The following system of equation is given: -7x+7y=7\newline 2x-2y=-18−7x+7y=7
1 answer:
The given system of equation has no solution.
<h3>What is a System of Equation ?</h3>The set of equation that have common solution is called the system of equation
The equation given are
- 7x + 7y = 7
2x - 2y = -18
On simplifying the equations
- x + y = 1
x - y = -9
On adding these equations there is no solution
as
The given system of equation has no solution.
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The correct answer is C) t₁ = 375, 
.
From the general form,
, we must work backward to find t₁.
The general form is derived from the explicit form, which is
. We can see that r = 5; 5 has the exponent, so that is what is multiplied by every time. This gives us
Using the products of exponents, we can "split up" the exponent:
We know that 5⁻¹ = 1/5, so this gives us
Comparing this to our general form, we see that
Multiplying by 5 on both sides, we get that
t₁ = 75*5 = 375
The recursive formula for a geometric sequence is given by
, while we must state what t₁ is; this gives us
From the general form,
The general form is derived from the explicit form, which is
Using the products of exponents, we can "split up" the exponent:
We know that 5⁻¹ = 1/5, so this gives us
Comparing this to our general form, we see that
Multiplying by 5 on both sides, we get that
t₁ = 75*5 = 375
The recursive formula for a geometric sequence is given by