If the first term of a GP is x and the common ratio is y, which of the following

If the first term of a GP is x and the common ratio is y, which of the following represents the 4th term?

If the first term of a GP is x and the common ratio is y, which of the following represents the 4th term?

Step 1: Understand that a GP (Geometric Progression) has a first term and a common ratio.
Step 2: Identify the first term, which is given as 'x'.
Step 3: Identify the common ratio, which is given as 'y'.
Step 4: Recall the formula for the nth term of a GP, which is: nth term = first term * (common ratio)^(n-1).
Step 5: To find the 4th term, set n = 4 in the formula.
Step 6: Substitute the values into the formula: 4th term = x * y^(4-1).
Step 7: Simplify the exponent: 4-1 = 3, so the formula becomes 4th term = x * y^3.
Step 8: Write the final answer as xy^3.

No concepts available.