Geometric Krater
The Geometric Krater is a magnificent piece of Greek Art. In the eight century, vase painting became very popular. The vases show a great show a great variety of style and development over the centuries, beginning with the geometric and very linear style. They then continued through the oriental style which borrowed images from the eastern world, and into the classical era with mythology portrayed with as much classical accuracy as the ancient Greek potters and painters could muster. The majority of the vases were made of a ceramic material which could easily be used for everyday uses, however in this time, the artists would then paint on them in order to decorate them and make them ornate enough to be used for cultural or ceremonial uses such as grave markers. The Geometric Krater is a prime example of the vase painting movement in Greek art.

Originally made in approximately 740 B.C in Athens, Greece, the Geometric Krater was used as a grave marker in the Dipylon cemetery and now can be located in the Metropolitan Museum of Art in New York City. The vase stands about three and a half feet high and is in the krater' shape. This shape is classified as having round body, a wide mouth, a heavy stand and a handle on either side, (Pottier). This specific vase was made to serve a purpose besides to decorate the grave site. It was made with holes "cut out of its bottom in order for liquid offerings to be poured to the dead," (Vlamis). The vase itself is golden, embellished with black and red geometric designs. These geometric designs are made up of intense details and intricate designs. The base of the vase is covered in thick black stripes separated by thinner and more decorative golden stripes. On the top half of the vase is where the designs become very intricate and are actually depictions of things. There are two main bands in which scenes are drawn out. Upon looking closely, one will see that the a funeral scene is represented....

...Analysis: Terracotta Krater
The terracotta krater originated in Greece between 750-700 BCE, known as the Geometric period. They were said to have been monumental grave markers. Most kraters were typically large, some over forty inches. They were made of ceramic and painted with linear designs, separated by registers. These vases were used to depict art in order to reveal a story. The artist wanted its viewers to capture the sense of...

...Assessment 09.08 Geometric Series Activity
Material list:
three different balls of various sizes and textures
measuring tape or yardstick
a blank wall
a step stool or chair
a family member or friend
Procedures:
1. Choose a height from which all of the balls will be dropped one at a time.
2. Vertically along the blank wall, set up the measuring tape and step stool or chair.
3. Have a family member or friend stand on a step stool and drop one of the balls from the chosen...

...CHAPTER 7 ARITHMETIC AND GEOMETRIC PROGRESSIONS
7.1 Arithmetic Progression (A.P)
7.1.1 Definition
The nth term of an arithmetic progression is given by
,
where a is the first term and d the common difference. The nth term is also known as the general term, as it is a function of n.
7.1.2 The General Term (common difference)
Example 7-1
In the following arithmetic progressions
a. 2, 5, 8, 11, ...
b. 10, 8, 6, 4, ...
Write (i) the first term, (ii) the...

...
This work MAT 126 Week 1 Assignment - Geometric and Arithmetic Sequence shows "Survey of Mathematical Methods" and contains solutions on the following problems:
First Problem: question 35 page 230
Second Problem: question 37 page 230
Mathematics - General Mathematics
Week One Written Assignment
Following completion of your readings, complete exercises 35 and 37 in the “Real World Applications” section on page 280 of Mathematics in Our World ....

...Lesson Plan
Name: Geometric Solids
Content Area: Math
Grade Level: Kindergarten
Time Frame: 45 min
Prior to this lesson the students had a lesson on attributes. The children defined and identified attributes in different two-dimensional shapes.
MA Framework Standard:
Geometry K.G
Identify and describe shapes (squares, circles, triangles, rectangles, hexagons, cubes, cones, cylinders, and spheres).
2. Correctly name shapes regardless of their orientations...

...1
“Arithmetic vs. Geometric Means: Empirical
Evidence and Theoretical Issues”
by Jay B. Abrams, ASA, CPA, MBA
Copyright 1996
There has been a flurry of articles about the relative merits of using the arithmetic mean
(AM) versus the geometric mean (GM). The Ibbotson SBBI Yearbook took the first position
that the arithmetic mean is the correct mean to use in valuation. Allyn Joyce’s June 1995
BVR article initiated arguments for the GM as the correct mean....

...of the geometric sequence 8, –16, 32 … if there are 15 terms? (1 point)
= 8 [(-2)^15 -1] / [(-2)-1]
= 87384
2. What is the sum of the geometric sequence 4, 12, 36 … if there are 9 terms? (1 point)
= 4(3^9 - 1)/(3 - 1)
= 39364
3. What is the sum of a 6-term geometric sequence if the first term is 11, the last term is –11,264 and the common ratio is –4? (1 point)
= -11 (1-(-4^n))/(1-(-4))
= 11(1-(-11264/11))/(1-(-4))
= 2255
4....

...& Sums
Introduction
A geometric sequence is a sequence such that any element after the first is obtained by multiplying the preceding element by a constant called the common ratio which is denoted by r. The common ratio (r) is obtained by dividing any term by the preceding term, i.e.,
where | r | common ratio |
| a1 | first term |
| a2 | second term |
| a3 | third term |
| an-1 | the term before the n th term |
| an | the n th term |...

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