Easy Series 4

Level pending

Find the next term in the series:

2,6,42,1806, _


The answer is 3263442.

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2 solutions

Each next term is found by multiplying it with the next natural number:

2 × ( 2 + 1 ) = 2 × 3 = 6 2\times(2+1)=2\times3=6

6 × ( 6 + 1 ) = 6 × 7 = 42 6\times(6+1)=6\times7=42

42 × ( 42 + 1 ) = 42 × 43 = 1806 42\times(42+1)=42\times43=1806

1806 × ( 1806 + 1 ) = 1806 × 1807 = 3263442 1806\times(1806+1)=1806\times1807=\boxed{3263442}

2 (2+1)=6 6 (6+1)=42 42(42+1)=1806 1806*(1806+1)=3263442

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