if mth term of an ap is 1/n and nth term is 1/m then show that its mn th term equals to 1
Answers
Answered by
8
Answer:
tex] \huge \purple {\tt {\underbrace {\overbrace {\ulcorner {\mid {\overline {\underline {Question:}}}}}}}} [/tex]
♥️♥️
Solution :
am=a+(m−1)d=1n−(1)am=a+(m-1)d=1n-(1)
an=a+(n−1)d=1n−(2)an=a+(n-1)d=1n-(2)
subtracting equation 1 from from equation 2
(n−1)d−(m−1)d=1m−1n(n-1)d-(m-1)d=1m-1n
d(n−1−m+1)=n−mnmd(n-1-m+1)=n-mnm
d=1nmd=1nm
a=1n−m−1nma=1n-m-1nm
a=m−m+1nma=m-m+1nm
a=1nma=1nm
anm=a+(nm−1)danm=a+(nm-1)d
=1nm+(nm−1)1nm=1nm+(nm-1)1nm
anm=1
♥️♥️
Similar questions
Chemistry,
4 months ago
Political Science,
4 months ago
Physics,
8 months ago
Science,
8 months ago
Social Sciences,
11 months ago
Science,
11 months ago