Final answer:
To find the value of p and the exact value of N in a continuous series with a given mean of 20, substitute the mean and expression for N into the formula fm = 800 + 15p. Solve for p and N using algebraic methods.
Step-by-step explanation:
In a continuous series, the mean is given as 20. The formula for finding the sum of the series is fm = 800 + 15p, where p represents the number of terms in the series. The total number of terms is represented by N, which is given as 10 + p. To find the value of p and the exact value of N, we can solve the equations.
First, we substitute the given mean of 20 into the formula: 20 = (800 + 15p) / N.
Then, we substitute the given expression for N: 20 = (800 + 15p) / (10 + p). We can then solve for p and N using algebraic methods.
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