The next two terms of the sequence are -28 and 4
Given the pattern;
9604, -1372, 196, ...
The sequence is in geometric progression. The nth term of a geometric progression is expressed as:
[tex]Tn = ar^{n-1}[/tex] where;
r is the common ratio
n is the number of terms
a is the first term
Given the following
a = 9604
n = 4(4th term)
r = 0.142857
T4 = 9604(-0.142857)³
T4 = 9604(-0.0029154)
T4 = -28
For the fifth term;
T5 = 9604(-0.142857)⁴
T5 = 9604(0.0004165)
T5 = 4
Hence the next two terms of the sequence are -28 and 4
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