Given-the-equality-1-3-5-2p-1-p-1-2-p-N-Show-this-equality-is-true-when-we-replace-p-by-p-1- Tinku Tara June 4, 2023 Others 0 Comments FacebookTweetPin Question Number 116685 by mathocean1 last updated on 05/Oct/20 Giventheequality:1+3+5+…+(2p+1)=(p+1)2p∈N∗Showthisequalityistruewhenwereplacepbyp+1 Answered by TANMAY PANACEA last updated on 05/Oct/20 1+(n−1)2=2p+12n−1=2p+1→n=p+1sumof(p+1)termsp+12[2×1+(p+1−1)2](p+1)2×[2p+2]=(p+1)2nowsumof(p+1+1)termsfromLHS(p+2)2[2×1+(p+2−1)×2]=(p+2)2×[2+2p+2]→(p+2)2RHS(p+1+1)2→(p+2)2henceproved Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: Two-hot-cubes-are-at-same-temperature-and-both-are-cooled-by-forced-convetion-the-cube-are-made-from-the-same-material-but-one-has-side-of-L-metre-and-other-one-2L-metre-which-cube-is-at-quicker-Next Next post: Help-please-to-solve-this-If-f-x-1-x-2-for-x-2-2-and-f-x-5-otherwise-Then-what-is-the-value-of-2-2-f-2x-2-dx- Leave a Reply Cancel replyYour email address will not be published. Required fields are marked *Comment * Name * Save my name, email, and website in this browser for the next time I comment.