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.
Answer:
The number is -1/2.
Step-by-step explanation:
I am assuming they are fractions. So we have the equation:
5/2 x + 2/3 = -7/12
We multiply through by 12 to eliminate the fractions:
5/2 * 12 x + 2/3 * 12 = -7/12 * 12
30x + 8 = -7
30x = -15
x = -15/30
x = -1/2.
Answer:
4(19x + 17)
Step-by-step explanation:
76x + 68 both numbers are divided by 4 so we fact out 4 and introduce the brackets : 4(19x + 17 )
Answer:
the angle measurement is 75
Step-by-step explanation:
Answer:
1.) k + 516
2.) 2n - 4 = 3
3.) 57 - 2s
4.) 9h = 153
5.) c = 5n
Step-by-step explanation:
All of the problems given require you to set up an expression or equation. Expressions have a variable and a coefficient or a constant. Equations also have a variable, coefficient or constant but also include an equal sign.
1.) last year's miles = k, this year = 516, so total: k + 516
2.) twice the difference of a number and 4 equals 3
twice a number = 2n; difference of this number and 4: 2n - 4; equals 3: =3
2n - 4 = 3
3.) 57 decreased: 57 -; twice her savings: 2s: 57 - 2s
4.) 153 is: 153 =; the product of height and 9: 9h, so 9h = 153
5.) notebooks 'n', were $5 each: 5n; total cost = c, so 5n = c
