What is the x-coordinate of the point that divides the
directed line segment from kto j into a ratio of 1: 3?
k(9,2)
1 2 3 4 5 6 7 8 9 10 11 12 x
top tuppo

j (1.-10)

The square is 731

Step-by-step explanation:

Let me try...13 , 1 + 35 + 7, 1 + 3 + 57 + 9 + 11 , 1 + 3 + 5 + 79 + 11 + 13 + 15 ...(1)

grab the main number in each sequence: 13,35,57,79,911,1113

There is another arithmetic sequence: 1, 3, 5, 7, 9, 11

a₁ = 1    aₙ = 2n - 1

365367 : 2n - 1 = 365       2n = 366      n = 183  ... 365367 is in the place 183 of the series sequence

Now let's check the number follow the underlined number in (1)

0 number follow 13, 1 number follow 35, 2 number follow 57, 3 follow 79

0, 1, 2, 3, 4 until n=183 should have 182 numbers followed 365367

Now this last sequence start with 369 (a₁) with a difference of 2 from term to term

a₁₈₂ = 2n + 367 = 2 x 182 + 367 = 731