What is the general term equation, an, for the arithmetic sequence 5, 1, −3, −7, . . . , and what is the 21st term of this seque
nce?
Hint: an = a1 + d(n − 1), where a1 is the first term and d is the common difference.
an = 17 − 4n, a21 = −67
an = 17 + 4n, a21 = 101
an = 13 − 4n, a21 = −71
an = 9 − 4n, a21 = −75
1 answer:
The common difference, d, can be determined by subtracting the two consecutive values:
1 - 5 = -4
-3 - 1 = -4
-7 - -3 = -4
Then, using the equation:
an = a1+ d(n-1)
a_21 = 5 + (-4)(21 - 1)
a_21 = -75
The answer is letter D. I hope I was able to help you. Have a good day!
You might be interested in
1. 4 1/5
2. 11/24
3. 12 1/4
4. 2
5. 3 5/12
I did the math but I’m sorry if it’s not all correct
1.46 is what google is saying just convert that to a fraction
(x-5)(x+7).
explanation:
(x-5)(x+7)=0
<=> x-5=0 or x+7=p
<=> x=5 or x=-7
Step-by-step explanation:
1. vertical angles. x = 5
2. supplementary x = 12
3. complementary x = 7
4 Supplementary x = 17
5. sQR = 118
RQT = 62
6 LNK = 47, JNM = 47
Answer:
80 liters
Step-by-step explanation:
24 liters is the difference between 2/5 full and 1/5 full.
Let x = number of liters in full tank.
2/5 x - 1/10 x = 24
4/10 x - 1/10 x = 24
3/10 x = 24
1/10 x = 8
x = 80
Answer: 80 liters