Answered

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Find a formula for the nth term of the arithmetic sequence first term -17 common difference 5

Sagot :

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Given :-

  • First term of an AP is -17 .
  • Common difference is 5 .

To Find :-

  • The formula for the nth term .

Solution :-

We know that the nth term of an AP is given by ,

[tex] T_n = a +(n-1)d [/tex]

where ,

  • a is the First term .
  • n is the number of the term .
  • d is the common difference .
  • T_n is the nth term .

On substituting the respective values we have ,

[tex]T_n = -17 + (n -1)5 \\[/tex]

Open the brackets ,

[tex]T_n = -17 + 5n - 5 [/tex]

Simplify ,

[tex]T_n = 5n -22[/tex]

Hence the nth term of the AP is given by 5n -22.

I hope this helps.

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