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Recursive squaring pattern: Find the next term in 3, 10, 101, ? Clue: each term is one more than the square of the previous term. Compute the next term explicitly. Choose the correct value.

Q: Recursive squaring pattern: Find the next term in 3, 10, 101, ? Clue: each term is one more than the square of the previous term. Compute the next term explicitly. Choose the correct value.

Recognize the rule an+1 = an2 + 1 Verify 3 → 3² + 1 = 9 + 1 = 10 10 → 10² + 1 = 100 + 1 = 101 Next term 101 → 101² + 1 = 10201 + 1 = 10202

Difficulty: Easy

10101
10201
10202
11012

Correct Answer: 10202

Explanation:

Recognize the rule
a_n+1 = a_n² + 1

Verify
3 → 3² + 1 = 9 + 1 = 10 10 → 10² + 1 = 100 + 1 = 101

Next term
101 → 101² + 1 = 10201 + 1 = 10202

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