The next term of the geometric sequence 32,16,8 is 4.
First term = 32
Second term = 16
Third term = 8
Fourth term = Unknown
The common ratio will be:
= Second term / First term
= 16 / 32
= 1/2
Based on the information given, we can see that the numbers are multiplied by 1/2 to get the next value.
The fourth term of the geometric progression will be:
= ar³
= 32 × (1/2)³
= 32 × 1/8
= 4
Therefore, the next term of the geometric sequence 32,16,8 will be 4.
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