Answers

  • Brainly User
2016-06-20T02:13:49+08:00
The given sequence is quadratic.  A quadratic sequence has second difference, and the Nth term (rule) is similar to quadratic equation standard form, ax² + bx + c.

Nth term of quadratic sequence:

Tn = an² + bn + c

ANSWER:  The Nth term of 2, 5, 10, 17, 26, 37 is:
    
     Tn = an² + c

PLEASE CLICK IMAGE BELOW TO VIEW STEP-BY-STEP SOLUTION (WITH EXPLANATION) OF HOW TO FIND THE NTH TERM OF QUADRATIC SEQUENCE.


1 5 1
Erratum (see image): T6 = 37 , and not T7 = 37, although it is understood that the 6th term is 37 (last term in the given sequence).