Finding the Nth Term in Arithmetic Sequences

This video tutorial explains how to find the nth term of an arithmetic sequence using a formula. It provides two examples: calculating the 12th term of a given sequence and finding the 14th term when the 3rd and 7th terms are known. The tutorial emphasizes understanding the common difference and using the formula a_n = a_1 + (n-1)d to find any term in the sequence.

What is the first term (a1) of the arithmetic sequence given in the first example?

• 5

• 17

• 11

• 23

What is the common difference (d) in the arithmetic sequence 5, 11, 17, 23, 29?

• 5

• 7

• 6

• 8

Which formula is used to find the nth term of an arithmetic sequence?

• a_n = a_1 + (n - 1) * d

• a_n = a_1 - (n - 1) * d

• a_n = a_1 * n + d

• a_n = a_1 + n * d

What is the value of the 12th term in the sequence 5, 11, 17, 23, 29?

• 77

• 83

• 65

• 71

What is the 6th term in the sequence 5, 11, 17, 23, 29?

• 29

• 35

• 41

• 47

If the 3rd term of an arithmetic sequence is 17 and the 7th term is 45, what is the common difference?

• 7

• 6

• 8

• 5

Given the 3rd term is 17 and the common difference is 7, what is the first term (a1)?

• 2

• 1

• 3

• 4

What is the value of the 14th term in the sequence where the 3rd term is 17 and the common difference is 7?

• 100

• 97

• 94

• 91

How many common differences are added to go from the 3rd term to the 7th term?

• 3

• 6

• 4

• 5

What two pieces of information are needed to find any term in an arithmetic sequence?

• Common difference and number of terms

• First term and number of terms

• First term and last term

• First term and common difference