Question:
What is missing in the blank below?
\[
25,\ 49,\ 121,\ 169,\ \_ \_ \_ \_
\]
What is missing in the blank below?
\[ 25,\ 49,\ 121,\ 169,\ \_ \_ \_ \_ \]
\[ 25,\ 49,\ 121,\ 169,\ \_ \_ \_ \_ \]
Show Hint
When a series contains perfect squares, check whether the bases follow prime numbers or odd numbers.
Updated On: Jul 4, 2026
- \(361\)
- \(225\)
- \(289\)
- \(441\)
Show Solution
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The Correct Option is C
Solution and Explanation
Concept:
The sequence is \[ 25,\ 49,\ 121,\ 169,\ _ _ _ _ \] These are squares of prime numbers.
Step 1: Write the given terms as squares. \[ 25=5^2 \] \[ 49=7^2 \] \[ 121=11^2 \] \[ 169=13^2 \]
Step 2: Identify the prime sequence. The primes are \[ 5,\ 7,\ 11,\ 13 \] The next prime number is \[ 17 \]
Step 3: Find the next term. \[ 17^2=289 \]
Step 4: Final answer. \[ \boxed{289} \]
The sequence is \[ 25,\ 49,\ 121,\ 169,\ _ _ _ _ \] These are squares of prime numbers.
Step 1: Write the given terms as squares. \[ 25=5^2 \] \[ 49=7^2 \] \[ 121=11^2 \] \[ 169=13^2 \]
Step 2: Identify the prime sequence. The primes are \[ 5,\ 7,\ 11,\ 13 \] The next prime number is \[ 17 \]
Step 3: Find the next term. \[ 17^2=289 \]
Step 4: Final answer. \[ \boxed{289} \]
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