Reach for the Summit - M-S4-A3

Algebra Level 4

Find the value of:

((k=01010(1)k(20202k))2+(k=01009(1)k(20202k+1))2)mod998244353\left(\left(\sum_{k=0}^{1010} (-1)^k {2020 \choose 2k} \right)^2 + \left(\sum_{k=0}^{1009} (-1)^k {2020 \choose 2k+1} \right)^2 \right) \bmod 998244353


Reach for the Summit problem set - Mathematics

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