The 10the term of the sequence -1/1, -1/2, -1/9, -1/64....is -1/1,000,000,000
-1/1, -1/2, -1/9, -1/64
This can be written as;
-1/1° , -1/2¹, -1/3², -1/4³, -1/5⁴, -1/6^5, -1/7^6, - 1/8^7, -1/9^8, -1/10^9
So,
First term = -1/1,
Second term = -1/2,
Third term = -1/9,
Fourth term = -1/64,
Fifth term = -1/625,
Sixth term = -1/7,776,
Seventh term = -1/117,649,
Eighth term = -1/2,097,152,
Ninth term = -1 / 43,046,721,
Tenth term = -1/1,000,000,000
Therefore, the 10th term is -1/1,000,000,000
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