1,3,3,7,6,13 10,____,15,31,21 what's the missed number
Answers
Answer:
1,3,3,7,6,13,10,17,15,31,21
Step-by-step explanation:
The missing number from the entire combined series is 21.
Step-by-step explanation:
- According to the given information, it is given that, the series is 1,3,3,7,6,13 10,____,15,31,21. We need to find the number that will appropriately fit that blank in the series.
- Now, let us divide that series into two parts where the alternate digits forms a different series. Separating the digits into two series we get,
Series 1 as 1, 3, 6, 10, 15, 21 and Series 2 is 3, 7, 13, ____ , 31.
- Now, the terms of the first series are given as,
1 + 2 = 3
3 + 3 = 6
6 + 4 = 10
10 + 5 = 15
15 + 6 = 21
This means that adding the consecutive natural numbers from 1 to the previous sums of a natural number and the previous term of the series gives the consecutive terms of the series.
- Now, the terms of the second series are given as,
3 + 4 = 7
7 + 6 = 13
13 + 8 = 21
21 + 10 = 31.
This means that adding the consecutive even numbers from 4 to the previous sums of a natural number and the previous term of the series gives the consecutive terms of the series.
Thus, the missing number from the entire combined series is 21.
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