12,33,74,45,36,?
Calculate the next number
Answers
Answer:
57
Step-by-step explanation:
12__(9+12=21)__33__(21+20)__74__(41-12=29)__45__(29-20=9)__36__(9+12=21)__57
Given : 12,33,74,45,36 ?
To Find : next number in the series
Solution:
12
12 + 21 = 33
33 + 41 = 74
74 + 61 = 135 = 45 ( 1 + 3 = 4)
45 + 81 = 126 = 36 ( 1 + 2 = 3)
36 + 101 = 137 = 47 (1 + 3 = 4)
Hence next term in sequence would be 47
Tₙ₊₁ = Tₙ + 20n + 1 ( where Digits other than unit digits added to form a single digits for tens place)
Another Logic :
12, 33, 74, 45, 36,
Taking Tens digit 1st
1 3 7 4 3
1² = 1
2² - 1 = 3
3² - 2 = 7
4² - 3 = 13 = 1 + 3 = 4
5² - 4 = 21 = 2 + 1 = 3
6² - 5 = 31 = 3 + 1 = 4
n² - (n - 1) digits added until converted in single digit
Digits at unit place
2 3 4 5 6
so next digit would be 7
n + 1
Hence next number in series should be 47.
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