a1 a2 a3 ....are in AP prove that 1/a1 a2 +1/ a2a3 .....=n-1 /a1 an

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If a_1, a_2, a_3, ……, a_n be an A.P. of non-zero terms, prove that : 1/a_1 a_2+1/a_2 a_3+………...

If `a_1,a_2,a_3, ,a_n` are an A.P. of non-zero terms, prove that `1/(a_1a_2)+1/(a_2a_3)++1/(a_(n...

If a1,a2,a3,⋯,an are in A.P., prove that 1/(a1a2)+1/(a2a3 )+⋯+1/(a(n-1)an)=(n-1)/(a1an)

If `a_1,a_2,a_3,...,a_(n+1)` are in A.P. , then `1/(a_1a_2)+1/(a_2a_3)....+1/(a_na_(n+1))` is

a1 a2 a3 are in AP then 1/a1 an+ 1/a2 an-1 +......=2/a1+an(1/a1 +1/a2 .......

if a1,a2, a3 ,.... an are in A.P., where ai ( greater then zero ) for all i, show that ... ||#series

𝒂𝟏,𝒂𝟐,𝒂𝟑 in 𝑨𝑷:𝟏/√𝒂𝟏+√𝒂𝟐+ 𝟏/√(𝒂𝟐+√𝒂𝟑 +.+ 𝟏/√𝒂(𝒏−𝟏+√𝒂𝒏 = 𝒏−𝟏/√𝒂𝟏+√𝒂𝒏 I class 11 @deepakmittaldecoder

If a1,a2,a3,⋯,an are in A.P.,show that 1/(√a1+√a2)+1/(√a2+√a3)+⋯+1/(√a(n-1)+√an)=(n-1)/(√a1+√an)