Step-by-step explanation:
Sequence is defined as arrangement f numbers in a specific or defined pattern. Sequence are categorized into
1) Arithmetic
2) Geometric
Arithmetic sequence are characterized by their common difference while Geometric sequence are characterized by their common ratio.
Given a sequance of numbers say;
T1, T2, T3...
The first term "a" of the sequence is T1
Common difference d = T2-T1 =T3-T2
Common ratio = T2/T1 = T3/T2
The formula for calculating nth term of an Arithmetic sequence is expressed as;
Tn = a+(n-1)d
a is the first term
n is the number of terms
d is the common difference
The nth term of a Geometric sequence is expressed as;
Tn = ar^{n-1}
r is the common ratio
Answer:
220 meter
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Area of square = 275 square meters
Side length (a) = 55 meters
We can calculate the perimeter of square by using following formula,
Perimeter of square = 4a
By putting the value, we get
Perimeter of square = 4 × 55 mt
= 220 meter
Hence, the perimeter of the square is 220 meter.
Answer:
-3
Step-by-step explanation:
Let the first term be a-d, second term be a and third term be a+d
d is the common difference
If each term, starting with the 3rd term, is found by multiplying the previous two terms then:
a(a-d) = a+d
a²+ad-a-d = 0
a(a+d)-1(a+d) = 0
(a+d)(a-1) = 0
a-1 = 0
a= 1
a+d = 0
1+d = 0
d = 0-1
d = -1
Get the sixth term
nth term of a sequence is expressed as
Tn = a+(n-1)d
T6 = 1+(6-1)(-1)
T6 = 1+5(-1)
T6 = 1-5
T6 = -4
Get the third term T3
T3 = a+2d
T3 = 1+2(-1)
T3 = 1-2
T3 = -1
difference between the 6th and 3rd terms in the sequence is expressed as;
Difference = T6-T3
Difference = -4-(-1)
Difference = -4+1
Difference = -3
Answer:
3rd option
Step-by-step explanation:
Given
← factor numerator and denominator
=
← cancel (x - 3) on numerator / denominator
= ![\frac{x-7}{x+4}](https://tex.z-dn.net/?f=%5Cfrac%7Bx-7%7D%7Bx%2B4%7D)