Answer:
The sum of the first 37 terms of the arithmetic sequence is 2997.
Step-by-step explanation:
Arithmetic sequence concepts:
The general rule of an arithmetic sequence is the following:
In which d is the common diference between each term.
We can expand the general equation to find the nth term from the first, by the following equation:
The sum of the first n terms of an arithmetic sequence is given by:
In this question:
We want the sum of the first 37 terms, so we have to find 
Then
The sum of the first 37 terms of the arithmetic sequence is 2997.
9514 1404 393
Answer:
a = 64, b = 90, c = 26, d = 90, e = 26, f = 120, g = 120, h = 60,
i = 56, j = 124, k = 56
Step-by-step explanation:
Vertical angles are congruent; linear pairs are supplementary; two angles dividing a right angle are complementary. These are the angle relations you need to know to solve this.
__
Working from the top and from the given angles, ...
h = 60°
f = g = 180° -h = 120°
j = 124°
k = i = 180° -124° = 56°
a = 64°
b = d = 90°
c = e = 90° -64° = 26°
In summary, measures in degrees are ...
a = 64, b = 90, c = 26, d = 90, e = 26, f = 120, g = 120, h = 60,
i = 56, j = 124, k = 56
Answer:
3000 words
Step-by-step explanation:
450 words in 3 minutes is 150 words in 1 minute. 20 minutes = 1 times 20.
1 minute = 150 words so 150 words times 20 minutes = 3000 words.
The side that is parallel to the side that is 15 yards, the one that is 6 yards.
subtract 6 from 15 (15 - 6) and you get?
that is your answer.
Answer:
<h2>This value is called the common difference</h2>
Step-by-step explanation:
The common difference is the constant value which is repeatedly added to each term in an arithmetic sequence to obtain the next term, it is basically the difference between consecutive numbers
To find the common difference we can subtract the previous term from the first time or the second to the last term from the last term, the idea of finding the common difference is basically subtracting the previous term form the subsequent term.
