answer :
-2
steps
1. divide the second number by the first or
-8÷4 = -2
then
2. divide the third number by the second or
16÷-8 = -2
then
3. divide the fourth number by the third or
-32÷16 = -2
then
4. divide the third number by the second or
64÷-32 = -2
all the answers are -2
another way :
a(1) = 4
a(n) = -2 * a(n-1)
In this sequence, the first term (a(1)) is 4, and each subsequent term is obtained by multiplying the previous term
a(1) = 4
a(2) = -2 * a(1) = -2 * 4 = -8
a(3) = -2 * a(2) = -2 * (-8) = 16
a(4) = -2 * a(3) = -2 * 16 = -32
a(5) = -2 * a(4) = -2 * (-32) = 64
So, the terms of the geometric sequence, expressed recursively, are 4, -8, 16, -32, 64. Each term is obtained by multiplying the previous term by -2.
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