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ACT Exam  >  ACT Questions  >  Which of the following statements is NOT true... Start Learning for Free
Which of the following statements is NOT true about the arithmetic sequence 16, 11, 6, 1, …?
  • a)
    The fifth term is -4.
  • b)
    The sum of the first 5 terms is 30.
  • c)
    The seventh term is -12.
  • d)
    The common difference of consecutive integers is -5.
  • e)
    The sum of the first 7 terms is 7.
Correct answer is option 'C'. Can you explain this answer?
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Which of the following statements is NOT true about the arithmetic seq...
The best way to solve this problem is to use the process of elimination. Remember that you are looking for the answer that is NOT true! First, determine the common difference of the sequence: 16 + (-5) = 11; 11 + (-5) = 6; 6 + (-5) = 1. The common difference is -5, so eliminate answer choice D. Now, consider each of the remaining answer choices:
Answer choice A: The common difference is -5, so the fifth term is 1 + (-5) = -4; eliminate answer choice A.
Answer choice B: The sum of the first five terms is 16 + 11 + 6 + 1 + -4 = 30; eliminate answer choice B.
Answer choice C: If the fifth term is -4, the sixth term is -4 + (-5) = -9, and the seventh term is -9 + (-5) = -14. Answer choice C is correct because it is NOT true.
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Which of the following statements is NOT true about the arithmetic sequence 16, 11, 6, 1, …?a)The fifth term is -4.b)The sum of the first 5 terms is 30.c)The seventh term is -12.d)The common difference of consecutive integers is -5.e)The sum of the first 7 terms is 7.Correct answer is option 'C'. Can you explain this answer?
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Which of the following statements is NOT true about the arithmetic sequence 16, 11, 6, 1, …?a)The fifth term is -4.b)The sum of the first 5 terms is 30.c)The seventh term is -12.d)The common difference of consecutive integers is -5.e)The sum of the first 7 terms is 7.Correct answer is option 'C'. Can you explain this answer? for ACT 2025 is part of ACT preparation. The Question and answers have been prepared according to the ACT exam syllabus. Information about Which of the following statements is NOT true about the arithmetic sequence 16, 11, 6, 1, …?a)The fifth term is -4.b)The sum of the first 5 terms is 30.c)The seventh term is -12.d)The common difference of consecutive integers is -5.e)The sum of the first 7 terms is 7.Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for ACT 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Which of the following statements is NOT true about the arithmetic sequence 16, 11, 6, 1, …?a)The fifth term is -4.b)The sum of the first 5 terms is 30.c)The seventh term is -12.d)The common difference of consecutive integers is -5.e)The sum of the first 7 terms is 7.Correct answer is option 'C'. Can you explain this answer?.
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