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Answer:
a = 256; r =
Step-by-step explanation:
The general form of the geometric sequence is:
a, ar, ar², ar³, . . .
where 'a' is the first term of the sequence;
'r' is the common difference.
Fourth term of the sequence = ar³ = 32
Sixth term of the sequence = ar⁵ = 8
Dividing both the equations, we get:
⇒ r² =
⇒ r =
Therefore, we get a = 32 X 8
a = 256
The first term of the sequence is 256 and the common difference is .
Hence, the answer.