O

Algebra Level 5

There exists a sequence whose terms are \(a_{1}, a_{2}, \ldots, a_{72}\) satisfying the following conditions:

(1): \( { a }_{ i }\in \left\{ { 0 },{ 1 } \right\} \) for all \(1 \le i \le 72\)

(2): \({ a }_{ i+9 }+{ a }_{ i+10 }+\cdots+{ a }_{ i+16 }>{ a }_{ i+1 }+{ a }_{ i+2 }+\cdots+{ a }_{ i+8 }\) for all \( 0 \le i \le 56\).

Find the value of \(a_{38}\).

×

Problem Loading...

Note Loading...

Set Loading...