Let Un+1 = 2Un + 1 (n = 0, 1, 2, ...) and u0 = 0. Then u10 is nearest to
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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