Understanding Sequence Calculations

The video tutorial explains how to calculate specific terms in a sequence defined by the formula a_n = n^2 - 10/n + 1. It demonstrates the calculation of the fourth and ninth terms, a_sub4 and a_sub9, by substituting the respective values into the formula. The tutorial then shows how to sum these two terms, providing a clear step-by-step process for each calculation.

What is the formula given for the sequence in the video?

• n^2 - 10 / n + 1

• n^2 - 10n + 1

• n^2 + 10n - 1

• n^2 + 10 / n - 1

How do you calculate the fourth term (a_sub4) in the sequence?

• Replace n with 5 in the formula and simplify.

• Replace n with 7 in the formula and simplify.

• Replace n with 6 in the formula and simplify.

• Replace n with 4 in the formula and simplify.

What is the value of the fourth term (a_sub4) in the sequence?

• 5/7

• 6/5

• 5/6

• 7/5

How do you calculate the ninth term (a_sub9) in the sequence?

• Replace n with 11 in the formula and simplify.

• Replace n with 10 in the formula and simplify.

• Replace n with 9 in the formula and simplify.

• Replace n with 8 in the formula and simplify.

What is the value of the ninth term (a_sub9) in the sequence?

• 71/10

• 70/10

• 72/10

• 73/10

What is the sum of the fourth and ninth terms in the sequence?

• 81/10

• 82/10

• 83/10

• 84/10

What is the equivalent fraction of 6/5 when expressed with a denominator of 10?

• 13/10

• 10/10

• 11/10

• 12/10

What is the final result after summing a_sub4 and a_sub9?

• 86/10

• 83/10

• 84/10

• 85/10