Terms of a geometric sequence can not be equal to: *
3
2
1
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Answers
Terms of a geometric sequence can not be equal to ZERO (0)
Explanation:
geometric sequence :
Geometric sequence is a sequence of numbers in which the ratio between consecutive terms is constant and called the common ratio.
a , ar , ar² , ar³ ______
if any of term is zero
then either a = 0 or r = 0
and all terms will be zero
and ratio between two consecutive terms will be 0/0 which is not defined
Hence Terms of a geometric sequence can not be equal to ZERO (0)
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Step-by-step explanation:
a geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. For example, the sequence 2, 6, 18, 54, ... is a geometric progression with common ratio 3. Similarly 10, 5, 2.5, 1.25, ... is a geometric sequence with common ratio 1/2.