1,5,18,66,280,1420?
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Step-by-step explanation:
By using this a(n)= n * (a(n - 1) + 4), we get;
Where n = 1, 2, 3, ....
Here, a(0) = 1.
n = 1
a(1) = 1 * (a(1 - 1) + 4)
=> 1 * a(0) + 4
= 1 * 1 + 4 = 1 * 5 = 5
a(1) = 5.
a(2) = 2 * (a(1) + 4)
=2 * (5 + 4) = 18.
a(3) = 3 * (a(2) + 4)
= 3 * (18 + 4)
=66
a(4) = 4 * (a(3) + 4)
= 4 * (66 + 4)
= 280
a(5) = 5 * (a(4) + 4)
= 5 * (280 + 4)
= 1420
a(6) = 6 * (a(5) + 4)
= 6 * (1420 + 4)
= 6 * 1424 = 8544 => Next number.
Therefore, the series is 1, 5, 18, 66, 280, 1420, 8544.
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