Question:

In the sequence \( 6, 9, 14, x, 30, 41 \), a possible value of \( x \) is:

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When solving sequence problems, analyze the differences or ratios between consecutive terms to identify patterns.

Updated On: Jan 23, 2025

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The Correct Option is B

Solution and Explanation

Step 1: Identify the pattern in the sequence.
The given sequence is \( 6, 9, 14, x, 30, 41 \). To find the missing value \( x \), observe the differences between consecutive terms: \[ 9 - 6 = 3, \quad 14 - 9 = 5. \] The differences are increasing by 2: \( 3, 5, \ldots \). The next difference should be \( 7 \): \[ x - 14 = 7 \implies x = 14 + 7 = 21. \] Verify the pattern for the next terms: \[ 30 - 21 = 9, \quad 41 - 30 = 11. \] The differences \( 7, 9, 11 \) confirm the pattern. Final Answer: \[ \boxed{21} \]

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Questions Asked in GATE CS exam

What is the output of the following C code?

  void foo(int *p, int x) {
      *p = x;
  }

  void main() {
      int *z;
      int a = 20, b = 25;
      z = a;  // Incorrect: Should be z = a;
      foo(z, b);
      printf("%d", a);
  }

Issue: The statement z = a; is invalid because a is an integer, and z is a pointer.

GATE CS - 2025
Trees

View Solution

Consider the following C code:

int main() {
    sum = 0;
    for (n = 1; n < 3; n++) {
        n++;
        sum += g(f(n));
    }
    printf("%d", sum);
}

int g(n) {
    return 10 + n;
}

int f(n) {
    return g(2 * n);
}

What is the output?

GATE CS - 2025
Stacks