The first four terms of the sequence are 8,12,16 and 20.
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What is a Sequence?</u></h3>
- A sequence is an enumerated group of items in mathematics where repetitions are permitted and order is important. Similar to a set, it has members (also called elements, or terms).
- The length of the series is the number of elements (potentially infinite). In contrast to a set, the same items might appear more than once in a sequence at various points, and unlike a set, the order is important.
- A sequence can be described formally as a function from natural numbers (the positions of the sequence's elements) to the items at each of those positions.
- An indexed family, which is a function from an index set that may not be a set of numbers to another set of elements, can be thought of as a generalization of the idea of a sequence.
Given the function is f(n) = (2n+2)2
Now, we want first four terms, therefore, putting 1, 2, 3, 4 in the sequence we get:
f(1) = (2*1+2)2 = 8
f(2) = (2*2+2)2 = 12
f(3) = (2*3+2)2 = 16
f(4) = (2*4+2)2 = 20
Hence, The first four terms of the sequence are 8,12,16 and 20.
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Answer:
14x - 9x = 5x
Step-by-step explanation:
8x + 6 = 14x
6x + 3 = 9x
Answer:
The Total distance she travel fro work is 30 miles .
Step-by-step explanation:
Given as :
the total time taken to cover distance = 45 minutes
Let The total distance cover = D miles
The distance cover at the speed of 32 mph = 
miles
The time taken to cover miles distance = 
hour
Distance = Speed × Time
∴ = 32 mph × h
or, = 16 miles
Again ,
The distance cover at the speed of 56 mph = 
miles
The time taken to cover miles distance = 
hour
∴ = 56 mph × h
or, = 14 miles
So , The total distance she travel for work = +
Or, The total distance she travel for work = 16 miles + 14 miles = 30 miles
Hence The Total distance she travel fro work is 30 miles . Answer
Answer:
A(r) = √2 * r
A(r) Domain is R { r ; r > 0}
Step-by-step explanation:
Diagonals of a square intercept each other in a 90° angle. The four triangles resulting from diagonal interception are equal and are isosceles triangles, with hipotenuse a side of the square
Therefore we apply Pythagoras theorem
Let x be side of square, and r radius of the circle, ( diagonals touch the circle) then
x² = r² + r²
x² = 2r²
x = √2 * r
Now Aea of square is :
A = L² where L is square side
A(r) = √2 * r
Domain of A(r) = R { r, r > 0}
