Answer:
1 is 4
2 is 56
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
Answer:
y = 4 
Step-by-step explanation:
For an exponential function in standard form
y = a 
To find the values of a and b, use ordered pairs from the table
Using (0, 4 ), then
4 = a
( = 1 ), so
a = 4
y = 4
Using (1, 8 ), then
8 = 4
= 4b ( divide both sides by 4 )
2 = b
Thus
y = 4 ← exponential function
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.
Answer:
Look in the file, I've drew it there!
