If m times the mth term of an AP is n times the nth term then find the (m+n)th?

CBSE Class 11-science Answered

If m times the m^thterm of an AP is n times the n^th term then find the (m+n)^th?

Asked by Topperlearning User | 04 Oct, 2016, 06:48: AM

Expert Answer

$m to the power of t h end exponent space t e r m space i s space a subscript m equals a plus left parenthesis m minus 1 right parenthesis d n to the power of t h end exponent space t e r m space i s space a subscript n equals a plus left parenthesis n minus 1 right parenthesis d A c c o r d i n g space t o space t h e space q u e s t i o n space m a subscript m equals n a subscript n m a plus m d left parenthesis m minus 1 right parenthesis equals n a plus n d left parenthesis n minus 1 right parenthesis a left parenthesis m minus n right parenthesis plus d left parenthesis m squared minus m minus n squared plus n right parenthesis equals 0 a left parenthesis m minus n right parenthesis plus d left curly bracket left parenthesis m minus n right parenthesis left parenthesis m plus n right parenthesis minus left parenthesis m minus n right parenthesis right curly bracket equals 0 a plus left parenthesis m plus n minus 1 right parenthesis d equals 0 a subscript m plus n end subscript equals left parenthesis m plus n right parenthesis to the power of t h end exponent space t e r m space i s space 0$

Answered by | 04 Oct, 2016, 08:48: AM