Arithmetic Number Series. What will be in the place of (?) in the below…

2017

Arithmetic Number Series. What will be in the place of (?) in the below series? G 14, ? , K 44, M 65, O 90, ___

  1. A.

    I27

  2. B.

    H27

  3. C.

    I 20

  4. D.

    I 30

Attempted by 4 students.

Show answer & explanation

Correct answer: A

To find the missing term in the series G 14, ?, K 44, M 65, O 90, ..., we need to analyze the pattern of the letters and the numbers separately.

Step-by-Step Analysis
Analyze the Letter Pattern:

G (7th letter) → ?

K (11th letter)

M (13th letter)

O (15th letter)
The letters follow an increment of 2: G(+2) = I, I(+2) = K, K(+2) = M, M(+2) = O.
Therefore, the missing letter is I.

Analyze the Number Pattern:
Let's look at the differences between consecutive numbers:

14 to ?

? to 44

44 to 65: Difference is 21

65 to 90: Difference is 25

Looking at the differences themselves:

25 - 21 = 4
The differences are increasing by 4. Let's work backward from 44:

The difference before 21 should be 21 - 4 = 17.

44 - 17 = 27.

The difference before 17 should be 17 - 4 = 13.

27 - 13 = 14.
This fits perfectly! The number sequence is 14, 27, 44, 65, 90 (differences are +13, +17, +21, +25).

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