Solving the Repetitive Pattern String Puzzle

This solution details how to find the correct sequence of letters to create a repetitive pattern in a given string with blanks.

Understanding the String Structure

The given string is: $_stu_vuts_rst_vvu_sr$. There are 5 blanks that need to be filled sequentially.

Let the blanks be represented by B1, B2, B3, B4, and B5. The string structure is:

$B1$stu$B2$vuts$B3$rst$B4$vvu$B5$sr

We need to find a 5-letter sequence that, when placed in B1 to B5, results in a repeating pattern.

Testing the Correct Sequence: Option A ($rvrut$)

Let's substitute the sequence $rvrut$ into the blanks:

• B1 = $r$
• B2 = $v$
• B3 = $r$
• B4 = $u$
• B5 = $t$

Placing these letters into the string yields:

$r$stu$v$vuts$r$rst$u$vvu$t$sr

Combining these gives the complete string: $rstuvvutsrrstuvvutsr$.

Identifying the Repetitive Pattern

Now, let's examine the resulting string $rstuvvutsrrstuvvutsr$ for a repetitive pattern.

The string has a total length of 20 characters.

We can observe that the string consists of the sequence $rstuvvutsr$ repeated twice:

• First block: $rstuvvutsr$
• Second block: $rstuvvutsr$

Therefore, the sequence $rvrut$ successfully creates the repetitive pattern $rstuvvutsr$.