The sum ∑ n = 1 21 3 4 n - 1 4 n + 3 is equal to

The sum n=12134n-14n+3 is equal to
  1. 787
  2. 729
  3. 1487
  4. 2129

Solution

n=12134n-14n+3=34n=12114n-1-14n+3

=3413-17+17-111+.+183-187

=3413-187=3484261=729

Asked in: JEE Main 2022 (25 Jul Shift 2)

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