What is the 4th term of the arithmetic sequence where the first term is 10 and t

Practice Questions

Q1
What is the 4th term of the arithmetic sequence where the first term is 10 and the common difference is -2? (2023)
  1. 6
  2. 4
  3. 2
  4. 0

Questions & Step-by-Step Solutions

What is the 4th term of the arithmetic sequence where the first term is 10 and the common difference is -2? (2023)
  • Step 1: Identify the first term of the sequence, which is given as 10.
  • Step 2: Identify the common difference of the sequence, which is given as -2.
  • Step 3: Determine the position of the term we want to find, which is the 4th term.
  • Step 4: Use the formula for the nth term of an arithmetic sequence: a + (n-1)d.
  • Step 5: Substitute the values into the formula: 10 + (4-1)(-2).
  • Step 6: Calculate (4-1) which equals 3.
  • Step 7: Multiply 3 by -2 to get -6.
  • Step 8: Add 10 and -6 together: 10 - 6 equals 4.
  • Step 9: Conclude that the 4th term of the sequence is 4.
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