Answer:
the number of terms N in the series is approximately 8.57, which is approximately equal to 9.
Explanation:
The mean of a series is calculated by taking the sum of all the terms in the series and dividing it by the number of terms. In this case, the mean of the continuous series Efm=300+20m is given as x=15+m.
To find the number of terms N in the series, we can use the formula for the mean to solve for N. The formula for the mean is:
mean = sum of terms / number of terms
Substituting the given values, we get:
15+m = (300+20m) / N
We can then multiply both sides of the equation by N to isolate the sum of terms:
(15+m) * N = 300+20m
This simplifies to:
15N + mN = 300 + 20m
We can then combine like terms to get:
(15+20)N = 300
35N = 300
Dividing both sides by 35, we get:
N = 300/35
N = 8.57
Since the number of terms must be a whole number, the number of terms N in the series is approximately 8.57, which is approximately equal to 9.