Question

find the 8th term in the series 2, 5 ,14 ,41​

Answer 1

Answer:

The answer is 2,5,14,41 +81 = 122

Answer 2

SOLUTION

TO DETERMINE

The 8th term in the series 2, 5 ,14 ,41

EVALUATION

Here the given series is

2, 5 ,14 ,41

Now the terms can be rewritten as

$\sf{5 = 2 + {3}^{1} }$

$\sf{14= 5 + {3}^{2} }$

$\sf{41 = 14 + {3}^{3} }$

So by the same argument the next term

$\sf{= 41 + {3}^{4} }$

$\sf{ = 41 + 81 }$

$\sf{ = 122}$

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