Evaluate the geometric sequence given two values

The video tutorial explains how to find a specific term in a geometric series. It begins by introducing the problem and the concept of a geometric series. The teacher then explains the geometric formula and identifies known values. The lesson proceeds with solving for the ratio 'r' using given values and calculating the n-th term. The tutorial concludes with a summary and addresses any questions.

What is the formula for the n-th term in a geometric sequence?

• a sub n equals a sub 1 divided by r raised to the n

• a sub n equals a sub 1 times n raised to the r

• a sub n equals a sub 1 plus r times n

• a sub n equals a sub 1 times r raised to the n minus 1

How do you find the common ratio 'r' in a geometric sequence?

• By adding a sub 4 to a sub 1 and taking the square root

• By dividing a sub 4 by a sub 1 and taking the cube root

• By dividing a sub 4 by a sub 1 and taking the square root

• By multiplying a sub 4 by a sub 1 and taking the cube root

What is the value of the common ratio 'r' if a sub 4 is 27/4 and a sub 1 is 16?

• 2/3

• 1/2

• 3/4

• 4/3

What is the third term of the sequence if a sub 1 is 16 and the common ratio is 3/4?

• 12

• 9

• 16

• 27

How do you simplify the expression 16 times 9 over 16?

• It simplifies to 1

• It simplifies to 9

• It simplifies to 16

• It simplifies to 27