Math, asked by pranjalidonge4068, 1 year ago

If m term of an ap is 1/n and n term is 1/m .fimd the sum of first mn term

Answers

Answered by Anvi123
1
Hey,,,,,,,

Tm = 1/n    &      Tn = 1/m

a +(m-1)d = 1/n

a + (n-1)d = 1/m

-------------------------

(m-n)d = m-n/mn

d = 1/mn  ,     & a = 1/mn

now , Tmn = a +(mn-1)d = 1/mn +(mn-1) x 1/mn

                                              =1 +mn-1 / mn = mn/mn = 1.....hence prooved!!

hope ths hlps u ..!!

Answered by Anonymous
2

Answer:

Hey,,,,,,,

Tm = 1/n    &      Tn = 1/m

a +(m-1)d = 1/n

a + (n-1)d = 1/m

-------------------------

(m-n)d = m-n/mn

d = 1/mn  ,     & a = 1/mn

now , Tmn = a +(mn-1)d = 1/mn +(mn-1) x 1/mn

                                             =1 +mn-1 / mn = mn/mn = 1.....hence prooved!!

hope ths hlps u ..!!

Step-by-step explanation:

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