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TS Police SI Prelims 2022 · Question 5

Question 5 of the TSLPRB SI Preliminary Written Test 2022 (7 August 2022). Try it first, then open the answer and explanation.

  1. SI Prelims 2022 · Q5 · Arithmetic · Numbers & Simplification

    If Tn = Tn-1 + Tn-2 ∀ n ≥ 3 and T1 = T2 = 1 then T1 + T2 + ... + T10 =

    1. T11 + 4
    2. T12 - 1
    3. T12 + 1
    4. T9 + T11

    Tn = Tn-1 + Tn-2 ∀ n ≥ 3 మరియు T1 = T2 = 1 అయితే T1 + T2 + ... + T10 =

    1. T11 + 4
    2. T12 - 1
    3. T12 + 1
    4. T9 + T11
    Show answer

    Answer: (2) T12 - 1

    సమాధానం: (2) T12 - 1

    This is the Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, so T1 + ... + T10 = 143 = 144 - 1 = T12 - 1. In general the sum of the first n terms equals T(n+2) - 1.

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