Answer:
a₈ = - 10935
Step-by-step explanation:
the nth term of a geometric sequence is
= a₁ 
where a₁ is the first term and r the common ratio
here a₁ = 5 and r =
=
= - 3 , then
a₈ = 5 ×
= 5 × - 2187 = - 10935
Answer:
The system of linear equations are
and 
Step-by-step explanation:
Given : The number of students who chose lunch was 5 more than the number of students who chose breakfast. Let x represent the number of students who chose breakfast and y represent the number of students who chose lunch.
(50 students picked, 25 picked dinner the rest picked lunch and breakfast)
To find : Write a system of linear equations that represents the numbers of students who chose breakfast and lunch ?
Solution :
The number of students who chose breakfast be 'x'
The number of students who chose lunch be 'y'.
The number of students who chose lunch was 5 more than the number of students who chose breakfast.
i.e. 
Now, Total student were 50 and 25 picked dinner the rest picked lunch and breakfast i.e. 25.
So, 
Therefore, the system of linear equations are
and 
These are two problems that fit in that description 10+(-2) AND 15+(-7)
Answer:
AP = 14
Step-by-step explanation:
According to secant-secant theorem
(CP)(PD)=(BP)(AP)
7×12=6×AP
AP = 84/6
AP = 14