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What is the 5th term of the arithmetic sequence where the first term is 2 and th
What is the 5th term of the arithmetic sequence where the first term is 2 and the common difference is 3?
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Q1
What is the 5th term of the arithmetic sequence where the first term is 2 and the common difference is 3?
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The nth term is given by a_n = a_1 + (n-1)d. Here, a_5 = 2 + 4*3 = 14.
Questions & Step-by-step Solutions
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Q
Q: What is the 5th term of the arithmetic sequence where the first term is 2 and the common difference is 3?
Solution:
The nth term is given by a_n = a_1 + (n-1)d. Here, a_5 = 2 + 4*3 = 14.
Steps: 9
Show Steps
Step 1: Identify the first term of the sequence, which is given as 2. This is a_1.
Step 2: Identify the common difference of the sequence, which is given as 3. This is d.
Step 3: Determine which term you want to find. In this case, we want the 5th term, so n = 5.
Step 4: Use the formula for the nth term of an arithmetic sequence: a_n = a_1 + (n-1)d.
Step 5: Substitute the values into the formula: a_5 = 2 + (5-1) * 3.
Step 6: Calculate (5-1) which equals 4.
Step 7: Multiply 4 by the common difference (3): 4 * 3 = 12.
Step 8: Add this result to the first term: 2 + 12 = 14.
Step 9: Therefore, the 5th term of the sequence is 14.
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