Explanation:
A sequence is a list of numbers.
A <em>geometric</em> sequence is a list of numbers such that the ratio of each number to the one before it is the same. The common ratio can be any non-zero value.
<u>Examples</u>
- 1, 2, 4, 8, ... common ratio is 2
- 27, 9, 3, 1, ... common ratio is 1/3
- 6, -24, 96, -384, ... common ratio is -4
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<u>General Term</u>
Terms of a sequence are numbered starting with 1. We sometimes use the symbol a(n) or an to refer to the n-th term. The general term of a geometric sequence, a(n), can be described by the formula ...
a(n) = a(1)×r^(n-1) . . . . . n-th term of a geometric sequence
where a(1) is the first term, and r is the common ratio. The above example sequences have the formulas ...
- a(n) = 2^(n -1)
- a(n) = 27×(1/3)^(n -1)
- a(n) = 6×(-4)^(n -1)
You can see that these formulas are exponential in nature.
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<u>Sum of Terms</u>
Another useful formula for geometric sequences is the formula for the sum of n terms.
S(n) = a(1)×(r^n -1)/(r -1) . . . . . sum of n terms of a geometric sequence
When |r| < 1, the sum converges as n approaches infinity. The infinite sum is ...
S = a(1)/(1-r)
To find the expression for the area of the rectangular garden we will find the area of the rectangle in the picture and then double it.
Area of the garden will be represented by the expression 32s⁵ ft².
Mrs. Lopez is designing her rectangular garden which is 2 times greater than the area of the rectangle shown in the picture.
Dimensions of the rectangle in the picture are 4s³t ft and 8s² ft.
Therefore, area of the rectangle in the picture = Length × Width
= 4s³t × 8s²
= 32s⁵t ft²
Since, area of the garden is 2 times greater than the area of the rectangle given in the picture.
Therefore, area of the garden = 2(area of the rectangle given in the garden)
= 2(32s⁵t) square feet.
= 64s⁵t square feet
Learn more,
brainly.com/question/17419256
Answer:
whats the shape?
Step-by-step explanation:
So if m=4a+2c is your equation then all you have to do is plug in the numbers.
So you then get m=4(25)+2(7), for 25 adults and 7 children.
Then you solve. m=100+2(7)
m=100+14
m=114
So Frank will need 114 Meatballs for the party of 25 adults and 7 children
Hope this helps! And if you need anything else just ask :)
