Answer:
The explicit formula is Tn = 34 + 3n
Step-by-step explanation:
The nth term of an arithmetic sequence can be represented using the formula
Tn = a + (n-1)d
where a is the first term , n is the number of terms and d is the common difference
For the 12 term(a12), n = 12
70 = a + (12-1)d
70 = a + 11d •••••••(i)
For the 30th term, n = 30
124 = a + (30-1)d
124 = a + 29d •••••••(ii)
Now, directly subtract equation i from ii, we have;
124-70 = (a-a) + (29d-11d)
54 = 18d
d = 54/18
d = 3
To get a , we substitute the value of d in any of the equations
let’s use the first
70 = a + 11d
substituting d = 3
70 = a + 11(3)
70 = a + 33
a = 70-33
a = 37
Thus the explicit formula for the nth term will be
Tn = a + (n-1)d
where a = 37 and d = 3
Tn = 37 + (n-1)3
Tn = 37 + 3n -3
Tn = 34 + 3n
Answer:14
Step-by-step explanation:
Please be certain to use " ^ " to denote exponentiation:
3x^2 + 4x – 5, 7x^2 + x + 9, 4x^2 - 3x
First, perform this subtraction:
7x2 + x + 9
-(3x2 + 4x – 5)
-----------------------
4x^2 - 3x + 14
Next, subtract 4x^2 - 3x from the above result:
4x^2 - 3x + 14
-(4x^2 - 3x)
------------------------
14 (answer)
Answer:
Ill help you if you come help me with mine c:
Step-by-step explanation:
here is mine:
The values of f(x) and g(x) are shown for selected values of x in the table below.
x f(x) g(x)
0 0 1
1 3 2
2 6 4
3 9 8
4 12 16
Of these two functions, one is exponential and the other is linear. Determine which of the functions is linear, and explain why this must be the case.
Answer:
Your speed is 135 miles per hour.
Step-by-step explanation:
Mark me brainliest if I helped:D
