Mathematics
The value of (-1)0 - (-1)1 - (-1)2 - (-1)3 - …. - (-1)10 is:
0
1
-1
11
Indices
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Answer
Given,
(-1)0 - (-1)1 - (-1)2 - (-1)3 - (-1)4 - (-1)5 - (-1)6 - (-1)7 - (-1)8 - (-1)9 - (-1)10
A negative number raised to an even power gives a positive result, also a real number raised to power 0 results in 1.
A negative number raised to an odd power gives a negative result.
Now simplifying:
⇒ 1 - (-1) - (1) - (-1) - (1) - (-1) - (1) - (-1) - (1) - (-1) - (1)
⇒ 1 + 1 - 1 + 1 - 1 + 1 - 1 + 1 - 1 + 1 - 1
⇒ 1.
Hence, option 2 is the correct option.
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