If x=(-1)' + (-1)2 + ...... + (-1)2009 and y=(-1)' -(-1) + (-1)-(-1)*

1.	If x=(-1)' + (-1)2 + ...... + (-1)2009 and y=(-1)' -(-1) + (-1)-(-1)* + ... + (-1)2009, then find x - y.(A) 2009 (B) 2008 (C)0 (D) 1004
Answer» Given : x = (-1)¹ + (-1)² + (-1)³ + . + . + . + . + (-1)²⁰⁰⁹ y = (-1)¹ - (-1)² + (-1)³ + . - . + . - . + (-1)²⁰⁰⁹ To FIND : x - y (A) 2009 (B) 2008 (C)0 (D) 1004 Solution: x = (-1)¹ + (-1)² + (-1)³ + . + . + . + . + (-1)²⁰⁰⁹ => x = - 1 + 1 - 1 + 1 + . + . + . + . - 1 => x = - 1 y = (-1)¹ - (-1)² + (-1)³ + . - . + . - . + (-1)²⁰⁰⁹ => y = - 1 - 1 - 1 - 1 - . - - . - - 1 => y = - 2009 x - y = - 1 - (-2009) = - 1 + 2009 = 2008 Learn More: find x - y. brainly.in/question/26666511

If x=(-1)' + (-1)2 + ...... + (-1)2009 and y=(-1)' -(-1) + (-1)-(-1)* + ... + (-1)2009, then find x - y.(A) 2009 (B) 2008 (C)0 (D) 1004

Answer»

Given : x = (-1)¹ + (-1)² + (-1)³ + . + . + . + . + (-1)²⁰⁰⁹

y = (-1)¹ - (-1)² + (-1)³ + . - . + . - . + (-1)²⁰⁰⁹

To FIND : x - y

(A) 2009 (B) 2008 (C)0 (D) 1004

Solution:

x = (-1)¹ + (-1)² + (-1)³ + . + . + . + . + (-1)²⁰⁰⁹

=> x = - 1 + 1 - 1 + 1 + . + . + . + . - 1

=> x = - 1

y = (-1)¹ - (-1)² + (-1)³ + . - . + . - . + (-1)²⁰⁰⁹

=> y = - 1 - 1 - 1 - 1 - . - - . - - 1

=> y = - 2009

x - y

= - 1 - (-2009)

= - 1 + 2009

= 2008

Learn More:

find x - y.

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If x=(-1)' + (-1)2 + ...... + (-1)2009 and y=(-1)' -(-1) + (-1)-(-1)* + ... + (-1)2009, then find x - y.(A) 2009 (B) 2008 (C)0 (D) 1004​

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If x=(-1)' + (-1)2 + ...... + (-1)2009 and y=(-1)' -(-1) + (-1)-(-1)* + ... + (-1)2009, then find x - y.(A) 2009 (B) 2008 (C)0 (D) 1004