When given two terms find the nth term of an arithmetic sequence

The video tutorial explains how to find terms in an arithmetic sequence, both when the rule is known and when it is not. It introduces the concept of the NTH term and provides examples of calculating specific terms using a given formula. The tutorial emphasizes understanding the difference between terms and how to apply the formula to find any term in the sequence.

What is the formula used to find the Nth term in a sequence when the rule is known?

• a of N equals 5N plus one

• a of N equals N squared

• a of N equals N plus 5

• a of N equals 2N minus one

If the first term of an arithmetic sequence is 5 and the common difference is 2, what is the formula to find the Nth term?

• First term plus (N minus one) times the difference

• First term times N plus the difference

• First term minus N times the difference

• First term divided by N plus the difference

In the example given, what is the common difference of the sequence?

• 3

• 2

• 5

• 10

How can you efficiently find the 80th term of a sequence with a first term of 5 and a common difference of 2?

• By multiplying the first term by 80

• By using the formula: first term plus 79 times the difference

• By subtracting 2 from the first term eighty times

• By manually adding 2 eighty times

What is the 80th term of the sequence starting at 5 with a common difference of 2?

• 160

• 170

• 163

• 165