What is the next logical number in this sequence 1 6 18 40 75?

Answer 1

increase of three every time: calculations in bold

-------------- 7 --------------- 10 -------------- 13 --------------- 16 ------------ 19

---------------^---------------- ^---------------- ^ -----------------^-------------- ^

-------5 ------------- 12 --------------- 22----------------35 --(35+16)=51------- 70

------- ^ difference ^ between two ^ #'s bellow - ^ ---------------- ^

1 --------------- 6 ---------------- 18---------------- 40 ----------------75 -- (75+51)=126

therefore the next logical number is 126.

ignroe the dashes lol. it just wouldn't let me put spaces.

Answer 2

The next logical number in this sequence is 126. This sequence follows a pattern where each number is the sum of the previous number and a multiple of increasing odd numbers: 1 + 5 = 6, 6 + 12 = 18, 18 + 22 = 40, 40 + 35 = 75, and 75 + 51 = 126.

Answer 3

Oh, isn't that a lovely sequence of numbers? Let's see here, it seems like each number is increasing by a larger amount each time. If we look closely, we can see that the differences between the numbers are 5, 12, 22, and 35. So, the next logical number would be 120, as it follows the pattern of increasing differences.

Answer 4

Well, darlin', the next number in that sequence is 126. You see, the pattern here is adding the next odd number to the previous number, starting with 1 and adding 5, then 7, then 9, then 11. So, 75 + 11 = 86. Voilà!