Question

if a1,a2,a3,...are in a.psuch that a4÷a7=3÷2then find the 13 term of the ap​

Answer 1

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if a1,a2,a3,...are in a.p such that a4÷a7=3÷2then find the 13 term of the ap.....

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According to Question....

$\frac{a4}{a7} = \frac{3}{2} \\ \\ \frac{a + 3d}{a + 6d} = \frac{3}{2} \\ \\ 2(a + 3d) = 3(a + 6d) \\ \\ 2a + 6d = 3a + 18d \\ \\ 2a -3a = 18d - 6d \\ \\ - a = > 12d \\ \\ a = > - 12d$

Put Value in following situation.

a13 = a + 12d

$a13 = - 12d + 12d \\ \\ \boxed{ a13 = > 0}$

The 13th value of AP is 0

Hope it's helps you .

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✨Important Formula ....

$\color{red} \huge\boxed{an = > a + (n - 1) \times d}$

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$\color{blue} \boxed{sn = > \frac{n}{2}(2a + (n - 1) \times d }$

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