Here are the first five terms of an arithmetic sequence.

Mathematics

1 answer:

Assoli18 [71]3 years ago

8 0

Answer:

The nth term of an AP will be 27 -7n.

Step-by-step explanation:

First five terms of the Arthemetic Sequence is given to us , which is 26 , 19 , 12 , 5

Hence here Common Difference can be found by subtracting two consecutive terms . Here which is 19 - 26 = (-7) .

Here first term is 26 .

And the nth term of an AP is given by ,

★ T_n = a + ( n - 1) d

Substituting respective values ,

⇒ T_n = a + ( n - 1 )d

⇒ T_n = 26 + (n - 1)(-7)

⇒ T_n = 26 -7n+1

⇒ T_n = 27 - 7n

<h3>Hence the nth term of an AP can be found using T_n = 27 - 7n. </h3>

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The new building is 22.5 inches from the gymnasium in the model. What will be the actual

Len [333]

Answer:

67.5feet

Step-by-step explanation:

Given parameters:

Model distance between building and gymnasium = 22.5 inches

Scale of model : 1 inch = 3 feet

Unknown:

Actual ground distance = ?

To solve this problem, we first must understand the concept of scale. A scale is a relationship that represents a dimension on a map/model compared to the true ground expression. In order to visualize or represent some real life objects on paper or in a computer, we use models. These models are an abstraction of the real world based on scales. There are different ways of representing a scale.

In this problem;

the scale is given as;

1 inch on model represents 3 feet on ground

Now, to find 22.5 inches, simply cross multiply and solve;

If 1 inch on model represents 3 feet on ground

22.5 inches on a model will be = $\frac{22. 5 inches x 3 feet }{1 inches}$