Question

(-1)¹+(-1)²+(-1)³+(-1)⁴+...........+(-1)¹⁰⁰

Answer 1

Step-by-step explanation:

-1+1 -1+1+...+1

pair them, sum of each pair = 0

there 50 pairs

I.e. 0+0+0+....50 times = 0×50 = 0

Answer 2

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Answer

The power of 1 has the same value of 1,

• So,

(-1)+1(-1)+1....+1

Pair them,$um of €ach pair = 0

• There are 50 pairs
• i.e.,

0+0+0+....50 times

= 0 × 50

= 0