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What is the next term after  in the geometric sequence 9, −3, 1, 
  • a)
  • b)
    0
  • c)
    1/9
  • d)
    1/6
  • e)
    1/3
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
What is the next term afterin the geometric sequence 9, −3, 1,a)...
To find the next term in the geometric sequence, recall that when looking at a geometric sequence, the nth term can be written (for some base number b)as bn. This sequence is decreasing in magnitude, thus the absolute value of b is less than 1. It also alternates signs, which indicates that b is negative. At this point, mathematical intuition might suggest trying b = , and then calculating for what value of n the terms in the given sequence correspond (see table).
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What is the next term afterin the geometric sequence 9, −3, 1,a)b)0c)1/9d)1/6e)1/3Correct answer is option 'C'. Can you explain this answer?
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