For AP a1-a2-a3- if a4a7-23- find a6a8

a _ 4 a _ 7 = 2 3 a _ 4 =a+3d; a _ 7 =a+6d a+3d a+6d = 2 3 3a+9d=2a+12d a=3d a _ 6 a _ 8 = a+5d a+7d = 3d+5d 3d+7d ...

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nth Term of A.P

For AP a1...

Question

For $A P$ $a_{1}, a_{2}, a_{3},$ ..., if $\frac{a_{4}}{a_{7}} = \frac{2}{3}$ , find $\frac{a_{6}}{a_{8}}$

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Solution

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a_{1}, a_{2}, a_{3}, \dots \dots

a_{3} + a_{5} + a_{8} = 11

a_{4} + a_{2} = - 2

a_{1} + a_{6} + a_{7}

(1 + x)^{10} = a_{0} + a_{1} x + a_{2} x^{2} + . . . . . + a_{10} x^{10}

(a_{0} - a_{2} + a_{4} - a_{6} + a_{8} - a_{10})^{2} + (a_{1} - a_{3} + a_{5} - a_{7} + a_{9})^{2}

I f (1 + x)^{10} = a_{0} + a_{1} x + . . . . a_{10} x^{10}, t h e n (a_{0} - a_{2} + a_{4} - a_{6} + a_{8} - a_{10})^{2} + (a_{1} - a_{3} + a_{5} - a_{7} + a_{9})^{2}

a_{1}, a_{2}, a_{3}, \dots

a_{3} + a_{5} + a_{8} = 11

a_{4} + a_{2} = - 2

a_{1} + a_{6} + a_{7}

{(1 + x)}^{10} = a_{0} + a_{1} x + a_{2} x^{2} + . . . . . . a_{10} x^{10}

{(a_{0} - a_{2} + a_{4} - a_{6} + a_{8} - a_{10})}^{2} + {(a_{1} - a_{3} + a_{5} - a_{7} + a_{9})}^{2}

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