This doesn't look nice...

Algebra Level 5

Given that the value of

\[ \sum _ { i = 1 } ^ { \infty } \frac {1 \times 4 \times 7 \times \ldots \times ( 3i - 2 ) } { 6 \times 12 \times 18 \times \ldots \times 6i } \]

can be expressed in the form \( \sqrt [ 15 ] { a } - \sqrt [ 15 ] { b } \), where \( a \) and \( b \) are positive integers, find the smallest possible value of \( ab \).

×

Problem Loading...

Note Loading...

Set Loading...