Question

0,2,6,24,90,342.......​

Answer 1

Чтобы получить следующее число, берется сумма двух предыдущих и умножается на три. скажем, следующее число будет равно 3*(90+342)=1296, далее 3*(342+1296)=4914 и т.д.

Answer 2

Ответ:

следующее число получится если взять сумму двух предыдущих и умножить на три:

0,2,6,24,90,342...1296,4914,18630,70632,267786,1015254,3849120,14593122

Answer 3

To identify the pattern in the given sequence 0, 2, 6, 24, 90, 342, let's examine the differences between consecutive terms:

1st difference: 2 - 0 = 2 2nd difference: 6 - 2 = 4 3rd difference: 24 - 6 = 18 4th difference: 90 - 24 = 66 5th difference: 342 - 90 = 252

Looking at these differences, we notice that they are not constant. Therefore, the given sequence does not follow a simple arithmetic progression or geometric progression.

Let's examine the ratios between consecutive terms:

2 / 0 = undefined (division by zero) 6 / 2 = 3 24 / 6 = 4 90 / 24 = 3.75 342 / 90 = 3.8

The ratios are not constant either, so the sequence does not follow a geometric progression.

To find the pattern, let's consider the relationship between each term and its position in the sequence:

Term 1: 0 Term 2: 2 = 0 + 2^1 Term 3: 6 = 2 + 2^2 Term 4: 24 = 6 + 2^3 Term 5: 90 = 24 + 2^4 Term 6: 342 = 90 + 2^5

It appears that each term is obtained by adding the next power of 2 to the previous term. Therefore, the pattern in the sequence can be described as follows:

Term n = Term (n-1) + 2^(n-1)

Using this pattern, we can continue the sequence:

Term 7: 342 + 2^6 = 342 + 64 = 406

So, the next term in the sequence is 406.