Given the first term and the ratio find the nth term of a geometric sequence

The video tutorial explains how to calculate the 12th term of a geometric series using a given formula. The instructor sets the initial term, common ratio, and number of terms, then demonstrates the calculation process. The final result is discussed, highlighting the importance of multiplying by the initial term.

What is the initial term (a1) of the geometric series discussed in the video?

• 3

• 6

• 9

• 12

What is the common ratio (r) used in the geometric series?

• -1/3

• -1/2

• 1/2

• 1/3

Which formula is used to find the nth term of a geometric series?

• a1 * r^(n-1)

• a1 / r^(n-1)

• a1 + (n-1)d

• a1 * n

What power is the common ratio raised to when calculating the 12th term?

• 13

• 12

• 10

• 11

What is the final calculated value of the 12th term in the series?

• -0.123433

• 0.123433

• -0.234567

• 0.234567