Exercise 51

If the numbers 61, 59, 56, 52, \(z\), \(y\), \(x\), were generated following a specific pattern of regularity, what is the value of \(x\)?

  1. 47

  2. 34

  3. 31

  4. 33

  5. 35

Try to solve it before checking the answer.
  1. 34

If we subtract its successor from each number, we get:
This diagram clearly shows us the pattern of regularity. We see that: \[ \begin{aligned} z &= 52 – 5 = 47, \\[1em] y &= z – 6 = 47 – 6 = 41, \\[1em] x &= y – 7 = 41 – 7 = \boldsymbol{34} \end{aligned} \]