Find the nth term rule for 1/2,1,3/2,2,...

Felix Cohen

Felix Cohen

Answered question

2022-09-08

Find the nth term rule for 1 2 , 1 , 3 2 , 2 , ...

Answer & Explanation

Kristopher Beard

Kristopher Beard

Beginner2022-09-09Added 18 answers

1 2 , 1 , 3 2 , 2 , ...
firstly see what the terms increase by
difference d = 1 - 1 2 = 1 2
so nth term is of the form
n t h . = 1 2 n + c
use the first term and n=1 to evaluate c
1 2 = 1 2 × 1 + c
c = 0
n t h . = 1 2 n
a quick mental check on the next few terms confirms the result.

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