Question

5,16,51,158 the next number is...

Answer 1

Answer: 481

Step-by-step explanation:

5, 16, 51, 158, ...

5x3 + 1 = 16

16x3 + 3 = 51

51x3 + 5 =158

158x3 + 7 = 481

Answer 2

5 , 16 , 51 , 158 , 481

Solution:

Given sequence:

5 , 16 , 51 , 158 , ..

We have to find the next number in sequence

Let us analyse the logic used here

$5 \times 3 + 1 = 16 \\\\16 \times 3 + 3 = 51 \\\\51 \times 3 + 5 = 158$

Thus the pattern followed is:

Previous number is multiplied by 3 in all steps and also series of odd numbers is added to every step

$Thus\ next\ number\ is \\\\ 158 \times 3 + 7 = 481$

Thus the next term in sequence is 481

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