gwenprothero gwenprothero
  • 19-03-2020
  • Mathematics
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What is the 308th term of the sequence 11,12.5,14,15.5,17...

Respuesta :

Ben
Ben Ben
  • 19-03-2020

[tex]\huge\boxed{471.5}[/tex]

The formula for an arithmetic sequence is as follows:

[tex]a_n=a_1+(n-1)d[/tex]

In this formula, [tex]a_n[/tex] represents the [tex]n[/tex]th term of the sequence and [tex]d[/tex] represents the common difference between each term.

Plug in the known values.

[tex]a_{308}=11+(308-1)1.5[/tex]

Subtract.

[tex]a_{308}=11+307*1.5[/tex]

Multiply.

[tex]a_{308}=11+460.5[/tex]

Add.

[tex]a_{308}=\boxed{471.5}[/tex]

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