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Description: Divide by two
Next three terms: 1/8, 1/16, 1/32
Explanation:
<em>How to get next term?</em>
Divide the number before by two to get the next term.
<em>How do you get the pattern?</em>
I observed a pattern that each next number was divided by two.
Answer:
The 13th term is 81<em>x</em> + 59.
Step-by-step explanation:
We are given the arithmetic sequence:

And we want to find the 13th term.
Recall that for an arithmetic sequence, each subsequent term only differ by a common difference <em>d</em>. In other words:

Find the common difference by subtracting the first term from the second:

Distribute:

Combine like terms. Hence:

The common difference is (7<em>x</em> + 5).
To find the 13th term, we can write a direct formula. The direct formula for an arithmetic sequence has the form:

Where <em>a</em> is the initial term and <em>d</em> is the common difference.
The initial term is (-3<em>x</em> - 1) and the common difference is (7<em>x</em> + 5). Hence:

To find the 13th term, let <em>n</em> = 13. Hence:

Simplify:

The 13th term is 81<em>x</em> + 59.
Answer:
A. -61/9
Step-by-step explanation:
(7x + 28) + (7x +28) = 5x - 5 . . . . . . . given equation
14x +56 = 5x -5 . . . . . . . . . . . . . . . . . collect terms
9x = -61 . . . . . . . . . . . . . . . . . . . . . . . . subtract 5x+56
x = -61/9 . . . . . . . . . . . . . . . . . . . . . . . . divide by the coefficient of x
Answer:12
Step-by-step explanation:
Let the numbers be a and b
a-3b=5 ........equation (1)
There product is :
ab=68 ..........equation (2)
From equation (1)
a-3b=5
Make a the subject of the formula
a=5+3b. ........equation (3)
Substitute equation (3) into equation (2)
(5+3b)b=68
3(b^2)+3b-68=0
The product is -204b^2(17 and -12)
(b+17)(b-12)=0
b=-17 or b=12
So the number is 12