In a series where each term is multiplied by 3 to get the next term, if the firs

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Question: In a series where each term is multiplied by 3 to get the next term, if the first term is 1, what is the 4th term? (2023)

Options:

Correct Answer: 243

Exam Year: 2023

Solution:

The series is 1, 3, 9, 27. The 4th term is 27.

In a series where each term is multiplied by 3 to get the next term, if the first term is 1, what is the 4th term? (2023)

In a series where each term is multiplied by 3 to get the next term, if the first term is 1, what is the 4th term? (2023)

Step 1: Identify the first term of the series, which is given as 1.
Step 2: Understand that each term is multiplied by 3 to get the next term.
Step 3: Calculate the second term by multiplying the first term (1) by 3. This gives us 1 * 3 = 3.
Step 4: Calculate the third term by multiplying the second term (3) by 3. This gives us 3 * 3 = 9.
Step 5: Calculate the fourth term by multiplying the third term (9) by 3. This gives us 9 * 3 = 27.
Step 6: Conclude that the 4th term of the series is 27.

Geometric Series – A sequence where each term is found by multiplying the previous term by a constant factor (in this case, 3).
Exponential Growth – Understanding how terms grow exponentially based on a constant multiplier.