Maharashtra State BoardHSC Science (Electronics) 11th
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Answer the following: Simplify: i238+i236+i234+i232+i230i228+i226+i224+i222+i220 - Mathematics and Statistics

Sum

Answer the following:

Simplify: `("i"^238 + "i"^236 + "i"^234 + "i"^232 + "i"^230)/("i"^228 + "i"^226 + "i"^224 + "i"^222 + "i"^220)`

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Solution

`("i"^238 + "i"^236 + "i"^234 + "i"^232 + "i"^230)/("i"^228 + "i"^226 + "i"^224 + "i"^222 + "i"^220)`

= `("i"^230 ("i"^8 + "i"^6 + "i"^4 + "i"^2 + 1))/("i"^220("i"^8 + "i"^6 + "i"^4 + "i"^2 + 1))`

= i10 

= (i2)5

= (– 1)5

= – 1.

  Is there an error in this question or solution?
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APPEARS IN

Balbharati Mathematics and Statistics 2 (Arts and Science) 11th Standard Maharashtra State Board
Chapter 1 Complex Numbers
Miscellaneous Exercise 1 | Q II. (16) (iii) | Page 22
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