Answered

Get expert advice and community support for all your questions on IDNLearn.com. Our platform is designed to provide quick and accurate answers to any questions you may have.

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

Sagot :

VirαtKσhliidn

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.

We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. Thank you for choosing IDNLearn.com for your queries. We’re here to provide accurate answers, so visit us again soon.