Understanding Sequences and Their Terms

The video tutorial explains how to determine the first four terms of different sequences using given formulas. It covers four examples, each with a unique formula, and demonstrates the process of substituting values into the formula to calculate the terms. The tutorial emphasizes the importance of following the order of operations and simplifying fractions where necessary.

What is the first term of a sequence if a_n = 49 - n^2 and n = 1?

• 47

• 50

• 49

• 48

For the sequence a_n = 49 - n^2, what is the value of the second term?

• 46

• 45

• 44

• 43

In the sequence a_n = 49 - n^2, what is the third term?

• 40

• 41

• 42

• 39

What is the fourth term of the sequence a_n = 49 - n^2?

• 33

• 31

• 34

• 32

For the sequence a_n = 13 + (n - 5) * 3, what is the first term?

• 1

• 0

• 2

• 3

What is the second term of the sequence a_n = 13 + (n - 5) * 3?

• 3

• 6

• 5

• 4

In the sequence a_n = 13 + (n - 5) * 3, what is the third term?

• 5

• 6

• 8

• 7

What is the fourth term of the sequence a_n = 13 + (n - 5) * 3?

• 11

• 10

• 8

• 9

For the sequence a_n = 3n / (n + 10), what is the first term?

• 3/11

• 1/2

• 9/13

• 6/7

What is the first term of the sequence a_n = 2 * 3^n?

• 12

• 9

• 3

• 6