Question

in a series 2,3,5,6,7,11......there is no cube or square of any number. Find the 1000 digit in the series?

Answer 1

where is 10?

Answer 2

why 10?

Answer 3

but if you write 4 this will be one square of 2 and if will write 9 this will be one square of 3 or 16 will be one square of 4 or ... or 27 will be one cube of 3 but before if you write 8 this is one cube of number 2

Answer 4

yes u r right sorry
the actual series is as

2,3,5,7,10,11............

Answer 5

i think its answer is 1039

Answer 6

sorry i think this is very difficult why you think that 1039 is the answer ?

Answer 7

remove all the square from 2 to 33 & also remove cube of 1 to 10 number

Answer 8

ok and ???

Answer 9

one minute

Answer 10

taking square of
2^2=4
3^2=9
4^2=16
5^2=25
..... ....
32^2=1024
as we know that 30^2 is 900 so we only calculate 31^2=961 which is less than 1000 & 32^2=1024 which is greater than 1000 so we taking only 31^2=961

so as this we know that there is we removing 2 to 31 numbers squares i.e. 30 from 2 to 1000

again we can caluculate cubes
2^3=8
3^3=9
4^3=16
5^3=125
6^3=216
7^3=343
8^3=512
9^3=729
10^3=1000 we not taking more than 10 cube
total removes of cubes=9
then we can see that 64 & 729 is as two numbers which is comman to both
so we can total remove=30+7=37

so we remove 999-37=962 then we know that 1001 is the 962th term then we want to find 1000th term
so we add 1001+38 to find 1000th term i.e. 1039
but in this there is one more square term is to be there which want to be remove that is 32^2 which is 1024.

so definetly the 1000th term is 1040

hence the answer is 1040

Answer 11

4 cubed not is 16 is 64

Answer 12

oh sorry by mistak but answer is right

Answer 13

i like belive it but i am not sure in - sorry

Answer 14

so u find answer