Question

if the second term of an a.p is 4 & seventh term is -11 find its d​

Answer 1

${\bold{ \mathcal{\underline{Arithmetic\:Progressions}}}} \:$

Given :

$= > Second \: \: term \: A_2 = 4$

$=> Seventh \: \: term \: A_7 = -11$

From this data ,we get the following equations :

$a \: + \: d \: = 4 \\ \\ a + 6d \: = - 11$

Subtract the two equations ,

( a - a ) + ( d - 6d ) = ( 4 + 11 )

→ -5d = 15

${ \boxed{ \bold {d \: = - 3}}}$

•°• Common Difference of the Arithmetic Progression is -3