Find the average of the first 14 positive odd integers.
I think
1+3+5+7+9+11+13+15+17+19+21+23+25+27=196
answer:196/14=14
but I am not sure
you are correct. Why would you not be sure, unless you don't trust tour addition?
Just FYI, the sum of the 1st n odd numbers is n^2, so in this case the sum is indeed 14^2.
So, the average of the 1st n odd numbers is always n^2/n = n.
thank you
To find the average of the first 14 positive odd integers, you need to:
1. Identify the first positive odd integer: The first positive odd integer is 1.
2. Determine the 14th positive odd integer: Since we need to find the average of the first 14 positive odd integers, we know that the 14th odd integer will be found by multiplying 14 by 2 and subtracting 1. So the 14th odd integer is 27.
3. Find the sum of the first 14 positive odd integers: To find the sum, you can use the formula for the sum of an arithmetic series: Sn = (n/2)(a + l), where Sn is the sum, n is the number of terms, a is the first term, and l is the last term. Plugging in the values, Sn = (14/2)(1 + 27) = 14(28) = 392.
4. Calculate the average: Divide the sum by the number of terms. In this case, the number of terms is 14. Therefore, the average is 392/14 = 28.
So, the average of the first 14 positive odd integers is 28.