If the second term of a GP is 6 and the common ratio is 3, what is the first ter
Practice Questions
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If the second term of a GP is 6 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 6 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 (r) is 3.
Step 3: Write the equation for the second term: second term = a * r. Since the second term is given as 6, we can write: 6 = a * 3.
Step 4: To find 'a', rearrange the equation: a = 6 / 3.
Step 5: Calculate the value of 'a': a = 2.
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 express terms in a geometric progression using the first term and the common ratio.
