Multiple choice

What is the 99th term of the series S? (A) The first 4 four terms are (1 + 1)2, (2 + 1)2, (3 + 1)2 and (4 + 1)2. (B) For every X, the Xth term of S is (X + 1)2.

  1. If the question can be solved using any one of the statements.

  2. If the question can be solved using either of the statements.

  3. If the question can be solved using both but not either alone.

  4. If the question cannot be solved using the given statements.
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Statement A provides the first 4 terms, which follow the pattern (n+1)^2. Statement B explicitly gives the general formula for the Xth term as (X+1)^2. Either statement is sufficient to find the 99th term.

AI explanation

Statement B gives the direct formula for the nth term of the series as (X + 1) squared, which is sufficient to find the 99th term by substituting 99 for X. Statement A provides the first four terms as (1 + 1) squared, (2 + 1) squared, (3 + 1) squared and (4 + 1) squared, which establishes the exact same general pattern. Therefore, the question can be solved independently by using either of the statements.

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