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24-03-2017
Mathematics

Answered

find the next term in the sequence

simplify complete

3 1/4, 3 3/8, 3 1/2, 3 5/8, [?] [?]/[?]

Verified Answer :

24-03-2017

This is an arithmetic sequence because each term is 1/8 more than the previous term. This is called the common difference and it is what defines an arithmetic sequence.

a(n)=a+d(n-1), where a is 1st term, d is common difference, and n it term #

In this case:

a(n)=3.25+0.125(n-1) or more neatly...

a(n)=3.125+0.125n

a(5)=3.75

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