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Identify the 25th term of the arithmetic sequence 2,1 (3 / 5), 1 ( 1 / 5) ... (2 points)

Ramon Kelly

in Mathematics

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Mindee Nelson on October 7, 2018

Any arithmetic progression can be expressed as:a(n)=a+d(n-1), a=initial value d=common difference n=term of the series.The common difference is the constant difference by subtracting the previous term from any term. In this case:d=2-1 3/5=1 3/5-1 1/5=-2/5=-0.4 and we can easily see that the first term is 2 soa(n)=2-0.4(n-1) which can be simplified to...(n)=2-0.4 n+0.4(n)=2.4-0.4 n, so the 25th term is:(25)=2.4-0.4(25)(25)= -7.6 or, if you prefer...to(25)= -7 3/5


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