The figures below show a pattern.
1 answer:
Answer:
= 3n + 1
Step-by-step explanation:
Th number of squares in each figure is
4, 7, 10, ....
The terms have a common difference, that is
7 - 4 = 10 - 7 = 3
The number of squares in the n th figure is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 4 and d = 3, thus
= 4 + 3(n - 1) = 4 + 3n - 3 = 3n + 1
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First, we have
(1 + 2/x²) (2x - 3/x)⁵ = (2x - 3/x)⁵ + 2/x² (2x - 3/x)⁵
In the expansion of (2x - 3/x)⁵, there is no x² term. Each term takes the form
where c is a binomial coefficient, and i is taken from the range {0, 1, 2, 3, 4, 5}. Looking at just the power of x in the product, we have
and 5 - 2i = 1 only if i = 2. By the binomial theorem, this term is given by
In the other expansion, we have an additional factor of 1/x², so that any given them in the expansion contains a power of x of the form
and 3 - 2i = 1 only if x = 1. This term in the expansion is
Then the coefficient of the x term in the whole expansion is 720 - 480 = 240.
Answer:
The correct answer is D. 360°
Step-by-step explanation:
The sum of all the exterior angles of a regular n-gon or a polygon is always equal to 360°.
Let us consider the image attached.
First of all let us consider the triangle.
As per the property of exterior angles: The exterior angle is equal to the sum of 2 opposite interior angles.
Where are the interior angles of the triangle.
Adding the above equations:
The sum of interior angles of a triangle is always equal to 180°
Hence, proved that the sum of exterior angles is .
So, the correct answer is D.
