Arithmetic Progressions
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Questions and Answers

An arithmetic progression is a sequence of numbers in which the difference between any two consecutive terms is constant.

  • b) $a_n = a_1 + nd$
  • c) $a_n = a_1 + d$
  • d) $a_n = a_1 - (n-1)d$
  • a) $a_n = a_1 + (n-1)d$ (correct)
  • "An arithmetic progression with a common difference of 2 can be written as 5, 7, 9, 11, 13, 15, ..." What is the 10th term of this arithmetic progression?

  • d) 23
  • b) 21
  • c) 22 (correct)
  • a) 20
  • "A finite portion of an arithmetic progression is called a finite arithmetic progression." Which of the following is an example of a finite arithmetic progression?

  • a) 1, 2, 3, 4, 5, ...
  • b) 3, 6, 9, 12, ... (correct)
  • d) -2, -4, -6, -8, ...
  • c) 0, 1, 2, 3, 4, ...
  • "The sum of a finite arithmetic progression is called an arithmetic series." What is the sum of the arithmetic series 2 + 5 + 8 + 11 + 14?

    <p>c) 45</p> Signup and view all the answers

    "According to an anecdote of uncertain reliability, young Carl Friedrich Gauss discovered a clever trick to find the sum of an arithmetic series." What is the sum of the arithmetic series 1 + 2 + 3 + ... + 100?

    <p>c) 5050</p> Signup and view all the answers

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