Math, asked by akshaylendave2618, 5 months ago

1,3,5,11,21,43, ? ,171 solve and explain ​

Answers

Answered by Anonymous
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 ybsv2004
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.

Hope this helps you!

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