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

Chelsea Pruitt 2022-10-11 Answered
Given 5, 11, 17, 23,..., which term number is 485?
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Answers (1)

Layton Leach
Answered 2022-10-12 Author has 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
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