Question

19) What is the next number of the given series?
333, 337, 353, 417, ?
A) 517
B) 434
C) 559
D) 673​

Answer 1

Answer:

The difference between first 2 terms is 4, and is 2nd or 3rd term is 16 that is 4*4, and in next term is 64 that is 16 *4

So in last step the difference is 64 so we have to multiply 64*4 that is 256 and add this is 417 = 673

Answer 2

Answer:

The next number of the given series is 673.

So, option d is the correct answer.

Step-by-step explanation:

Given series is 333, 337, 353, 417, ?

Here we want to find next term of the series.

This is a problem of General inteligence part of Mathematics.

If you look it carefully then you can see that this series maintain a sequence.

Here differences between first two term

$= (337 - 333) = 4$

and difference between second and third term

$= (353 - 337) = 16 = {4}^{2}$

and difference between third and fourth term

$= (417 - 353) = 64 = {4}^{3}$

It is clear that difference between fourth and fifth term

$= {4}^{4} = 256$

Required fifth term is

$(417 + 256) = 673$

Therefore next term is 673.

This is a problem of Mathematics.

Some important Mathematics formulas.

(a + b)² = a² + 2ab + b²

(a − b)² = a² − 2ab − b²

(a + b)³ = a³ + 3a²b + 3ab² + b³

(a - b)³ = a³ - 3a²b + 3ab² - b³

a³ + b³ = (a + b)³ − 3ab(a + b)

a³ - b³ = (a -b)³ + 3ab(a - b)

a² − b² = (a + b)(a − b)

a² + b² = (a + b)² − 2ab

a² + b² = (a − b)² + 2ab

a³ − b³ = (a − b)(a² + ab + b²)

a³ + b³ = (a + b)(a² − ab + b²)

Two more important Mathematics,

1) https://brainly.in/question/13024124

2) https://brainly.in/question/1169549