If a n is a se sequence in HP with a 2 is equal t

Question

Ifan is a se sequence in HP with a2 is equal to 1/2 a5 is equal to 1/11 then find the value of1/a1+1/a2+1/a3.........1/a20

Lord 0p · Accepted Answer

, Given:a1​,a2​,a3​,....,an​are in H.P.∴a2​=a1​+a3​2a1​a3​​.....( 1 )⇒a1​a2​+a2​a3​=2a1​a3​⇒a1​a2​+a2​a3​=(3−1)a1​a3​.....( 2 )Now,∴a3​=a2​+a4​2a2​a4​​⇒a3​(a2​+a4​)=2a4​.a1​+a3​2a1​a3​​[From eq ( 1 )]⇒(a1​+a3​)(a2​+a4​)=4a1​a4​⇒a1​a2​+a2​a3​+a3​a4​=(4−1)a1​a4​.....( 3 ) Comparing eq (2) and (3) for upto n terms:⇒a1​a2​+a2​a3​+a3​a4​+....+an−1​an​=(n−1)a1​an​ ,

Algebra> If a n is a se sequence in HP with a 2 is...

Ifan is a se sequence in HP with a2 is equal to 1/2 a5 is equal to 1/11 then find the value of1/a1+1/a2+1/a3.........1/a20

Samidha , 3 Years ago

Lord 0p

Provide a better Answer & Earn Cool Goodies

LIVE ONLINE CLASSES

Ask a Doubt

What is a binomial expression?

algebra

Can we divide two vectors? If this is possible then how?

algebra

How do you write “the product of 18 and q” as an algebraic expression?

algebra

दहावीच्या आय सी एस इ विद्यार्थ्यांनी पुढे काय करायला पाहिजे

algebra

Find the least number of square tiles by which the floor of a room of dimensions 16.58 m and 8.32 m can be covered completely. why HCF and not LCM as “least” keywor dis given?

algebra

Algebra> If a n is a se sequence in HP with a 2 is...

Ifan is a se sequence in HP with a2 is equal to 1/2 a5 is equal to 1/11 then find the value of1/a1+1/a2+1/a3.........1/a20

Samidha , 3 Years ago

Lord 0p

Provide a better Answer & Earn Cool Goodies

LIVE ONLINE CLASSES

Ask a Doubt

Other Related Questions on algebra

What is a binomial expression?

algebra

Can we divide two vectors? If this is possible then how?

algebra

How do you write “the product of 18 and q” as an algebraic expression?

algebra

दहावीच्या आय सी एस इ विद्यार्थ्यांनी पुढे काय करायला पाहिजे

algebra

Find the least number of square tiles by which the floor of a room of dimensions 16.58 m and 8.32 m can be covered completely. why HCF and not LCM as “least” keywor dis given?

algebra