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10.) 10. WC JellY is (JEE(Advanced)-2018...

10.) 10. WC JellY is (JEE(Advanced)-2018, 3(0)1 Let a and B be the roots of x - x - 1 = 0, with a > B. For alle Ots of x-X-1 = 0, with a > B. For all positive integers n, define a = -B" "a-Binzi b, = 1 and b = a1 + antin2 2. Then which of the following options is/are correct? aa 10 (1) a, + a2 + a, +...+ 3 = 2.2 - 1 for all n 21 (2) 2109 [JEE(Advanced)-2019, 4-1) (3) Dm8 (3) 2109 89 (4) b = a" + B" for all n > 1

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