Answer is -7
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Work Shown:
s_n = a_1*(1-r^n)/(1-r)
s_6 = a_1*(1-r^6)/(1-r)
s_6 = x*(1-(-3)^6)/(1-(-3))
s_6 = x*(1-729)/(1+3)
s_6 = x*(-728)/4
s_6 = x*(-182)
s_6 = -182x
-182x = s_6
-182x = 1274
x = 1274/(-182)
x = -7 is the first term of the geometric sequence
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Extra info:
The first six terms of this geometric sequence is
-7, 21, -63, 189, -567, 1701
those six terms add to
-7+21+(-63)+189+(-567)+1701 = 1274
which verifies we have the right answer.
Base 8 representation of 30 =
the answer is 30
