Answered

Connect with experts and get insightful answers to your questions on IDNLearn.com. Discover in-depth and trustworthy answers to all your questions from our experienced community members.

write an explicit formula for An, the nth term of the sequence 40,33,26,…

Sagot :

Sqdancefanidn

Answer:

  an = 40 -7(n -1)

Step-by-step explanation:

The given sequence has terms with a common difference, so it is an arithmetic sequence. The formula for the general term of an arithmetic sequence applies:

  an = a1 +d(n -1)

__

The first term of the given sequence is ...

  a1 = 40

The common difference for this sequence is ...

  d = 33 -40 = -7

Using these values in the equation for the n-th term, we have ...

  an = 40 -7(n -1) . . . . . explicit formula for the n-th term

Your participation is crucial to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. Discover the answers you need at IDNLearn.com. Thank you for visiting, and we hope to see you again for more solutions.