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Number and Letter Series · Question 60 of 68

Question 60

MediumOriginal question

In the series 2, 5, 10, 17, 26, 38, 50, exactly one number is wrong. Find it.

Options for question 60

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. The terms are one more than squares: 12+1,22+1,32+1,42+1,52+11^2 + 1, 2^2 + 1, 3^2 + 1, 4^2 + 1, 5^2 + 1, and the last is 72+1=507^2 + 1 = 50.

  2. The sixth term should be 62+1=376^2 + 1 = 37, so 38 is wrong.

Worth noting

The differences 3, 5, 7, 9 should continue 11, 13; with 38 they read 12, 12.

Concept
Wrong term in a squares-plus-one series
Typical time
70 s
Your time
—
The rule this testsWrong or missing term
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Ten questions from Number and Letter Series, at your own pace.

Practise this chapter →

Ten questions from Number and Letter Series, at your own pace.