Question

തന്നിരിക്കുന്ന ശ്രേണി പൂരിപ്പിക്കുക : 4, 9, .......... , 49, 121, 169,....

• A. (25,289)
• B. (16, 289)
• C. (36,100)
• D. (16,100)

Answer 1

Answer:

A. (25,289)

Let’s analyze the sequence:

4, 9, ___ , 49, 121, 169, ___

Identify pattern

These are perfect squares:

• $4 = (2^2)$

• $9 = (3^2)$

---

• $49 = (7^2)$

• $121 = (11^2)$

• $169 = (13^2)$

So the numbers are squares of consecutive primes:
$2^2, 3^2, 5^2, 7^2, 11^2, 13^2, 17^2$

Fill blanks

• Missing term after 9:
  $5^2 = 25$
  

• Missing term after 169:
  $17^2 = 289$
  

  Final Answer: 25, 289