If for an AP A1,A2,A3....an. A1+A3+A5=-12 and A1*A2*A3=8. Find the value of A2+A4+A6.
Adhiraj Kapoor , 9 Years ago
Grade 11
Algebra> If for an AP A1,A2,A3....an. A1+A3+A5=-12...
2 AnswersAjay
Let d be the common difference .
A1+ (A1+2d) + (A1+4d) = -12 and
A1*(A1+2d) *(A1+4d) = 8 and
solve equations for A1 and d
Now A2+A4+A6 = (A1+d) + (A1+3d) + (A1+5d).
Substitute values for A1 and d found in previous step.
Ajay
Shorter method
Let d be the common difference .
(A3-2d)+ A3 + (A3+2d) = -12 and
A3 = -4
(A3-2d)* (A3-d) *(A3) = 8
Solve for d
Now A2+A4+A6 = (A3-d) + (A3+d) + (A3+2d).
Substitute values for A3 and d found in previous step.
LIVE ONLINE CLASSES
Prepraring for the competition made easy just by live online class.
Full Live Access
Study Material
Live Doubts Solving
Daily Class Assignments
Other Related Questions on algebra
Can we divide two vectors? If this is possible then how?
Can we divide two vectors? If this is possible then how?
algebra
1 Answer Available
Last Activity: 1 Year ago
How do you write “the product of 18 and q” as an algebraic expression?
How do you write “the product of 18 and q” as an algebraic expression?
algebra
1 Answer Available
Last Activity: 1 Year ago
दहावीच्या आय सी एस इ विद्यार्थ्यांनी पुढे काय करायला पाहिजे
दहावीच्या आय सी एस इ विद्यार्थ्यांनी पुढे काय करायला पाहिजे
algebra
1 Answer Available
Last Activity: 3 Years ago