Answer:
Common Ratio = First Term = Common Difference.
Step-by-step explanation:
The general term of AP is an = a + (n-1)d
So, the second term of AP is a2 = a + d
The sixth term of AP is a6 = a + 5d
The eighteenth term of AP is a18 = a + 17d
Now, the terms a2, a6 and a18 are in GP.
⇒ 
or, 
By cross multiplying, we get
or, 
Now, simplifying the above expression, we get that
or, r = a = d
Hence, the Common Ratio = First Term = Common Difference.
Step-by-step explanation:
Divide each term in 4x=6 by 4
.
4x4=64
Reduce the expression by cancelling the common factors.
x=64
Reduce the expression by cancelling the common factors.
x=32
The result can be shown in multiple forms.
Exact Form:
x=32
Decimal Form:
x=1.5
Mixed Number Form:
x=112
The linear inequalities that will limit the solution region in a linear programming problem are called the origin.
<u>Explanation</u>:
- The x-axis is a horizontal line, and it is perpendicular to the y-axis. The origin is called the convergence of the two axes. This property allows multiplying a term or terms into a polynomial.
- The origin is a starting point, and in mathematics, the origin can also be said as the starting point.
- The co-ordinates for every other point are based on how far from the origin that point is. x and y are equal to zero at the origin and cross the x-axis and y-axis.
17 books in total, and 8 new. To find the number of used books, we subtract 8 from 17.
17-8= 9 used books
Now we have 8 new books and 9 used books.
All books: 17
Used books: 9
New books: 8
(a) all books: used books
17: 9
(b) new books: used books
8: 9
