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If the first term of an arithmetic series is 5 and the common difference is 3, w
If the first term of an arithmetic series is 5 and the common difference is 3, what is the 15th term?
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Q1
If the first term of an arithmetic series is 5 and the common difference is 3, what is the 15th term?
44
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43
42
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a_n = a + (n-1)d = 5 + (15-1) * 3 = 5 + 42 = 47.
Questions & Step-by-step Solutions
1 item
Q
Q: If the first term of an arithmetic series is 5 and the common difference is 3, what is the 15th term?
Solution:
a_n = a + (n-1)d = 5 + (15-1) * 3 = 5 + 42 = 47.
Steps: 9
Show Steps
Step 1: Identify the first term of the arithmetic series, which is given as 5.
Step 2: Identify the common difference, which is given as 3.
Step 3: Identify the term number we want to find, which is the 15th term (n = 15).
Step 4: Use the formula for the nth term of an arithmetic series: a_n = a + (n-1)d.
Step 5: Substitute the values into the formula: a_n = 5 + (15-1) * 3.
Step 6: Calculate (15-1) which equals 14.
Step 7: Multiply 14 by the common difference (3): 14 * 3 = 42.
Step 8: Add this result to the first term: 5 + 42 = 47.
Step 9: The 15th term of the series is 47.
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