Arithmetic Progressions and Common Differences Quiz
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Questions and Answers

What is the formula for the nth term of an arithmetic progression?

  • $a_n = a_1 + n + d$
  • $a_n = a_1 - (n - 1)d$
  • $a_n = a_1 + (n - 1)d$ (correct)
  • $a_n = a_1 + n - 1$

What is the common difference in the arithmetic progression 5, 7, 9, 11, 13, 15?

  • 3
  • 4
  • 2 (correct)
  • 1

What is the first term in the arithmetic progression 5, 7, 9, 11, 13, 15?

  • 5 (correct)
  • 7
  • 9
  • 11

What is the 5th term in the arithmetic progression 5, 7, 9, 11, 13, 15?

<p>13 (A)</p> Signup and view all the answers

What is the sum of the first 5 terms in the arithmetic progression 5, 7, 9, 11, 13?

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

What is the 10th term in the arithmetic progression 5, 7, 9, 11, 13, 15?

<p>25 (D)</p> Signup and view all the answers

What is the common difference in the arithmetic progression 7, 10, 13, 16, 19?

<p>3 (D)</p> Signup and view all the answers

What is the first term in the arithmetic progression where the 5th term is 23 and the common difference is 4?

<p>7 (B)</p> Signup and view all the answers

What is the sum of the first 10 terms in the arithmetic progression 3, 7, 11, 15, 19?

<p>150 (B)</p> Signup and view all the answers

What is the 8th term in the arithmetic progression where the first term is 2 and the common difference is 5?

<p>47 (B)</p> Signup and view all the answers

What is the 10th term of an arithmetic progression with a first term of 3 and a common difference of 5?

<p>53 (A)</p> Signup and view all the answers

What is the sum of the first 10 terms of an arithmetic progression with a first term of 3 and a common difference of 5?

<p>275 (B)</p> Signup and view all the answers

What is the common difference of an arithmetic progression where the 5th term is 23 and the first term is 3?

<p>4 (D)</p> Signup and view all the answers

What is the first term of an arithmetic progression where the 7th term is 40 and the common difference is 6?

<p>18 (C)</p> Signup and view all the answers

What is the 15th term of an arithmetic progression where the 10th term is 45 and the common difference is 3?

<p>66 (C)</p> Signup and view all the answers

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