Multiple choice

What is the $5^{th}$ term of this sequence? $5, 10, 20, ...$

  1. $30$
  2. $40$
  3. $50$
  4. $80$
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D Correct answer
Explanation

The sequence is a geometric progression with a = 5 and r = 2. The 5th term is a * r^(n-1) = 5 * 2^(5-1) = 5 * 16 = 80.

AI explanation

The given sequence 5, 10, 20 is a geometric progression where each term is multiplied by 2. The first term a is 5 and the common ratio r is 2 (10 / 5). Using the nth term formula for a geometric sequence, an = a * r^(n-1), the 5th term is a5 = 5 * 2^(5-1) = 5 * 2^4 = 5 * 16 = 80.

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