Question: What is the 10th term of the arithmetic sequence 2, 5, 8, ...?
Options:
29
30
31
32
Correct Answer: 29
Solution:
The nth term is given by 2 + (n-1) * 3. For n=10, it is 2 + 27 = 29.
What is the 10th term of the arithmetic sequence 2, 5, 8, ...?
Practice Questions
Q1
What is the 10th term of the arithmetic sequence 2, 5, 8, ...?
29
30
31
32
Questions & Step-by-Step Solutions
What is the 10th term of the arithmetic sequence 2, 5, 8, ...?
Correct Answer: 29
Step 1: Identify the first term of the sequence. The first term is 2.
Step 2: Identify the common difference between the terms. The difference between 5 and 2 is 3 (5 - 2 = 3).
Step 3: Write the formula for the nth term of an arithmetic sequence. The formula is: first term + (n - 1) * common difference.
Step 4: Substitute the values into the formula. For the 10th term (n = 10), it becomes: 2 + (10 - 1) * 3.
Step 5: Calculate (10 - 1) which is 9.
Step 6: Multiply 9 by the common difference (3). So, 9 * 3 = 27.
Step 7: Add this result to the first term. So, 2 + 27 = 29.
Step 8: Conclude that the 10th term of the sequence is 29.
Arithmetic Sequence – An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.
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 and d is the common difference.
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