Question

Find the common difference and write next four terms of the A.P. 16, 11,

6, 1​

Answer 1

Answer:

given that:

16,11,6,1 are inA. P.

a1, a2, a3, a4, a5, a6, a7, a8

common difference=a2-a1

=11-16

=-5

now, first term,a1 = 16

common difference=-5

next four terms,

a5=a4+d

=1-5

=-4

a6=a5+d

=-4-5

=-9

a7=a6+d

=-9-5

=-14

a8=a7+d

=-14-5

=-19

we get an A. P. =16, 11, 6, 1, -4, -9, -14, -19