Find the first four terms of the sequence an = n(5n+5)

1 answer:

7 0

First = 1(5(1)+5) = 1(5+5) = 10
second = 2(5(2)+5) = 2(10+5) = 30
third = 3(5(3)+5) = 3(15+5) = 60
fourth = 4(5(4)+5) = 4(20+5) = 100

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6 0

3 years ago

Step2247 [10]

The area of the shaded region is [(169π/4)-60]m².

The length of the rectangle is 12 m.
The breadth of the rectangle is 5 m.
The area of the rectangle = length * breadth.
The area of the rectangle = 12 * 5
The area of the rectangle = 60m²
Let h be the diagonal of the rectangle.
Using the Pythagorean theorem,
h² = 12² + 5²
h² = 144 + 25
h² = 169
h = √169
h = 13
The diagonal of the rectangle is also the diameter of the circle.
Let r be the radius of the circle.
2r = 13
r = 13/2m
The area of the circle is πr².
The area of the circle = π(13/2)²
The area of the circle = (169π/4)m²
The area of the shaded region equals the area of the circle minus the area of the rectangle.
The area of the shaded region = [(169π/4) - 60]m²