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Answer 1 · 2017-03-20T04:52:06

Given that the first term of the geometric sequence #a_1=-4096#

and the 4 th term of the geometric sequence #a_4=64#

Let the common ratio of the geometric sequence be # r#

So
#a_4=a_1r^3=64#

#=>(-4096)xxr^3=64#

#=>r^3=-64/4096=-1/64=(-1/4)^3#

#=>r=-1/4#

Hence the 7 th term will be

#a_7=a_1xxr^6=-4096xx(-1/4)^6=-4096/4096=-1#