At Westonci.ca, we connect you with experts who provide detailed answers to your most pressing questions. Start exploring now! Experience the ease of finding accurate answers to your questions from a knowledgeable community of professionals. 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 :

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).

We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.