This study notes covers Worked Example 2: Using the nth Term within nth Term for GCSE Mathematics. Revise nth Term in Algebra for GCSE Mathematics with 11 exam-style questions and 4 flashcards. This topic appears regularly enough that it should still be part of a steady revision cycle. It is section 5 of 8 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.
Worked Example 2: Using the nth Term
The nth term of a sequence is 3n - 2
a) Find the 10th term
b) Is 100 a term in this sequence?
Part a Find the 10th term
Substitute n = 10:
3(10) − 2 = 30 − 2 = 28
Part b Is 100 in the sequence?
Set 3n − 2 = 100 and solve:
3n = 102
n = 34
Since n is a whole number, yes, 100 is the 34th term
Practice questions for nth Term
The nth term of a sequence is 3n + 2. What is the 5th term?
A student claims that 50 is a term in the sequence with nth term 3n + 1. Show whether this claim is correct.