Answer:
The explicit rule for the arithmetic sequence is given by:
......[1]
where,
is the first term
n is the number of terms and
d is the common difference for two consecutive terms.
As per the statement:
A recursive rule for an arithmetic sequence is:
The recursive formula for the arithmetic sequence is given by:
then;
On comparing we get;
d = -3
Substitute the given values in [1] we have;
⇒
Therefore, the explicit rule for this sequence is, 
Answer:
x=6; ∠b=68°
Step-by-step explanation:
8x+74+2x+56=190
10x+130=190
10x=60
x=6
2x+56
12+56
68
Volume of a sphere is (4/3)(pi)(r)^2 if r is 3.4 than the answer would be 24.65333pi or about 77.4115
To find:
Any two quadratic equations.
Solution:
The general form of a quadratic equation is:
Where, a,b and c are real number and a is non zero.
We know that a,b,c can take any values but a cannot be 0.
For a=1, b=1,c=1, we get
One quadratic equation is .
For a=3,b=-1,c=5, we get
Therefore, the two quadratic equations are and .
Answer:
We know that a tangent is a straight line that touches a curved surface or some curve at exactly one point. Or in short we may say that it just touches the curve. In geometry a chord is a straight line segment whose both end points lie on any curve.
Step-by-step explanation:
