Does anyone find the next number 2, 6, 22, 58, 122,?
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3
Answer:
222
Step-by-step explanation:
This is not a regular set of patterned number
If we check the difference of each term we get,
6 - 2 = 4 = 4 × 1
22 - 6 = 16 = 4 × 4
58 - 22 = 36 = 4 × 9
122 - 58 = 64 = 4 × 16
See a pattern...... They are square numbers......also they have difference of 3, 5, 7,......
do next could be 4 × 5² or 4 × (16 + 9)
both are the same because square numbers have the difference of positive odd natural numbers.
4 × 25 = 100
so the next difference is 100
so coming back to the pattern
2, 6, 22, 58, 122, (122 + 100) = 2, 6, 22, 58, 122, 222,....and so on
This is just a hunch I may be right or wrong so do check if there is any other patterns ok then just trust you Heart.....
Hope you understood it........All the best.
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