Question: What is the 5th term of the arithmetic sequence 3, 7, 11, ...?
Options:
15
19
23
27
Correct Answer: 19
Solution:
The common difference is 4; thus, the 5th term is 3 + 4*4 = 19.
What is the 5th term of the arithmetic sequence 3, 7, 11, ...?
Practice Questions
Q1
What is the 5th term of the arithmetic sequence 3, 7, 11, ...?
15
19
23
27
Questions & Step-by-Step Solutions
What is the 5th term of the arithmetic sequence 3, 7, 11, ...?
Correct Answer: 19
Step 1: Identify the first term of the sequence. The first term is 3.
Step 2: Identify the second term of the sequence. The second term is 7.
Step 3: Calculate the common difference by subtracting the first term from the second term: 7 - 3 = 4.
Step 4: Use the common difference to find the 5th term. The formula for the nth term in an arithmetic sequence is: first term + (n - 1) * common difference.
Step 5: Plug in the values: first term (3) + (5 - 1) * common difference (4).
Step 6: Calculate: 3 + 4 * 4 = 3 + 16 = 19.
Step 7: The 5th term of the sequence is 19.
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.
Nth Term Formula – 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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