What is the next number in the series 3, 12, 25, 42, 63?
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Lets check the difference between two consecutive terms
12 - 3 = 9
25 - 12 = 13
42 - 25 = 17
63 - 42 = 21
So the differences are 9 , 13 , 17 , 21
In the differences we can observe that difference increases by the factor of 4.
So next term will be
63 + 21 + 4 = 63 + 25
= 88
So the required term is 88
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3+9 = 12
12 +13 = 25
25 +17 = 42
42+21 = 63
63+25 = 88
12 +13 = 25
25 +17 = 42
42+21 = 63
63+25 = 88
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