next number in the sequence

[sanju09]

What is the next number in the sequence 3, 0, 3, 12, 27, 48, 75….?
A• 96
B• 105
C• 108
D• 144
E• 150

[spoiler]OA :roll:[/spoiler]

[Morgoth]

3 , 0, 3, 12, 27, 48, 75

3*1, 3*0, 3*4, 3*9, 3*16, 3*25

so basically our actual sequence is

1, 0, 1, 4, 9, 16, 25

the difference between each number is increasing by 2, or every odd positive integer


0-1 = -1

1-0 = 1

4-1 = 3

9-4 = 5

16-9 = 7

25-16 = 9


-1, 1, 3, 5, 7, 9 --11

25+11 = 36

36*3 = 108 -----------------OA?

[sanju09]

3 , 0, 3, 12, 27, 48, 75

3*1, 3*0, 3*4, 3*9, 3*16, 3*25

so basically our actual sequence is

1, 0, 1, 4, 9, 16, 25

the difference between each number is increasing by 2, or every odd positive integer


0-1 = -1

1-0 = 1

4-1 = 3

9-4 = 5

16-9 = 7

25-16 = 9


-1, 1, 3, 5, 7, 9 --11

25+11 = 36

36*3 = 108 -----------------OA?

This explanation could confuse the minority, but it's karr-act in the end.

[Mozartain]

3 , 0, 3, 12, 27, 48, 75

3*1, 3*0, 3*1, 3*4, 3*9, 3*16, 3*25

so basically our actual sequence is

1, 0, 1, 4, 9, 16, 25

I want to carry on from here, and I really think you've done a very good job up to this point.

If you look at the sequence 1, 0, 1, 4, 9, 16, 25, you can see they're all perfect squares of -1, 0, 1, 2, 3, 4, 5. So the next one should be 6^2=36

Now it's simple --> 3*36 = 108

[sanju09]

oic...oac

[cat er ina]

hey guys check this out.

sequence is 0 3 3 12 27 48 75.

find the path: from 3 to 12 it s 9 numbers, from 12 to 27 it's 15 numbers, from 27 to 48 it s 21 numbers, from 48 to 75 it s27 ...notice that the sequence icreases of six 9+6 is 15, 15+ 6 is 21, 21+6 is 27 and so on. so let s add six to 27 and we get 33 so the distance between 75, which is the last number that we know is in the set, is going to be 33, add 33 to 75 and it is 108.. am I right??

[sanju09]

hey guys check this out.

sequence is 0 3 3 12 27 48 75.

find the path: from 3 to 12 it s 9 numbers, from 12 to 27 it's 15 numbers, from 27 to 48 it s 21 numbers, from 48 to 75 it s27 ...notice that the sequence icreases of six 9+6 is 15, 15+ 6 is 21, 21+6 is 27 and so on. so let s add six to 27 and we get 33 so the distance between 75, which is the last number that we know is in the set, is going to be 33, add 33 to 75 and it is 108.. am I right??

it's another great observation