Question

If An= 5 - 6n. find the common

difference​

Answer 1

Question:-

$\rm \: \to \: if \: A_n \: = \: 5 \: - 6n \: \: find \: the \: common \: difference$

Solution:-

$\rm \: \: A_n = 5 - 6n$

$\implies \rm \: n \: = 1$

$\to \: \rm \: A_1 = 5 - 6 \times 1$

$\to \: \rm \: A_1 = - 1$

$\implies \rm \: n \: = 2$

$\to \: \rm \: A_2 = 5 - 6 \times 2$

$\to \: \rm \: A_2 = - 7$

$\implies \rm \: n \: = 3$

$\to \: \rm \: A_3 = 5 - 6 \times 3$

$\to \: \rm \: A_3 = 5 - 18$

$\to \: \rm \: A_3= - 13$

Sequence are

=> - 1 , -7 , - 13 , .............

Common difference ( d ) =

{ - 7 - ( - 1 ) } = ( - 6 )

Common difference ( d ) = -6