Question 25

Complete the series 1, 6, 6, 36, 216, .....

Solution

T(n) be $$n^{th}$$ term

We see that T(n)= T(n-1) * T(n-2)

1, 6, 6, 36, 216, .....

T(1) = 1

T(2) = 6

T(3) = 6

T(4) = 36

T(5) = 216

T(6) = T(5)*T(4)

Hence next term is 36*216 = 7776

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