A geometric series is the collection of an unlimited number of terms with a fixed ratio between them. The next term of the given series is -3.
What is geometrical series?
A geometric series is the collection of an unlimited number of terms with a fixed ratio between them.
The given series of numbers if closely watched is a geometric progression, this is because the common ratio of any two consecutive terms in the series is the same.
Common ratio = -24 / -48 = 1/2
Now, the next term of the series can be found by multiplying the common ratio in the last term of the series. Therefore, the next term of the series is,
Next term = -6×(1/2) = -3
Hence, the next term of the given series is -3.
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