Question

find the common difference of an ap whose first term is 1 by 2 and the 8 term is 17 by 6 also write its for the truck

Answer 1

Solution:

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Given:

First term = $\frac{1}{2}$,

Eighth term = $\frac{17}{6}$

∴ a = $\frac{1}{2}$

∴ $a_8 = \frac{17}{6}$

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To find :

common difference ,.(d),

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As, we know that,

a = $\frac{1}{2}$

&

$a_n = a + (n-1)d$

So,

=> $a_8 = \frac{1}{2} + (8 - 1)d$

=> $\frac{17}{6} = \frac{1}{2} + 7d$

=> $\frac{17}{6} - \frac{1}{2} = 7d$

=> $\frac{17}{6} - \frac{3}{6} = 7d$

=> $\frac{14}{6} = 7d$

=> $7d = \frac{7}{3}$

=> $7d = 7( \frac{1}{3} )$

=> ∴ $d = \frac{1}{3}$,.

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                                  Hope it Helps!!