Answer:
Step-by-step explanation:
The sequence shown matches that of a geometric sequence of radius 4. To prove it, divide the term 
and check that 
Then the formula that represents this sequence is:
Where 
is the first term of the series = 2 and 
is the radius of convergence = 4.
Then the equation is:
Answer:
For length of side = 3 cm
Area of the square = 9 cm²
For length of side = 10.5 cm
Area of the square = 110.25 cm²
For length of side = π cm
Area of the square = 9.869 cm²
Step-by-step explanation:
The area of a square is given as :
Area = Side²
therefore,
For length of side = 3 cm
Area of the square = ( 3 cm )² = ( 3 × 3 ) cm² = 9 cm²
For length of side = 10.5 cm
Area of the square = ( 10.5 cm )² = ( 10.5 × 10.5 ) cm² = 110.25 cm²
For length of side = π cm
Area of the square = ( π cm )²
= ( π × π ) cm²
= 3.14² cm² [π = 3.14]
= 9.869 cm²
Scale factor is used by architects or engineers to transfer their prototype idea to large-scale use. If the volume of a prism is 20, you need to multiply its dimensions with a scale factor to find the new volume which is 540. For example, if the volume is doubled, this means you used a scale factor of 2. Hence, you just have to divide the new volume by the smaller volume.
Scale factor = 540/20
Scale factor = 27
