Question

5,27,137,687,3437... find missing number

Answer 1

The missing number (?) = 17187

Step-by-step explanation:

The given sequence:

5, 27, 137, 687, 3437, .......

To find, the missing number(?) = ?

The pattern follow:

$5^{1}+0,5^{2}+2,5^{3}+12(2\times 5+2), 5^{4}+62(10\times 5+12),...$

5 = $5^{1}$ + 0 = 5 + 0 = 5

27 = $5^{2}$ + 2 = 25 + 2 = 27

137 = $5^{3}$ + 12 (2 + 2 × 5) = 125 + 12 = 137

687 = $5^{4}$ + 62 (12 + 10 × 5) = 625 + 62 = 687

3437 = $5^{5}$ + 312 (62 + 50 × 5) = 3125 + 312 = 3437

Similarly,

? = $5^{6}$ + 312 (312 + 250 × 5) = 15625 + 1562 = 17187

The missing number (?) = 17187