Question: What is the 5th term in the arithmetic sequence 2, 5, 8, ...?
Options:
14
15
16
17
Correct Answer: 14
Solution:
The common difference is 3. The 5th term is 2 + 4*3 = 14.
What is the 5th term in the arithmetic sequence 2, 5, 8, ...?
Practice Questions
Q1
What is the 5th term in the arithmetic sequence 2, 5, 8, ...?
14
15
16
17
Questions & Step-by-Step Solutions
What is the 5th term in the arithmetic sequence 2, 5, 8, ...?
Correct Answer: 14
Step 1: Identify the first term of the sequence. The first term is 2.
Step 2: Identify the second term of the sequence. The second term is 5.
Step 3: Calculate the common difference by subtracting the first term from the second term: 5 - 2 = 3.
Step 4: Identify the position of the term we want to find. We want the 5th term.
Step 5: Use the formula for the nth term of an arithmetic sequence: nth term = first term + (n - 1) * common difference.
Step 6: Plug in the values: 5th term = 2 + (5 - 1) * 3.
Step 7: Simplify the equation: 5th term = 2 + 4 * 3.
Step 8: Calculate 4 * 3 = 12.
Step 9: Add 2 + 12 = 14.
Step 10: The 5th term in the sequence is 14.
Arithmetic Sequence – An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.
Common Difference – The common difference is the fixed amount added to each term to get the next term in the sequence.
Term Calculation – The nth term of an arithmetic sequence can be calculated using the formula: a_n = a_1 + (n-1)d, where a_1 is the first term, d is the common difference, and n is the term number.
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