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In this arithmetic sequence,the difference between each pair of consecutive terms is 1/2. Find the next term in the sequence. Express your answer in lowest terms. 1/5,7/10,1 1/5

Respuesta :

You have a arithmetic sequence, it means that the difference between each term is the same, in this case the difference is 1/2.

[tex]\frac{1}{5},\frac{7}{10},1,\frac{1}{5},\ldots[/tex]

Then to find the next term you have to add 1/2 to the last term you have:

[tex]\frac{1}{5}+\frac{1}{2}[/tex]

To add fractions with different denominator you follow the next formula:

[tex]\frac{a}{b}+\frac{c}{d}=\frac{a\cdot d+b\cdot c}{b\cdot d}[/tex]

Then you get:

[tex]undefined[/tex]

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