To find the pattern in the given sequence 5, 52, 521, 526, ?, we can look at the differences between consecutive terms:
1st difference: 52 - 5 = 47
2nd difference: 521 - 52 = 469
3rd difference: 526 - 521 = 5
We can observe that the 2nd difference is decreasing by one each time. Therefore, the next difference should be 4. Adding this difference to the last term in the sequence, 526, gives us the missing term:
526 + 4 = 530
So, the missing term in the sequence is 530.
Now, let's go through each option to determine the correct answer:
Option A) 5210 - This option is incorrect because it does not follow the pattern in the given sequence.
Option B) 5213 - This option is correct because it follows the pattern in the given sequence (526 + 4 = 530).
Option C) 5215 - This option is incorrect because it does not follow the pattern in the given sequence.
Option D) 5218 - This option is incorrect because it does not follow the pattern in the given sequence.
Therefore, the correct answer is option B) 5213.