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If the second term of a GP is 12 and the common ratio is 2, what is the first te
If the second term of a GP is 12 and the common ratio is 2, what is the first term?
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Q1
If the second term of a GP is 12 and the common ratio is 2, what is the first term?
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Let the first term be a. The second term is a * r = a * 2 = 12, thus a = 12/2 = 6.
Questions & Step-by-step Solutions
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Q
Q: If the second term of a GP is 12 and the common ratio is 2, what is the first term?
Solution:
Let the first term be a. The second term is a * r = a * 2 = 12, thus a = 12/2 = 6.
Steps: 6
Show Steps
Step 1: Identify the first term of the GP as 'a'.
Step 2: Understand that the second term of a GP is found by multiplying the first term by the common ratio.
Step 3: Write the equation for the second term: second term = a * r.
Step 4: Substitute the known values into the equation: 12 = a * 2.
Step 5: To find 'a', divide both sides of the equation by 2: a = 12 / 2.
Step 6: Calculate the value: a = 6.
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