Understanding Partial Sums and Series

The video tutorial explains how to find the seventh term (a sub 7) of a series using the nth partial sum formula. The instructor demonstrates the process by calculating the sum of the first seven terms and the first six terms, then finding their difference. The tutorial includes arithmetic operations and simplification to arrive at the final result, which is 27/28.

What is the formula given for the nth partial sum of the series?

• N plus 1 over n squared plus 1

• N squared plus 1 over n plus 1

• N squared minus 1 over n minus 1

• N cubed plus 2 over n plus 2

How can the seventh term be expressed in terms of partial sums?

• As the sum of the first six terms

• As the product of the first seven terms

• As the difference between the sum of the first seven terms and the sum of the first six terms

• As the sum of the first seven terms

What is the strategy to find a sub seven?

• Multiply the sum of the first six terms by the seventh term

• Divide the sum of the first seven terms by the sum of the first six terms

• Add the sum of the first six terms to the seventh term

• Subtract the sum of the first six terms from the sum of the first seven terms

What is the sum of the first seven terms using the given formula?

• 50 over 8

• 48 over 6

• 49 over 7

• 51 over 9

What is the sum of the first six terms using the given formula?

• 37 over 7

• 36 over 6

• 35 over 5

• 38 over 8

What is the common denominator used to subtract the two fractions?

• 64

• 56

• 49

• 72

What is the result of subtracting the two fractions before simplification?

• 53 over 55

• 51 over 53

• 52 over 54

• 54 over 56

What is the simplified form of the seventh term?

• 27 over 28

• 26 over 27

• 25 over 26

• 24 over 25

What operation is performed to find the common denominator?

• Division

• Multiplication

• Subtraction

• Addition

What is the final value of a sub seven?

• 27 over 28

• 28 over 29

• 29 over 30

• 30 over 31