Geometric Sequences and Partial Sums

The video tutorial explains how to find the partial sum of the first six terms of a geometric sequence with a first term of 2 and a common ratio of 3. It introduces the partial sum formula for geometric sequences and demonstrates its application to calculate S sub 6. The tutorial also verifies the calculation by finding each term individually and summing them, confirming the accuracy of the formula application.

What is the main goal of the lesson?

• To find the partial sum of a geometric sequence

• To calculate the common ratio of a sequence

• To determine the first term of a sequence

• To solve linear equations

What is the first term of the given geometric sequence?

• 3

• 1

• 2

• 6

What is the common ratio of the sequence?

• 2

• 3

• 4

• 5

What formula is used to find the partial sum of a geometric sequence?

• S = n/2(a + l)

• S = a + (n - 1)d

• S = a(1 - r^n)/(1 - r)

• S = n(a + l)/2

How many terms are summed in this example?

• Six

• Five

• Seven

• Eight

What is the value of 3 raised to the power of 6?

• 81

• 512

• 243

• 729

What is the result of dividing -728 by -2?

• -728

• -364

• 728

• 364

What is the first term in the sequence when verifying the sum?

• 2

• 3

• 6

• 9

What is the second term in the sequence?

• 6

• 9

• 12

• 18

What is the third term in the sequence?

• 18

• 27

• 54

• 36