Answer:
Tn = 64-4n
Step-by-step explanation:
The nth term of an AP is expressed as:
Tn = a+(n-1)d
a is the common difference
n is the number of terms
d is the common difference
Given the 6th term a6 = 40
T6 = a+(6-1)d
T6 = a+5d
40 = a+5d ... (1)
Given the 20th term a20 = -16
T20 = a+(20-1)d
T20 = a+19d
-16 = a+19d... (2)
Solving both equation simultaneously
40 = a+5d
-16 = a+19d
Subtracting both equation
40-(-16) = 5d-19d
56 = -14d
d = 56/-14
d = -4
Substituting d = -4 into equation
a+5d = 40
a+5(-4) = 40
a-20 = 40
a = 20+40
a = 60
Given a = 60, d = -4, to get the nth term of the sequence:
Tn = a+(n-1)d
Tn = 60+(n-1)(-4)
Tn = 60+(-4n+4)
Tn = 60-4n+4
Tn = 64-4n
Answer:
1entire group
2part
3particular condition
4random and large enough
5range of the middle half
6
7
8
9 average
10middle of a sorted list
11which appears more often
12 the lowest and highest
13mirrors
14
15
Step-by-step explanation:
Im not sure about the rest
Answer:
im pretty sure B 7.5 units
Step-by-step explanation:
Remember to follow PEMDAS, and to only combine terms with like variables.
First, distribute the 2 to all terms within the parenthesis:
2(2p + 4t) = 2(2p) + 2(4t) = 4p + 8t
3 + 4p + 8t, or (D), is your answer choice, for it cannot be simplified anymore.
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P=12/3
Explanation: P is the variable and to find how many we can buy with 12 dollars we divide 12 by 3 which is the price.
