Geometric Sequence?
A) 367
B) 567
C) 2209
D) 45927
E) 165274
2) The first term in a certain geometric sequence is x and the fourth term in the sequence is 27x, where x is a nonzero number. Which of the following represents the tenth term?
A) 26x
B) 27
C) 154x
D) 4327x
E) 19683x
THANK YOU IN ADVANCE =)
Favorite Answer
Well, without the second term, this sequence is a challenge, however, in my best guess, i would have to say the equation for the geometric sequence in question 1 is:
x = 7 * 3^(n-1)
where x is a value in the sequence, and n is the number of term of the sequence where the 1st term = 1, the 2nd term =2, and so on.
so for the 9th term
x = 7 * 3^(n-1)
x = 7 * 3^(9-1)
x = 7 * 3^(8)
x = 7 * 6561
x = 45927
Therefore, the answer is D) 45927
Question 2.
Similarily, without other terms, the equation for the sequence is tricky but I believe it is:
y = x * 3^(n-1)
where y is a value in the geometric sequence, x is a nonzero number, and n is the number term in the sequence, just like in Question 1.
so for the 10th term
y = x * 3^(10-1)
y = x * 3^(9)
y = x * 19683
y = 19683x
therefore the answer is E) 19683x
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