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# Data Sufficiency: The Question Stem - What is the Issue?

What is the sum of the terms in a sequence of consecutive integers? >(1) Exactly half of the terms in the sequence are non-negative. >(2) There are 16 terms in the sequence.
Incorrect. [[snippet]] Stat. (1+2): Combined, the two statements fix the terms of the sequence to a single possible group consecutive integers: the integers between –8 and 7, where half (–8 to –1) are negative and the other half (0 to 7) are non-negative. Knowing this enables you to figure out the sum of the sequence using the average and the number of terms. **Stat.(1+2) → S → C**.
Incorrect. [[snippet]] Stat. (1): Half of the terms in the sequence are non-negative (that is, zero or positive). Since the sequence is a sequence of consecutive integers, the other half must be negative. __Plug In__ a sequence to simulate the problem: * Try \$\$\{-2, -1, 0, 1\}\$\$, which yields a sum of –2. * Now plug in a different sequence, such as \$\$\{-3, -2, -1, 0, 1, 2\}\$\$, which yields a different sum: –3. No single value of the sum of the set can be determined, so **Stat.(1) → IS → BCE**. Stat. (2): The fact that the sequence includes 16 terms does not alone tell you what these terms are, so a single value for the sum of terms cannot be determined. **Stat.(2) → IS → CE**.
Correct. [[snippet]] Stat. (1): Half of the terms in the sequence are non-negative (that is, zero or positive). Since the sequence is a sequence of consecutive integers, the other half must be negative. __Plug In__ a sequence to simulate the problem: * Try \$\$\{-2, -1, 0, 1\}\$\$, which yields a sum of –2. * Now plug in a different sequence, such as \$\$\{-3, -2, -1, 0, 1, 2\}\$\$, which yields a different sum: –3. No single value of the sum of the set can be determined, so **Stat.(1) → IS → BCE**. Stat. (2): The fact that the sequence includes 16 terms does not alone tell you what these terms are, so a single value for the sum of terms cannot be determined. **Stat.(2) → IS → CE**. Stat. (1+2): Combined, the two statements fix the terms of the sequence to a single possible group consecutive integers: the integers between –8 and 7, where half (–8 to –1) are negative and the other half (0 to 7) are non-negative. Knowing this enables you to figure out the sum of the sequence using the average and the number of terms. **Stat.(1+2) → S → C**.
Incorrect. [[snippet]] Stat. (2): The fact that the sequence includes 16 terms does not alone tell you what these terms are, so a single value for the sum of terms cannot be determined. **Stat.(2) → IS → ACE**.
Incorrect. [[snippet]] Stat. (1): Half of the terms in the sequence are non-negative (that is, zero or positive). Since the sequence is a sequence of consecutive integers, the other half must be negative. __Plug In__ a sequence to simulate the problem: * Try \$\$\{-2, -1, 0, 1\}\$\$, which yields a sum of –2. * Now plug in a different sequence, such as \$\$\{-3, -2, -1, 0, 1, 2\}\$\$, which yields a different sum: –3. No single value of the sum of the set can be determined, so **Stat.(1) → IS → BCE**.
Statement (1) ALONE is sufficient, but Statement (2) alone is not sufficient to answer the question asked.
Statement (2) ALONE is sufficient, but Statement (1) alone is not sufficient to answer the question asked.
BOTH Statements (1) and (2) TOGETHER are sufficient to answer the question asked, but NEITHER statement ALONE is sufficient to answer the question asked.