How to find the x intercept of 3y=2x-6: (when y is 0)
3(0) = 2x - 6
0 = 2x - 6
+6 + 6
-------------------------
6 = 2x
------ -----
2 2
x = 3
How to find the y intercept of 3y=2x-6: (when x is 0)
3y = 2(0) - 6
y = 0 - 6
3y = -6
------ -----
3 3
y = -2
A rational number that is not an integer can be expressed in decimal form with a non-zero digit after the decimal
Check the forward differences of the sequence.
If
, then let
be the sequence of first-order differences of
. That is, for n ≥ 1,

so that
.
Let
be the sequence of differences of
,

and we see that this is a constant sequence,
. In other words,
is an arithmetic sequence with common difference between terms of 2. That is,

and we can solve for
in terms of
:



and so on down to

We solve for
in the same way.

Then



and so on down to


Answer:
± 60
Step-by-step explanation:
aₙ = a₁ * rⁿ⁻¹
a₇ = 30 = a₁ * r⁷⁻¹ = a₁ * r⁶ (1)
a₅ = 120 = a₁ * r⁵⁻¹ = a₁ * r⁴ (2)
(1)/(2): 30/120 = 1/4 = r²
r = ± 1/2 or ± 0.5
a₁ = a₇/r⁶ = 30/0.5⁶ = 1920
a₆ = 1920 * (± 1/2)⁶⁻¹ = 1920 * ± 1/32 = ± 60
I am pretty sure -44 what you have up there is correct.