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Answer :
Final answer:
In a geometric sequence given with terms 8 and 128, we first find the common ratio by dividing 128 by 8, which is 16. Then, to find the following term after 128, we multiply 128 by the common ratio (16), resulting in 2048.
Explanation:
The question asks to find the term that follows 128 in a geometric sequence, where the known terms are 8 and 128. In a geometric sequence, every term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. We can find the common ratio by dividing a term by its preceding term. So, dividing 128 by 8 gives us a common ratio of 16.
To find the term that follows 128, we multiply 128 by the common ratio of 16.
Calculation: 128 * 16 = 2048.
Therefore, the term that follows 128 in this geometric sequence is 2048.
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