An= mth term.
an=a₁+(n-1)*d
a₁₂=41
a₁₅=140
a₁₂=41
41=a₁+(12-1)*d
41=a₁+11d
a₁+11d=41 (1)
a₁₅=140
140=a₁+(15-1)*d
140=a₁+14d
a₁+14d=140 (2)
With the equiations (1) and (2) build a system of equations
a₁+11d=41
a₁+14d=140
we solve it.
-(a₁+11d=41)
a₁+14d=140
--------------------
3d=99 ⇒d=99/3=33
a₁+11d=41
a₁+(11*33)=41
a₁+363=41
a₁=41-363=-322
an=a₁+(n-1)*d
an=-322+(n-1)*33
an=-322+33n-33
an=-355+33n
an=-355+33n
To check:
a₁₂=-355+33*12=-355+396=41
a₁₅=-355+33*15=-355+495=140.
Check out -m-a-t-h-w-a-y-.-c-o-m- (This helps a lot!)
Answer:
Hey there!
y=3/4x shows that the y-value is always 3/4 of the x-value.
Thus, if x is 4, y is 3. It always fits the 4:3 ratio.
The ordered pairs that satisfy this equation are: 28:21 and 16:12
Let me know if this helps :)
Answer:
Temperature on Tuesday morning is
.
Step-by-step explanation:
Temperature is the measure in degrees how cold or hot a substance is. The three scale of measurements are: Celsius, Fahrenheit, and Kelvin.
In the given question, temperature on Monday morning is -14 degrees. Since it was given that the temperature on Tuesday morning is 4 degrees colder than that of Monday, then;
Temperature on Tuesday = -14 + (-4)
= -14 -4
= -18
Therefore, the temperature on Tuesday morning is
.