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The sum of the first $n$ terms of a sequence is given by $S_{n} = 2^{n = 2} - 4$

  1. Determine the sum of the first 24 terms
  2. Determine the 24th term
  3. Prove that the nth term of the sequence is $2^{n + 1}$
in Mathematics by Diamond (60,788 points) | 44 views

1 Answer

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1.Sum of 24 terms = 2^(24+2) - 4 = 67 108 860

2.  Sum of 24 terms minus sum of 23 terms= [2^(24+2) - 4] - [2^(23+2) - 4]

                                                                      = 33 554 432
by Diamond (42,270 points)

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