Find the rule, add two more terms in the sequences
3 1/3, 2 1/2, 2 2/3, , ,

9514 1404 393

  (6.2, 4.5)

Step-by-step explanation:

We want, for some point P, ...

  (P -A) / (B -P) = 1 / 3

  3(P -A) = (B - P) . . . . . multiply by 3

  4P = B +3A . . . . . . . . add P+3A

  P = (B +3A)/4 . . . . . . .divide by 4

Filling in the coordinate values, we can find P to be ...

  P = ((2.3, 5.4) +3(7.5, 4.2))/4 = (2.3+22.5, 5.4+12.6)/4

  P = (6.2, 4.5)