Question

Find the next number in the given series. 2 5 23 119 659

Answer 1

Answer:

Next term in the series is 4079.

Step-by-step explanation:

We are given the series,

2, 5, 23, 119, 659, x

It is required to find the value of x.

Now, we can see the pattern of the series as,

$5=2\times 2+1^3$

$23=5\times 3+2^3$

$119=23\times 4+3^3$

$659=119\times 5+4^3$

That is, the pattern can be written as,

$Next=Previous\times (n+1)+n^3$, where n belongs to {2,3,4,5,6,...}.

Then, the next term of the series is,

$x=659\times 6+5^3$

i.e.  $x=3954+125$

i.e. x = 4079

Thus, the next term in the series is 4079.

Answer 2

"This is tricky series which continuously multiply and add cube of number gives the series expansion

$2\times2+1^3=5$

$5\times3+2^3=23$

$23\times4+3^3=119$

$119\times5+4^3=659$

So the next number is $659\times6+5^3 = 4079$

Likewise a series question is always interesting because we should use some logical thinking to find out in what way they are manipulating to form the series without any interference or imperfections in the flowing series.

The main rule for forming a series is that the series should not end until infinity."