Answer:
102
Step-by-step explanation:
because 9×14 equals 102
Answer:
Step-by-step explanation:
So generally a geometric sequence can be defined as: 
which is the explicit form. The r, is what each previous term is being multiplied by to get the next value which is evident in the recursive form: 
. Knowing this we can take two values which are "next" to each other to find what r is. In this case I'll just is 1 and 1/4, given these two values we know that: 
, 1*r is just r... so what each term is being multiplied by is 1/4. So let's plug the values into the explicit formula: 
(I didn't put an a_1 value in front, since it's just 1... so it's a bit redundant). Anyways using this formula we simply plug in 5 as n into the equation to find the 5th term: 
Step-by-step explanation:
v=l×b×h
300cm²=4×3x×x
300÷12=x²
x=5
3x=3×5=15
a=15×5
Answer:
(5, - 6 )
Step-by-step explanation:
Given the 2 equations
- 8x - 10y = 20 → (1)
- 8x - 6y = - 4 → (2)
Multiply (2) by - 1
8x + 6y = 4 → (3)
Add (1) and (3) term by term to eliminate the x- term, that is
- 4y = 24 ( divide both sides by - 4 )
y = - 6
Substitute y = - 6 into either of the 2 equations and solve for x
Substituting into (1)
- 8x - 10(- 6) = 20
- 8x + 60 = 20 ( subtract 60 from both sides )
- 8x = - 40 ( divide both sides by - 8 )
x = 5
solution is (5, - 6 )
