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If a sequence is defined by the formula a_n = 3n + 2, what is the value of a_7?

Practice Questions

Q1
If a sequence is defined by the formula a_n = 3n + 2, what is the value of a_7? (2023)
  1. 23
  2. 20
  3. 19
  4. 25

Questions & Step-by-Step Solutions

If a sequence is defined by the formula a_n = 3n + 2, what is the value of a_7? (2023)
  • Step 1: Identify the formula for the sequence, which is a_n = 3n + 2.
  • Step 2: Determine the value of n we need to use. In this case, n = 7.
  • Step 3: Substitute n = 7 into the formula. This means we replace n with 7 in the formula: a_7 = 3(7) + 2.
  • Step 4: Calculate 3 times 7. This gives us 21.
  • Step 5: Add 2 to the result from Step 4. So, 21 + 2 equals 23.
  • Step 6: Conclude that the value of a_7 is 23.
  • Sequence Evaluation – The question tests the ability to evaluate a sequence defined by a formula by substituting a specific value for n.
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