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If the first term of an arithmetic progression is 7 and the common difference is
If the first term of an arithmetic progression is 7 and the common difference is -2, what is the 8th term?
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If the first term of an arithmetic progression is 7 and the common difference is -2, what is the 8th term?
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Using the formula for the nth term, a + (n-1)d = 7 + (8-1)(-2) = 7 - 14 = -7.
Questions & Step-by-step Solutions
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Q
Q: If the first term of an arithmetic progression is 7 and the common difference is -2, what is the 8th term?
Solution:
Using the formula for the nth term, a + (n-1)d = 7 + (8-1)(-2) = 7 - 14 = -7.
Steps: 9
Show Steps
Step 1: Identify the first term of the arithmetic progression, which is given as 7.
Step 2: Identify the common difference, which is given as -2.
Step 3: Determine which term we want to find. In this case, we want to find the 8th term.
Step 4: Use the formula for the nth term of an arithmetic progression: nth term = first term + (n - 1) * common difference.
Step 5: Substitute the values into the formula: 8th term = 7 + (8 - 1) * (-2).
Step 6: Calculate (8 - 1), which equals 7.
Step 7: Multiply 7 by -2, which equals -14.
Step 8: Add the result to the first term: 7 + (-14) = 7 - 14.
Step 9: Calculate the final result: 7 - 14 equals -7.
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