If the first term of a GP is 4 and the common ratio is 3, what is the product of

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Question: If the first term of a GP is 4 and the common ratio is 3, what is the product of the first three terms?

Options:

Correct Answer: 144

Solution:

The first three terms are 4, 12, and 36. Their product = 4 * 12 * 36 = 1728.

If the first term of a GP is 4 and the common ratio is 3, what is the product of the first three terms?

If the first term of a GP is 4 and the common ratio is 3, what is the product of the first three terms?

Step 1: Identify the first term of the GP, which is given as 4.
Step 2: Identify the common ratio of the GP, which is given as 3.
Step 3: Calculate the second term by multiplying the first term by the common ratio: 4 * 3 = 12.
Step 4: Calculate the third term by multiplying the second term by the common ratio: 12 * 3 = 36.
Step 5: List the first three terms of the GP: 4, 12, and 36.
Step 6: Calculate the product of the first three terms: 4 * 12 * 36.
Step 7: Perform the multiplication: 4 * 12 = 48, then 48 * 36 = 1728.
Step 8: The final answer is the product of the first three terms, which is 1728.

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.
Product of Terms – Calculating the product of a set of numbers, which involves multiplication of the terms in the sequence.