Question

Find the next number in the sequence: 2, 2,5, 12, 62, 749, 46450​

Answer 1

Answer:

34791112.

Step-by-step explanation:

Given:The given series is 2, 2,5, 12, 62, 749, 46450.

To find: We have to find the next term.

Solution:

To determine the next term in the above series we have to find out the pattern.

12 can be given as 5×2+2=12

62 can be given as 12×5+2=62

749 can be given as 62×12+5=749

46450 can be given as 749×62+12=46450

Thus the next term will also follow the same pattern.

Thus, the next term will be-

46450×749+62=34791112

Thus, the next term of the series is 34791112.

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Answer 2

Concept

A sequence is an enumerated collection of objects within which repetitions are allowed and order matters. Like a set, it contains members.

Given

The given sequence is $2,2,5,12,62,749,46450$.

Find

We have to seek out the following number within the sequence.

Solution

Firstly, we are going to find the pattern within the given sequence.

We will find the pattern in $12$.

$12=5\times 2+2$

Similarly, we are going to find other patterns also.

$62=12\times 5+2$

$749=62\times12+5$

$46450=749\times62+12$

The Pattern we discover here is that the term is adequate multiples times of both last two terms and addition of the last third-term.

Now, the subsequent number we discover within the sequence is

$46450\times 749+62=34791112$

Hence, the subsequent number within the sequence is $34791112$.

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