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If the nth term of a sequence is given by a_n = 5n - 3, what is the value of a_7

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Question: If the nth term of a sequence is given by a_n = 5n - 3, what is the value of a_7? (2023)

Options:

  1. 32
  2. 34
  3. 36
  4. 38

Correct Answer: 34

Exam Year: 2023

Solution: 

Substituting n = 7 into the formula gives a_7 = 5*7 - 3 = 35 - 3 = 32.

If the nth term of a sequence is given by a_n = 5n - 3, what is the value of a_7

Practice Questions

Q1
If the nth term of a sequence is given by a_n = 5n - 3, what is the value of a_7? (2023)
  1. 32
  2. 34
  3. 36
  4. 38

Questions & Step-by-Step Solutions

If the nth term of a sequence is given by a_n = 5n - 3, what is the value of a_7? (2023)
  • Step 1: Identify the formula for the nth term of the sequence, which is a_n = 5n - 3.
  • Step 2: Substitute the value of n with 7 in the formula. This means we replace n with 7.
  • Step 3: Calculate the expression: a_7 = 5 * 7 - 3.
  • Step 4: First, multiply 5 by 7 to get 35.
  • Step 5: Then, subtract 3 from 35 to get the final result.
  • Step 6: The final result is a_7 = 32.
  • Arithmetic Sequences – Understanding how to calculate specific terms in a linear sequence defined by a formula.
  • Substitution – The process of replacing a variable in an equation with a specific value to find a result.
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