What comes next in the following sequnce?
20.25, 12.25, 6.25, 2.25, ?
0.25
Let us examine the pattern of the given sequence.
The terms can be written as squares of numbers decreasing by 1: 4.5² = 20.25, 3.5² = 12.25, 2.5² = 6.25, 1.5² = 2.25.
Following this pattern, the next term should be 0.5² = 0.25.
Alternatively, checking the differences between consecutive terms: 20.25-12.25=8, 12.25-6.25=6, 6.25-2.25=4; the difference itself decreases by 2 each time, so the next difference should be 2, giving 2.25-2=0.25.
Both approaches confirm that the missing term is 0.25.
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