Multiple choice

Calculate $10^{th}$ term of the infinite series $4, 6, 8, \dots\infty$.

  1. $18$
  2. $20$
  3. $22$
  4. $26$
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C Correct answer
Explanation

This is an arithmetic progression with first term a = 4 and common difference d = 2. The n-th term is a + (n-1)d. For n = 10, term = 4 + (10-1)2 = 4 + 18 = 22.

AI explanation

To find the specified term of this arithmetic progression, we use the formula for the nth term, which is a plus n minus 1 times d, where a is the first term and d is the common difference. Here, the first term is 4 and the common difference is 2, so we substitute these values to compute 4 plus 10 minus 1 times 2. This simplifies to 4 plus 9 times 2, which equals 4 plus 18, giving a result of 22.

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