Answered

Discover the answers you need at Westonci.ca, where experts provide clear and concise information on various topics. Get immediate and reliable solutions to your questions from a knowledgeable community of professionals on our platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

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

Sagot :

VirαtKσhli

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 time. Please revisit us for more reliable answers to any questions you may have. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.