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, ___
- A.
I27
- B.
H27
- C.
I 20
- 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).