TS Police SI Mains 2023 Paper 3 · Question 37

Question 37 of the TSLPRB SI Final Written Examination 2023, Paper III (Arithmetic & Reasoning) (8 April 2023). Try it first, then open the answer and explanation.

1. SI Mains 2023 Paper III · Q37 · Arithmetic · Numbers & Simplification

   If the sum of first n terms of a progression is ((n + 1)(n + 2)(n + 3) − 6)/3, then 4th term in that progression is

   1. 20
   2. 30
   3. 40
   4. 50

   ఒక శ్రేఢిలో మొదటి n పదముల మొత్తం ((n + 1)(n + 2)(n + 3) − 6)/3 అయితే, ఆ శ్రేఢిలోని 4వ పదం

   1. 20
   2. 30
   3. 40
   4. 50
   Show answer

   Answer: (2) 30

   సమాధానం: (2) 30

   T4 = S4 − S3 = [(5 × 6 × 7 − 6) − (4 × 5 × 6 − 6)]/3 = (204 − 114)/3 = 30.

   4వ పదం T4 = S4 − S3 = [(5 × 6 × 7 − 6) − (4 × 5 × 6 − 6)]/3 = (204 − 114)/3 = 30.

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