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URL: https://nakafa.com/en/exercises/high-school/snbt/general-reasoning/try-out/2026/set-9/13

Exercises: Try Out 2026 - Set 9: Real exam simulation to sharpen your skills and build confidence. - Question 13

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## Exercise 13

### Question

export const metadata = {
  title: "Question 13",
  authors: [{ name: "Nabil Akbarazzima Fatih" }],
  date: "01/30/2026",
};

<InlineMath math="3" />, <InlineMath math="5" />, <InlineMath math="9" />, <InlineMath math="15" />, <InlineMath math="16" />, <InlineMath math="19" />, <InlineMath math="24" />, <InlineMath math="26" />, <InlineMath math="30" />, <InlineMath math="36" />, ...

Which of the following is correct to complete the sequence pattern?


### Choices

- [x] $$37$$
- [ ] $$38$$
- [ ] $$39$$
- [ ] $$40$$
- [ ] $$41$$

### Answer & Explanation

export const metadata = {
  title: "Explanation for Question 13",
  authors: [{ name: "Nabil Akbarazzima Fatih" }],
  date: "01/30/2026",
};

The number sequence follows a combination of two alternating addition patterns. Observing the differences between terms reveals a repeating cycle:

<MathContainer>
  <BlockMath math="\begin{aligned} 3 \xrightarrow{+2} 5 \xrightarrow{+4} 9 \xrightarrow{+6} 15 \\ 15 \xrightarrow{+1} 16 \xrightarrow{+3} 19 \xrightarrow{+5} 24 \\ 24 \xrightarrow{+2} 26 \xrightarrow{+4} 30 \xrightarrow{+6} 36 \end{aligned}" />
</MathContainer>

The pattern consists of two groups of differences:
1.  First group: <InlineMath math="+2" />, <InlineMath math="+4" />, <InlineMath math="+6" />
2.  Second group: <InlineMath math="+1" />, <InlineMath math="+3" />, <InlineMath math="+5" />

After the term <InlineMath math="36" />, the cycle returns to the second group pattern, starting with <InlineMath math="+1" />.

Thus, the next term is:

<MathContainer>
  <BlockMath math="36 + 1 = 37" />
</MathContainer>

Therefore, the correct number to complete the sequence is <InlineMath math="37" />.


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