. What will come in place of question mark
in the given series?
7,12, 19, 28, 39,?
(a) 52 (b) 50
(C) 51 (d) 48
Answers
Answered by
2
Answer:
52
Step-by-step explanation:
Answered by
7
Answer:
(a) 52
Step-by-step explanation:
Given series is 7, 12, 19, 28, 39, ?
We have to find the missing number.
Say 7 as a1, 12 as a2, 19 as a3, 28 as a4, 39 as a5.
Common difference
- a2 - a1 = 12 - 7 = 5
- a3 - a2 = 19 - 12 = 7
- a4 - a3 = 28 - 19 = 9
- a5 - a4 = 39 - 28 = 11
If we see carefully then we notice that each time the difference is increased by 2.
5 + 2 = 7, 7 + 2 = 9, 9 + 2 = 11 or 11 - 2 = 9, 9 - 2 = 7, 7 - 2 = 5
From above it is clear that we have to add 2 in 11 and then have to add that in 39.
So,
→ 39 + (11 + 2) = 39 + 13 = 52
52 - 39 = 13
So, the series is like that
- 12 - 7 = 5
- 19 - 12 = 7
- 28 - 19 = 9
- 39 - 28 = 11
- 52 - 39 = 13
5 + 2 = 7, 7 + 2 = 9, 9 + 2 = 11, 11 + 2 = 13, or 13 - 11 = 2, 11 - 2 = 9, 9 - 2 = 7, 7 - 2 = 5
Hence, the missing number is 52.
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