Question

Find the common differnce and write next four terms of the AP -1,1/4,3/2........…?

Answer 1

common difference, d=a2-a1 =1/4-(-1) =1/4+1 =5/4
next 4 terms are a4,a5,a6,a7

here a4= a+3d= (-1)+3(5/4) =11/4

a5=a+4d=(-1)+4(5/4) =4

a6=a+5d=(-1)+5(5/4) =21/4

a7=a+6d=(-1)+6(5/4)= (15/2)-1 = 13/2 or 26/4

Answer 2

Answer:

common difference, d=a2-a1 =1/4-(-1) =1/4+1 =5/4

next 4 terms are a4,a5,a6,a7

here a4= a+3d= (-1)+3(5/4) =11/4

a5=a+4d=(-1)+4(5/4) =4

a6=a+5d=(-1)+5(5/4) =21/4

a7=a+6d=(-1)+6(5/4)= (15/2)-1 = 13/2 or 26/4

Step-by-step explanation: