Question

If 13, x, y, and 31 are the
four consecutive terms of an
A.P., then what are the
respective values of x and y?
1) 17 and 26
2) 19 and 27
3) 18 and 26
4) 19 and 25
​

Answer 1

Answer:

4) 19 and 25

Step-by-step explanation:

a1/a=13

n=4

a4=a+(4-1)d

31=13+3d

31-13=3d

18=3d

d=18/3

d=6

a2=a+(2-1)d a3=a+(3-1)d

a2=13+1d a3=13+2d

a2=13+6 a3=13+2(6)

a2=19 a3=13+12

a2=19 a3=25