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To find the harmonic mean between two given quantities
Let H be the harmonic mean between the quantities a and b. ..
Let H be the harmonic mean between the quantities a and b. ..To find the sum to infinity of a GP when the common ratio r is numerically less than 1
Consider the GP a, ar, ar 2 ... ..
Consider the GP a, ar, ar 2 ... ..Note 1:
The above formula is useful for finding the logarithm of negative numbers als..
Note 2:
If a and b are positive numbers, then the above method can also be applied to find the numerically greatest term in the expansion of (a - b) n..
Note:
Set of real numbers is a proper subset of the set of Complex numbers..
Common factor
A number which is a factor of two or more numbers is called a common factor of these numbers. e.g., 4 is a common factor of 16 and ..
Step 4:
Conclude that the result holds for all natural numbers..
Step 3:
Find the value of ..
Significant Figures
We use specific number of digits to denote an exact value of a number for required accuracy. The digits used for such a purpose are called significant figures. The difference between these two values is called the absolute error. Absolute Error = Original number..
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