1,3,5,11,21,43, ? ,171 solve and explain
Answers
Answered by
6
85
Step-by-step explanation:
1+1+1=3
3+3-1=5
5+5+1=11
11+11-1=21
21+21+1=43
43+43-1=85
85+85+1=171
Answered by
3
Answer:
85
Step-by-step explanation:
By looking carefully at this sequence, we can observe a pattern, of sorts, taking place.
Each number starting from 5 is the sum of the immediate previous number and double the number behind that. For instance, 5 = 3 + 2 x 1.
Similarly, 11 = 5 + 2 x 3, 21 = 11 + 2 x 5 and so on.
Therefore, the missing number should be 43 + 2 x 21 = 85.
To verify this answer, 171 should be equal to 85 + 2 x 42 which is indeed 171.
Thus verified.
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