Answered

IDNLearn.com provides a collaborative environment for finding and sharing answers. Ask your questions and get detailed, reliable answers from our community of experienced experts.

Please Help!
What is the equation for the nth term of the arithmetic sequence where a1 = 32 and d = –7?

an=32+7n
an=32-7n
an=28-7(n-1)
an=32+7(n-1)

Sagot :

Akposevictoridn

Given that the first term and the common difference of an arithmetic sequence are -7 and 32 respectively, the equation for the nth term is: [tex]\mathbf{a_n = 32 -7(n - 1)}[/tex]

Recall:

  • nth term of arithmetic sequence is expressed as: [tex]a_n = a + (n - 1)d[/tex]
  • Where, a is the first term, d is the common difference.

  • Given the following for an arithmetic sequence:

d = -7

[tex]a_1 = 32[/tex]

Substitute the values into [tex]a_n = a + (n - 1)d[/tex]

  • Thus:

[tex]a_n = 32 + (n - 1)-7\\\\\mathbf{a_n = 32 -7(n - 1)}[/tex]

Therefore, given that the first term and the common difference of an arithmetic sequence are -7 and 32 respectively, the equation for the nth term is: [tex]\mathbf{a_n = 32 -7(n - 1)}[/tex]

Learn more here:

https://brainly.com/question/4450361

We appreciate your contributions to this forum. Don't forget to check back for the latest answers. Keep asking, answering, and sharing useful information. Discover the answers you need at IDNLearn.com. Thanks for visiting, and come back soon for more valuable insights.