14th sum.plz

Asked by lovemaan5500 | 28th Jan, 2019, 06:29: AM

Expert Answer:

According to the question,
Sp = m and Sq = m
begin mathsize 16px style straight p over 2 open square brackets 2 straight a plus open parentheses straight p minus 1 close parentheses straight d close square brackets equals fraction numerator begin display style straight q end style over denominator begin display style 2 end style end fraction open square brackets 2 straight a plus open parentheses straight q minus 1 close parentheses straight d close square brackets
2 pa plus straight p open parentheses straight p minus 1 close parentheses straight d equals 2 qa plus straight q open parentheses straight q minus 1 close parentheses straight d
2 pa minus 2 qa plus straight p open parentheses straight p minus 1 close parentheses straight d minus straight q open parentheses straight q minus 1 close parentheses straight d equals 0
2 straight a open parentheses straight p minus straight q close parentheses plus open parentheses straight p squared minus straight p minus straight q squared plus straight q close parentheses straight d equals 0
2 straight a open parentheses straight p minus straight q close parentheses plus open parentheses straight p squared minus straight q squared minus straight p plus straight q close parentheses straight d equals 0
2 straight a open parentheses straight p minus straight q close parentheses plus open square brackets open parentheses straight p plus straight q close parentheses open parentheses straight p minus straight q close parentheses minus left parenthesis straight p minus straight q right parenthesis close square brackets straight d equals 0
2 straight a open parentheses straight p minus straight q close parentheses plus open square brackets open parentheses straight p plus straight q minus 1 close parentheses open parentheses straight p minus straight q close parentheses close square brackets straight d equals 0
2 straight a plus open parentheses straight p plus straight q minus 1 close parentheses straight d equals 0
straight S subscript straight p plus straight q end subscript space equals space 0 end style

Answered by Sneha shidid | 28th Jan, 2019, 10:02: AM