Question

Can someone help me with this​

Answer 1

Explanation:

a) -14 , -9 , -4 , 1 ................

Common difference = d = 2nd term - 1st term

= -9-[-14]

= -9 + 14

d = 5

The next term can be got by adding 5 to the previous term

5th term = 1 + 5 = 6

6th term = 6 + 5 = 11

7th term = 11 + 5 = 16

Next 3 terms are : 6 , 11 , 16

`b) (5)/(6),(2)/(3),(1)/(2),(1)/(3),.....\\\\d = (2)/(3)-(5)/(6)\\\\=(2*2)/(3*2)-(5)/(6)\\\\=(4)/(6)-(5)/(6)\\\\=(-1)/(6)\\\\a_(5) = (1)/(3)+(-1)/(6)=(1*2)/(3*2)+(-1)/(6)=(2)/(6)+(-1)/(6)=(1)/(6)\\\\a_(6)=(1)/(6)+(-1)/(6)=0\\\\a_(7)=0+(-1)/(6)=(-1)/(6)\\\\\\Next 3 terms : (1)/(6),0,(-1)/(6)`