The-k-th-term-of-a-sequence-is-K-the-m-th-term-of-M-and-n-th-term-is-N-Show-that-if-it-is-a-geometic-m-n-log-K-n-k-log-M-k-m-log-N-0- Tinku Tara June 3, 2023 Others 0 Comments FacebookTweetPin Question Number 11262 by 786786AM last updated on 18/Mar/17 ThekthtermofasequenceisK,themthtermofMandnthtermisN.Showthatifitisageometic,(m−n)logK+(n−k)logM+(k−m)logN=0. Answered by mrW1 last updated on 20/Mar/17 K=a⋅qk−1M=a⋅qm−1N=a⋅qn−1(m−n)logK=(m−n)[loga+(k−1)logq](n−k)logM=(n−k)[loga+(m−1)logq](k−m)logK=(k−m)[loga+(n−1)logq]S=(m−n+n−k+k−m)loga+[(m−n)(k−1)+(n−k)(m−1)+(k−m)(n−1)]logq=[km−kn−m+n+mn−km−n+k+kn−mn−k+m]logq=0 Terms of Service Privacy Policy Contact: info@tinkutara.com FacebookTweetPin Post navigation Previous Previous post: The-n-th-term-of-a-progression-is-np-q-and-the-sum-of-n-terms-is-denoted-by-S-n-Given-that-the-6-th-term-is-4-times-2-nd-term-and-that-S-3-12-find-the-value-of-p-and-q-Express-S-n-in-tNext Next post: Question-142333 Leave a Reply Cancel replyYour email address will not be published.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.
![K=a∙q^(k−1) M=a∙q^(m−1) N=a∙q^(n−1) (m−n)log K=(m−n)[log a+(k−1)log q] (n−k)log M=(n−k)[log a+(m−1)log q] (k−m)log K=(k−m)[log a+(n−1)log q] S=(m−n+n−k+k−m)log a+[(m−n)(k−1)+(n−k)(m−1)+(k−m)(n−1)]log q =[km−kn−m+n+mn−km−n+k+kn−mn−k+m]log q =0](https://www.tinkutara.com/question/Q11331.png)