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1 solution
Let's say that this expression is equal to x . So
2 0 + 2 0 + 2 0 + 2 0 + 2 0 + ⋱ 8 0 0 8 0 0 8 0 0 8 0 0 = x ⟹ 2 0 + x 8 0 0 = x 2 0 x + 8 0 0 = x 2 ∴ x 2 − 2 0 x − 8 0 0 = 0 ( x − 4 0 ) ( x + 2 0 ) = 0
Hence x = 4 0 or x = − 2 0 , as the value of x can clearly not be equal to − 2 0 it can be rejected.