. Each term is the one before multiplied by 4, so the next term is 2048 × 4 = 8192.
  7. 12288. Each term is the one before multiplied by 4, so the next term is 3072 × 4 = 12288.
  8. 1458. Each term is the one before multiplied by 3, so the next term is 486 × 3 = 1458.
  9. 192. Each term is the one before multiplied by 2, so the next term is 96 × 2 = 192.
  10. 64. Each term is the one before multiplied by 2, so the next term is 32 × 2 = 64.
  11. 256. Each term is the one before multiplied by 2, so the next term is 128 × 2 = 256.
  12. 78. Each term changes by +9, so the next term is 69 + 9 = 78.