VicenteDuran
Answered

Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Join our Q&A platform and connect with professionals ready to provide precise answers to your questions in various areas. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Arithmetic and Geometric Sequences

1. Consider the sequence: 3, 7, 11, 15...

Find an explicit formula for the n-th term of this sequence.
​

Sagot :

Luv2Teach

Answer:

Step-by-step explanation:

This is arithmetic since adding 4 to each term gets us to the next term in the sequence. That means that the common difference, d, is 4. The general arithmetic explicit formula is

[tex]a_n=a_1+d(n-1)[/tex] and using the info given when a1 = 3 and d = 4:

[tex]a_n=3+4(n-1)[/tex] or, if you want to make it easier to deal with:

[tex]a_n=4n-1[/tex] (I just distributed through the parenthesis and then combined like terms. As you can see, arithmetic sequences are linear).

Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. We appreciate your time. Please come back anytime for the latest information and answers to your questions. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.