How to write the explicit formula of a geometric sequence given two terms of

The video tutorial covers the use of explicit formulas in sequences, focusing on substituting variables and determining the ratio R. The teacher explains how to correctly calculate the ratio by addressing common errors, such as incorrect subtraction instead of division. Once the ratio is determined, it is applied to find the first term in the sequence. The lesson concludes with some casual remarks.

What must you ensure when substituting values into an explicit formula?

• Use the same number for all variables

• Substitute different numbers for each variable

• Ensure consistency in the values substituted for corresponding variables

• Only substitute values for one variable

What is the correct operation to find the ratio (R) when given two terms?

• Add the two terms

• Divide the larger term by the smaller term

• Subtract the smaller term from the larger term

• Multiply the two terms

After finding the ratio, what is the next step in solving the explicit formula?

• Verify the ratio by recalculating

• Recalculate the ratio

• Determine the initial term using the ratio

• Choose a different set of terms

Why is it beneficial to choose terms with smaller numbers when calculating?

• Smaller numbers are easier to multiply

• It reduces the chance of errors

• It simplifies the calculation process

• Smaller numbers are more accurate

What is the value of the initial term (A1) in the given example?

• 16

• 7

• 112

• 4