Add the odd numbers divisible by 3 lying between 200 and 400.is arithmetic or geometric progression.
certainly not geometric. The numbers are
201,207,...
The common difference is 6.
Normally, numbers divisible by 3 have a difference of 3, but you need to skip the even ones, making the difference 6.
To find the odd numbers divisible by 3 between 200 and 400, we can follow these steps:
Step 1: Identify the range of numbers.
The given range is between 200 and 400.
Step 2: Define the conditions.
We are looking for odd numbers that are divisible by 3.
Step 3: Determine the first term.
The first odd number greater than or equal to 200 and divisible by 3 is 201.
Step 4: Find the last term.
The last odd number less than or equal to 400 and divisible by 3 is 399.
Step 5: Calculate the common difference or ratio.
In this case, since we are dealing with odd numbers, we can say it is an arithmetic progression with a common difference of 6. (If it were a geometric progression, we would have a common ratio instead.)
Step 6: Calculate the number of terms.
To find the number of terms in an arithmetic progression, we use the formula:
number of terms = ((last term - first term) / common difference) + 1
Plugging in the values, we get:
number of terms = ((399 - 201) / 6) + 1 = 33
Therefore, the odd numbers divisible by 3 between 200 and 400 form an arithmetic progression with a common difference of 6, and there are 33 terms in this sequence.