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Find the 10th term of the sequence defined by a_n = 3n + 2.

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Question: Find the 10th term of the sequence defined by a_n = 3n + 2.

Options:

  1. 32
  2. 30
  3. 28
  4. 34

Correct Answer: 32

Solution: 

a_10 = 3(10) + 2 = 30 + 2 = 32.

Find the 10th term of the sequence defined by a_n = 3n + 2.

Practice Questions

Q1
Find the 10th term of the sequence defined by a_n = 3n + 2.
  1. 32
  2. 30
  3. 28
  4. 34

Questions & Step-by-Step Solutions

Find the 10th term of the sequence defined by a_n = 3n + 2.
  • Step 1: Identify the formula for the sequence, which is a_n = 3n + 2.
  • Step 2: Determine which term you want to find. In this case, we want the 10th term, so n = 10.
  • Step 3: Substitute n = 10 into the formula: a_10 = 3(10) + 2.
  • Step 4: Calculate 3 times 10, which is 30.
  • Step 5: Add 2 to the result from Step 4: 30 + 2 = 32.
  • Step 6: The 10th term of the sequence is 32.
  • Arithmetic Sequences – Understanding how to find specific terms in a linear sequence defined by a formula.
  • Substitution – Applying the correct value of n into the formula to calculate the term.
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