Question

4,1335,2335,3064,3576?

Answer 1

Answer:

3919

Step-by-step explanation:

1335-4=1331 ==>11cube

2335-1335=1000 ==>10cube

3064-2335=729 ==>9cube

3567-3064=572 ==>8cube

so the next will be 7cube which is 343, so add 343 to 3576 =3919.

Answer 2

Given :

The series is :

4, 1335, 2335, 3064, 3576, ?

To find:

The missing number.

Solution:

Let us take the missing number as X.

The series follows a definite pattern of subtraction.

4, 1335, 2335, 3064, 3576, X

In this series, the subtraction of consecutive terms is a cube of a number.

1335 - 4 = 1331 = (11)³

2335 - 1335 = 1000 = (10)³

3064- 2335 = 729 = (9)³

3576 - 3064 = 512 = (8)³

Following the above pattern, we can get the value of X.

Now,

X - 3576 =  343 = (7)³

X= 3576 + 343

X= 3919

The missing number is 3919.

The complete series is 4, 1335, 2335, 3064, 3576, 3919.