Question

Find the next in sequence 496,492,483 467

Answer 1

Answer:

The next number will be 442.

Proof:

The series goes like, 496, 492, 483, 467, …

Let, the next number will be [math]Z[/math].

Now, 496 is the first number in the series

and the second number 492 = 496 - 4 = [math]496- 2^2[/math]

and the third number 483 = 492 - 9 = [math]492- 3^2[/math]

and the fourth number 467 = 486 - 16 = [math]486- 4^2[/math]

Using the knowledge above, the series can be expressed as [math]N_{\textbf m} = N_{{\textbf m} - {\textbf 1}} - m^{\textbf 2}[/math]

where, [math]N_{\textbf m}[/math] is the m-th number in the series.

so, the fifth number [math]Z = 467- 5^2 = 442[/math]

So the next number will be, 442.

Thanks for reading my answer. Hope this helps

Step-by-step explanation:

Answer 2

next number will be 442