Use the substitution method, find the closed-form formula of S5(n) = 15 + 25 + · · · + n5 . [You need to describe the process that you guess the formula of S5(n). You also need to include a rigorous induction proof. ]

Use Gauss's trick to determine H(n)=1+5+9+13+...(4n-7)+(4n-3)+(4n+1) I got n(4n+2)/2 is this correct?

please send handwritten solution asap

a)(6n?– 3n + 9) - (n² + 3n – 5) b) (15a – 3w + 7) – 2(2a – 9) + (3w – 15a)

+ 6n +3 is O (n). O True False

Explain the determine blue

What is a simpler form of (x + 9)(x – 9)?

Use the union rule to answer the following question. Suppose n(B)=7, n(ANB) = 4, and n(AUB) = 25. What is n(A)? Determine which equation can be used to find n(A). OA. n(A)=25-7+4 B. n(A) 25-7 C. n(A) 25-7-4 OD. n(A)=25+7+4

(A) 3k + 1 (B) 3k-3 (C) 5k – 2 (D) 5k + 1 mie. les wh the 16. In the pattern ABCDABCD..., what is the 49th term? (A) A (B) B (C) C (D) D

Answer part D for me