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Easydifferences

~40s

20, 19, 17, 14, 10, ?

Find the next term:

20, 19, 17, 14, 10, ?

Show the answer and the worked solution

Correct answer: C.

5

Worked solution

  1. Differences: −1, −2, −3, −4.
  2. Next = 10 − 5 = 5.

Answer: 5.

The idea

Falling by one more each time. Write the differences out rather than trying to see the rule in the terms.

Shortcut. Term n is 20 minus a triangular number (0, 1, 3, 6, 10), so the sixth is 20 − 15 = 5.

Common trap. 6 — subtracting 4 again (10 − 4); each drop is one bigger than the last, so the next is 5.

Number & Letter Series

22 of 53

Level

Easy

Target time

~40s

20, 19, 17, 14, 10, ? — Aptitude Question

20, 19, 17, 14, 10, ?: Find the next term: 20, 19, 17, 14, 10, ? Answer and worked solution on CodeKairo.

Question

Find the next term:

20, 19, 17, 14, 10, ?

Options

  1. 3
  2. 4
  3. 5
  4. 6
Show the answer and the worked solution

Correct answer: C. 5

Worked solution

  1. Differences: −1, −2, −3, −4.
  2. Next = 10 − 5 = 5.

Answer: 5.

The idea

Falling by one more each time. Write the differences out rather than trying to see the rule in the terms.

Shortcut. Term n is 20 minus a triangular number (0, 1, 3, 6, 10), so the sixth is 20 − 15 = 5.

Common trap. 6 — subtracting 4 again (10 − 4); each drop is one bigger than the last, so the next is 5.

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