Given 5, 11, 17, 23,..., which term number is 485?

Chelsea Pruitt

Chelsea Pruitt

Answered question

2022-10-11

Given 5, 11, 17, 23,..., which term number is 485?

Answer & Explanation

Layton Leach

Layton Leach

Beginner2022-10-12Added 15 answers

For the general Arithmetic sequence with terms
a,a+d,a+2d,a+3d , ....................... , a+(n-1)d
where a is the 1st term and d , the common difference
the nth term is : a + (n-1)d , which enables any term in the sequence to be found.
for this sequence a = 5 , d = 11-5 = 17-11 = 6 and n is required to be found.
using : a + (n-1)d = 485
then 5 + 6(n-1) = 485 5 + 6n - 6 = 485
hence 6n = 486 n = 81

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?