Question 1085363: 1) Find the explicit formula that produces the given sequence. 2,-6,18,-54,...
A. an=2(-3)^n-1
B. an=-2(-3)^n-1
C. an=3(-2)^n
D. an=-3(-2)^n-1
2) For the missing term in the geometric sequence, find the possible values: 16,?, 1/9,...
A. ± 4/3
B. ± 1/3
C. ± 145/18
D. ± 2/3
3. What is the 22nd term in the arithmetic sequence in which a4 is 73 and a10 is -11?
4) Write a possible function rule for the following sequence. -26,-33,-40,-47,54,...
5) Find the 12th term of the Fibonacci sequence: 1,1,2,3,5,8,13,...
6) Use the explicit formula an=(-1)^n(13n-6), to find the first five terms of the sequence.
7) What is the 9th term in the geometric sequence in which a3 is 36 and a6 is 972?
8) Find the first five terms of the sequence given the following recursive formula: a1=-3, a2=-7, and an=an-2an-1 for n_> 3.
9) Find the next two terms of the following sequence: 14,38,74,122,182,254,...
10) What is the 17th term in the arithmetic sequence in which a6 is 101 and a9 is 83?
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website! The first needs an exponent of n-1 to make the 3^(n-1)=3^0 or 1 and the product 2*1=2. Even numbered terms will have odd-numbered exponents which will make even numbered terms negative. Of the possibilities a and b, b would make the first term negative, so it has to be (a)
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16 to 1/9 in two terms suggests 4^2 to 1/3^2
The intermediate term might be 4/3
16*(1/12)=4/3
4/3*(1/12)=1/9
+/-4/3 is the answer, since the second term could be positive or negative and this series be what it is.
(a)
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a4=a1+3d
a10=a1+9d
The difference between the two is -84, which is 6d, so d=-84/6=-14
a22=a10+12d or a10-168 or -11-168=-179
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a1+(n-1)d, and d is -7
an=-26-7n from n=0 to 5, NOTE: I will assume the fifth term is -54, not 54
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