Nadia cuts 3 pieces of equal length from 8 yards of ribbon. How long is each piece?
2 answers:
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Given:
The sum of two terms of GP is 6 and that of first four terms is
To find:
The sum of first six terms.
Solution:
We have,
Sum of first n terms of a GP is
...(i)
Putting n=2, we get
...(ii)
Putting n=4, we get
(Using (ii))
Divide both sides by 6.
Taking square root on both sides, we get
Case 1: If r is positive, then using (ii) we get
The sum of first 6 terms is
Case 2: If r is negative, then using (ii) we get
The sum of first 6 terms is
Therefore, the sum of the first six terms is 7.875.
The value of the number 2.4x10⁻⁴ in the standard notation is 0.00024.
<h3>What are Scientific notations?</h3>The way through which a very small or a very large number can be written in shorthand. In scientific notations when a number between 1 and 10s is multiplied by a power of 10.
For example, 6,500,000,000,000 can be written as 6.5×10¹².
As the value of the scientific notation is given 2.4x10⁻⁴, therefore, for bringing it in the standard form we need to shift the decimal to the left by four digits. So,
Hence, the value of the number 2.4x10⁻⁴ in the standard notation is 0.00024.
Learn more about Scientific notation: