Discussion

Explanation:

U0 = 0 = 20 – 1 = 0

U1 = 2 × 0 + 1 = 1 = 21 – 1

U2 = 2 × 1 + 1 = 3 = 22 – 1

U3 = 2 × 3 + 1 = 7 = 23 – 1 and so on.

⇒ Un = 2n - 1

∴ U10 = 210 – 1 = 1023.

Hence, option (a).

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