In a geometric progression, if the first term is 5 and the last term is 80 with

In a geometric progression, if the first term is 5 and the last term is 80 with 4 terms in total, what is the common ratio?

In a geometric progression, if the first term is 5 and the last term is 80 with 4 terms in total, what is the common ratio?

Step 1: Identify the first term (a) of the geometric progression, which is given as 5.
Step 2: Identify the last term of the geometric progression, which is given as 80.
Step 3: Determine the number of terms (n) in the geometric progression, which is given as 4.
Step 4: Use the formula for the last term of a geometric progression: last term = a * r^(n-1).
Step 5: Substitute the known values into the formula: 80 = 5 * r^(4-1).
Step 6: Simplify the equation: 80 = 5 * r^3.
Step 7: Divide both sides by 5 to isolate r^3: 80 / 5 = r^3, which simplifies to 16 = r^3.
Step 8: Find the value of r by taking the cube root of both sides: r = 2.

No concepts available.