If the second term of a GP is 12 and the common ratio is 3, what is the first te
Practice Questions
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If the second term of a GP is 12 and the common ratio is 3, what is the first term?
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Questions & Step-by-Step Solutions
If the second term of a GP is 12 and the common ratio is 3, what is the first term?
Step 1: Identify the first term of the geometric progression (GP) as 'a'.
Step 2: Understand that the second term of a GP is calculated by multiplying the first term by the common ratio. Here, the common ratio is 3.
Step 3: Write the equation for the second term: second term = a * common ratio = a * 3.
Step 4: Since the second term is given as 12, set up the equation: a * 3 = 12.
Step 5: To find 'a', divide both sides of the equation by 3: a = 12 / 3.
Step 6: Calculate the value: a = 4.
Geometric Progression (GP) – A sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.
Finding Terms in a GP – Understanding how to derive terms in a geometric progression using the first term and the common ratio.
