Question

17,34,38,114,120,480,
​

Answer 1

Given:

The series- 17,34,38,114,120,480

To find:

The missing number

Solution:

• Logic- Two different patterns are being followed here alternatively. A combination of multiplication and addition is taking place.

1. Firstly, the numbers are multiplied by a given number-

17,34,.....

So, here first number gets multiplied by 2 ( 17*2=34) to get the second number

2. Next, addition is performed and 4 gets added to the second number, 34 to get the third number-

17,34,38,...

3. Again the first logic of pattern is applied, i.e. multiplication takes place- third number gets multiplied by 3( this number gets incremented by 1 every time)

17,34,38,114,....

4. Again the second logic or pattern is applied, i.e. addition takes place- 6 is added to the fourth number

17,34,38,114,120

In this way, there's an alternate pattern of multiplication and addition going on and every time the number used for multiplication( incremented by 1) and addition( the number used for multiplication is multiplied by 2 and used for addition) changes

It goes like- Number 1 *2 -----> Number 2 + ( 2*2) ----> Number 3 * 3 -------> Number 4 +(3*2) and so on

So, here we get- 480+ ( 4*2) = 480+8= 488 as the next missing number in the series.

The missing number is 488 and the series is 17,34,38,114,120,480,488.

Answer 2

HELLO DEAR,

The given number 17, 34 ,38,114,120,480,

To find next number.

17 × 2 = 34

( Here 34+4 = 38)

38× 3=114

(Here 114+6= 120)

120× 4= 480

(by using above pattern 480+ 8 = 488)

Therefore next number= 488.

I HOPE IT'S HELP YOU DEAR,

THANKS.