The nth term of a sequence is 2n - 6

a) Work out the first three terms of the sequence.
b) Work out the tenth term of the sequence.

Step-by-step explanation:

2n - 6

a) n = 1 ;   2n - 6 = 2*1 - 6  = 2 - 6 = -4

  n = 2 ;   2n - 6 = 2*2 - 6 = 4 - 6 = -2

  n = 3 ;   2n - 6 = 2*3 - 6 = 6 - 6 = 0

b) n=10;  2n - 6 = 2*10 - 6 = 20 - 6 = 14

Step-by-step explanation:

hello : let  An = 2n - 6

1) the first three terms are :

the first term is :  when   n= 1              A1 =2(1)-6 = 2-6 = -4

the second term is :   when   n= 2     A2 = 2(2)-6 = 4-6 = -2

the third term is : when  n= 3            A3 = 2(3)-6 = 6-6=0

2) the tenth term is : when n= 10       A10=2(10)-6 =20-6=14

(x+3)(x+7)

step-by-step explanation: