Answer:
8th term of geometric sequence is 312500
Step-by-step explanation:
Given : 
and common ratio (r) = 5
We have to find the 8th term of the geometric sequence whose and common ratio (r) = 5
Geometric sequence is a sequence of numbers in which next term is found by multiplying by a constant called the common ratio (r).
......(1)
where 
is nth term and a is first term.
For given sequence
a can be find using and r = 5
Substitute in (1) , we get,
Thus, 8th term of the sequence denoted as 
Substitute n= 8 in (1) , we get,
Thus 8th term of geometric sequence is 312500
Answer:
x = -1
Step-by-step explanation:
3(x+1) = -2(x-1) - 4
3x + 3 = -2x + 2 - 4
3x + 3 = -2x - 2
Add the -2x to both sides
5x + 3 = -2
Subtract the 3 to both sides
5x = -5
Divide both sides by 5
x = -1
Answer:
≈ 2,826 cm^3
Step-by-step explanation:
V = πr^2h
V = 3.14 · 10^2 · 9
V = 3.14 · 100 · 9
V = 314 · 9
V = 2,826
Dividing the number of tires that should be installed per day which is 400 by the number of working hours which is 8 will give us 50 tires per hour. Assuming that the same mistake will take toll on the workers such that they will have 1 tire mistakenly installed in an hour, they will have 8 erroneous tires in a day. Multiplying this by 5 to make the answer per week will give 40. Out of the 400 x 5 = 2000 tires. The answer would be 2000 - 40 which is equal to 1940. The assumption must be valid.
