Question

lf aa=3n-9 then a6 is​

Answer 1

Given:

$a_{n} =3n-9$

we have to find the value of $a_{6} .$

Solution:

∵ $a_{n} =3n-9$

Put n = 1 , 2 , 3, 4, 5 , 6, ....

$a_{1} =3(1)-9=-6$

$a_{2} =3(2)-9=-3$

$a_{3} =3(3)-9=0$

$a_{4} =3(4)-9=3$

$a_{5} =3(5)-9=6$

$a_{6} =3(6)-9=9$

..

Thus,$a_{6}=9$

Answer 2

Given :   aₙ = 3n-9

To find : a₆

Solution:

aₙ = 3n-9

aₙ  is nth term of

to find  a₆

substitute n = 6

=>  a₆ = 3(6) - 9

=> a₆ = 18 - 9

=> a₆ = 9

aₙ = 3n-9

=> aₙ = 3n-3 - 6

=> aₙ = 3(n-1) - 6

=> aₙ = - 6 + (n-1)3

a = - 6

d = 3

AP  is

- 6 , - 3 ,   0 , 3  ,  6  ,  9  ....................

a₆ = 9

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