0.04,0.09,0.25,0.49 next number
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Answer:
1.21 is the next number in the series.
Step-by-step explanation:
Given series: 0.04, 0.09, 0.25, 0.49
The following numbers can also be represented as squares:
- 0.04 = ( 0.2 )²
- 0.09 = ( 0.3 )²
- 0.25 = ( 0.5 )²
- 0.49 = ( 0.7 )²
Let's first focus on the square roots of the numbers: 0.2, 0.3, 0.5, 0.7
2, 3, 5 and 7 are consecutive prime numbers.
- 2/10 = 0.2
- 3/10 = 0.3
- 5/10 = 0.5
- 7/10 = 0.7
We can see the square roots are just the consecutive prime numbers divided by 10.
Next prime number after 7 = 11
11 divided by 10 = 11/10 = 1.1
to find the next number in the series, we need to find the square of 1.1
( 1.1 )² = 1.21
1.21 is the next number in the series.
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