Question

6, 13, 38, ?, 532, 2675

Answer 1

TO FIND

the missing no in sequence

GIVEN

6,13,38,?,532,2675

STEP BY STEP SOLUTION

6×1 = 6

6×1+7×1 = 6+7 = 13

13×2+6×2 = 26+12 = 38

38×3+5×3 = 114+15 = 129

129×4+4×4 = 516+16 = 532

532×5+3×5 = 2660+15 = 2675

ANSWER

the unknown number is 129

Answer 2

Given:

A series of numbers 6, 13, 38,? , 532, 2675.

To Find:

The number which replaces the? is

Solution:

The given problem can be solved by developing a common logic between every term.

1. The second term in the sequence is obtained using the logic,

=> 13 = 6 x 1 + 7 x 1,

2. The third term in the sequence is obtained using the logic,

=> 38 = 13 x 2 + 6 x 2,

3. The sixth term in the sequence is obtained using the logic,

=> 2675 = 532 x 5  + 3 x 5,

4. Using the same pattern, the missing term can also be found,

=> Fourth term = 38 x 3 + 5 x 3,

=> Fourth term = 114 + 15,

=> Fourth term = missing term = 129.

5. The fifth term in the series is obtained using the relation,

532 = 129 x 4 + 4 x 4.

Therefore, the missing term is 129.