Find all the powers of 3 that are in the range from 3 through 1,000.

It means you need to find every power of 3 that are in the range of 3-1000 - the power is the number that says how many times you multiply the original number by itself So 3 to the 1st power is 3 = 3 3 to the 2nd power is 3X3 = 9 3 to the 3rd power is 3X3X3 = 27 And so on... Hope I helped!

Answered by rescuecats1217 | 2024-06-10

the powers of 2 that are in the range 2 through 1,000 are 2,4,8,16,32,64,128,256,&512.

" This means that we are asked to find the value of 2 n for each n belonging to natural numbers.
Now we will stop our approximation when the value exceeds 1000.
i.e. the range is from 2-1000 ".
since the next number after 512 is 512×2=1024 which exceeds 1000. hence our successive approximation will stop at 512.

similarly for the powers of 3 i.e. 3 n

We will start writing our approximation and stop when it will exceed 1000.
i.e. 3 , 3 2 = 9 , 3 3 = 27 , 3 4 = 81 , 3 5 = 243 , 3 6 = 729
i.e**. the sequence is: 3,9,27,81,243,729.**
We stopped at 729 because the next number in the series would be:
3 7 = 2187
which exceeds 1000. ;

Answered by virtuematane | 2024-06-12

The powers of 3 within the range of 3 to 1,000 are 3, 9, 27, 81, 243, and 729. We calculated the powers starting from 3 1 and stopping just before exceeding 1,000. The next power, 3 7 = 2187 , exceeds this limit.
;

Answered by virtuematane | 2024-12-26