Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing

This Question is Closed

AravindGBest ResponseYou've already chosen the best response.0
i hav a question can u help?
 2 years ago

DHASHNIBest ResponseYou've already chosen the best response.4
ya sure so on writing ur question!!1
 2 years ago

AravindGBest ResponseYou've already chosen the best response.0
n3^(2n+2)8n9 is divisible by 8.Prove
 2 years ago

DHASHNIBest ResponseYou've already chosen the best response.4
is ur question correct!!!!1
 2 years ago

AravindGBest ResponseYou've already chosen the best response.0
3^(2n+2)8n9 is divisible by 8.Prove
 2 years ago

DHASHNIBest ResponseYou've already chosen the best response.4
let p(n)=n3^(2n+2)8n9 =8m (let m be any value) checking for p(1), lhs: p(1)= 3^(2+2) 89=8117=64=8x8=8m =rhs therefore p(1)is true assume p(k)is true . =>3^(2k+2)8k9=8m \[=>3^{(2k)} = \frac{8m+8k+9}{3^{2}}\](1) to prove :p(k+1)is true substitute k+1 in n in the given eq \[=>3^{2k+4}8(k+1)9= 3^{2k}.3^{4}8k17\]substitute (1) instead of 3^(2k) =>72m+64k+64= =>8(9m+8k+8) therefore p(k+1) is true by principal of mathematical induction , p(n) is true for all n belonging to natural numbers
 2 years ago
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.