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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 $2^{n + 1}$
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## 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
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1 answer
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1 answer