Multiple choice

Write down an expression for the $n^{th}$ term of this sequence: $4, 10, 16, 22, 28$

  1. $4n-2$
  2. $6n-2$
  3. $5n-3$
  4. $5n-2$
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B Correct answer
Explanation

The sequence is 4, 10, 16, 22, 28. This is an arithmetic progression with first term a = 4 and common difference d = 6. The formula for the nth term is a + (n-1)d = 4 + (n-1)6 = 4 + 6n - 6 = 6n - 2.

AI explanation

This sequence is an arithmetic progression where the common difference between consecutive terms is 6. Using the formula for the nth term of an arithmetic progression, which is a plus the quantity n minus 1 times d, we substitute the first term a as 4 and the common difference d as 6. Simplifying the expression 4 plus the quantity n minus 1 times 6 yields 6n minus 2.

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