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Number patterns: Gentle, sheet 2

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

Number patterns: Gentle, sheet 2

Find the rule and write the next number.

  1. 23, 30, 37, 44, 51, 58, ?
  2. 21, 27, 33, 39, 45, 51, ?
  3. 5, 20, 80, 320, 1280, 5120, ?
  4. 1, 2, 4, 8, 16, 32, ?
  5. 25, 33, 41, 49, 57, 65, ?
  6. 1, 3, 9, 27, 81, 243, ?
  7. 9, 16, 23, 30, 37, 44, ?
  8. 3, 12, 48, 192, 768, 3072, ?
  9. 5, 12, 19, 26, 33, 40, ?
  10. 4, 16, 64, 256, 1024, 4096, ?
  11. 4, 12, 20, 28, 36, 44, ?
  12. 12, 20, 28, 36, 44, 52, ?

Answers

  1. 65. Each term changes by +7, so the next term is 58 + 7 = 65.
  2. 57. Each term changes by +6, so the next term is 51 + 6 = 57.
  3. 20480. Each term is the one before multiplied by 4, so the next term is 5120 × 4 = 20480.
  4. 64. Each term is the one before multiplied by 2, so the next term is 32 × 2 = 64.
  5. 73. Each term changes by +8, so the next term is 65 + 8 = 73.
  6. 729. Each term is the one before multiplied by 3, so the next term is 243 × 3 = 729.
  7. 51. Each term changes by +7, so the next term is 44 + 7 = 51.
  8. 12288. Each term is the one before multiplied by 4, so the next term is 3072 × 4 = 12288.
  9. 47. Each term changes by +7, so the next term is 40 + 7 = 47.
  10. 16384. Each term is the one before multiplied by 4, so the next term is 4096 × 4 = 16384.
  11. 52. Each term changes by +8, so the next term is 44 + 8 = 52.
  12. 60. Each term changes by +8, so the next term is 52 + 8 = 60.