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.
If Tn = Tn-1 + Tn-2 ∀ n ≥ 3 and T1 = T2 = 1 then T1 + T2 + ... + T10 =
- T11 + 4
- T12 - 1
- T12 + 1
- T9 + T11
Tn = Tn-1 + Tn-2 ∀ n ≥ 3 మరియు T1 = T2 = 1 అయితే T1 + T2 + ... + T10 =
- T11 + 4
- T12 - 1
- T12 + 1
- 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.