Math, asked by nilaksh82, 10 months ago

8,10,18,44,124,_What is the next number?​

Answers

Answered by Anonymous
2

Answer:

204

Step-by-step explanation:

Answered by harendrachoubay
2

The next number is 366.

Step-by-step explanation:

The given sequence are:

8, 10, 18, 44, 124, ____

To find, the next number = ?

The pattern follow:

Previous number  + (3^{1}-1), Previous number  + (3^{2}-1), Previous number  + (3^{3} -1), Previous number  + (3^{4} -1)

10 = 8 + ( 3^{1}-1) = 8 + (3 - 1) = 8 + 2 = 10

18 = 10 + (3^{2}-1 ) = 10 + (9 - 1) = 10 + 8 = 18

44 = 18 + ( 3^{3} -1) = 18 + (27 - 1) = 18 + 26 = 44

124 = 44 + ( 3^{4} -1) = 44 + (81 - 1) = 44 + 80 = 124

Similarly,

? = 124+ ( 3^{5}-1) = 124 + (243 - 1) = 124 + 242 = 366

Thus, the next number is 366.

Similar questions