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In the continuous Efm=300+20m. series, if mean (x)=15+m and Find the number of terms N.


User Maz T
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1 Answer

24 votes
24 votes

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.

User Vicky Kumar
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