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
We know that perimeter of the triangle its a+b+c=570
Moreover we know that:
a=b
b=b
c=2b-30
Finally we can substitute into our formula
b+b+2b-30=570
4b-30=570 /+30
4b=600 /:4
b=150 - its a and b side
c=2*b-30
c=300-30
c=270 - its c side
It's when you develop further ideas about a theory based on the you did research and make a claim