Question

Fill in the blanks with the arithmetic progression - 19,___,31​

Answer 1

Step-by-step explanation:

a = 19

a+2d = 31

19+2d = 31

2d = 31-19

2d = 12

d = 6

a+d = 19+6 = 25

Answer 2

Answer:

Let the first term of Ap be = a

and common difference be = d.

a, a+d, a+2d, a+3d, a+4d, a+5d.

a+2d = 19 (i) and a+5d = 31 (ii)

from (ii)-(i)

( a+5d) -(a+2d)

=31 - 19

3d= 12

3/ 12= 4

d=4 in (i)

a+2d=19

a=19-2*4=11

The series will be

11, (11+4), ( 11+8), (11+12), ( 11+16), (11+20)

{ 11, 15, 19, 23, 27, 31}

Hope it helps!