1) if a , b , c are in AP , show that 1/ab , 1/ca , 1/bc - Maths - Arithmetic Progressions

Question

1) if a , b , c are in AP , show that 1/ab , 1/ca , 1/bc are in
AP
2) if m times the mth term of an AP is equal to n times it's n
term , find the (m+n)th term
pls answer fast

Nazreen Nassar · Answer

2 Let a and d be the first term and common
difference of A P
nth term of the A P ,
an = a + (n
– 1)d
Given, mam =
nan
<img alt="" src=
"https://s3mn%20mnimgs%20com/img/shared/userimages/mn_images/image/a1(476)%20png"
width="273" height="232">
(m + n)th term of A P
= am + n
= a + (m + n – 1)d
= – (m + n – 1)d + (m + n
– 1)d (using (1))
= 0
∴ (m + n)th
term of A P is 0

1) if a , b , c are in AP , show that 1/ab , 1/ca , 1/bc are in AP . 2) if m times the mth term of an AP is equal to n times it's n term , find the (m+n)th term. pls answer fast...

1) if a , b , c are in AP , show that 1/ab , 1/ca , 1/bc are in AP .

2) if m times the mth term of an AP is equal to n times it's n term , find the (m+n)th term.

pls answer fast...