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7th term of an arithmetic sequence is 17 and 17th term is 7 .what is its 24th term

Respuesta :

Answer:

0

Step-by-step explanation:

[tex]n_{7}[/tex]=17 and [tex]n_{17}[/tex]=7

difference between the terms are 10,

so [tex]n_{7}[/tex]+10d=[tex]n_{17}[/tex]

    17+10d=7

    10d=7-17

     10d=-10

     d=-1

so for the next term in the sequence, add -1 to the previous one.

17th term is 7, 18th term will be 6, 19th will be 5.......

24th term will be 0

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