Answered

Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Discover solutions to your questions from experienced professionals across multiple fields on our comprehensive Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

what is the general term for sequence -6;3;15;30?​

Sagot :

sammy624

Answer:

[tex] \frac{3}{2} n {}^{2} + \frac{9}{2} n - 12[/tex]

Step-by-step explanation:

This sequence is a quadratic sequence meaning that we should find the difference and the constant second difference.

The difference between the 4 terms is in the sequence:

9;12;15

The constant second difference is 3.

Use your method of finding the general term:

2a=3 3a+b=9 a+b+c=-6

a=3/2 3(3/2)+b=9 3/2+9/2+c=-6

b=9/2 c=-12

Standard form for quadratic sequence:

[tex] {an}^{2} + bn + c[/tex]

Therefore your general term is the one stated above in the answer.

Hope that helps!

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. 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.