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Consider an A.P. $a_{1}, a_{2}, a_{3}, \dots$ such that $a_{3} + a_{5} + a_{8} = 11$ and $a_{4} + a_{2} = - 2$ then the value of $a_{1} + a_{6} + a_{7}$ is

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Correct option is C

Given that a7+a5+a8=11⇒a+2d+a+4d+a+7d=11or 3a+13d=11 (1)Given,a4+a2=−2⇒a+3d+a+d=−2or a=−1−2d (2)Putting value of a from (2) in (1), we get3(−1−2d)+13d=11⇒7d=14⇒d=2 and a=−5⇒a1+a6+a7=7

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Consider an A.P.a1,a2,a3,… such that a3+a5+a8=11 and a4+a2=−2 then the value of a1+a6+a7 is

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Ready to Test Your Skills?

free study material

Consider an A.P. $a_{1}, a_{2}, a_{3}, \dots$ such that $a_{3} + a_{5} + a_{8} = 11$ and $a_{4} + a_{2} = - 2$ then the value of $a_{1} + a_{6} + a_{7}$ is