Evaluate
( 16 × 2^n+1 -4 × 2^n ) /
(16 × 2^n+2 -2 × 2^n+2)
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Answer:
this is the answer to the evaluation
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RishiSrivastava1:
no wrong answer right answer is 1/2
Answered by
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Answer:
Hello Mate!
Question = [ 16 × 2^( n + 1 ) - 4 × 2^n ]/[ 16 × 2^( n + 2 ) - 2 × 2^( n + 2 ) ]
Numerator
= 16 × 2^( n + 1 ) - 4 × 2^n
= 16 × 2^n × 2¹ - 4 × 2^n
= 2^n( 16 × 2 - 4 )
= 2^n( 32 - 4 )
= 2^n( 28 )
Denominator
= 16 × 2^( n + 2 ) - 2 × 2^( n + 2 )
= 16 × 2^n × 2² - 2 × 2^n × 2²
= 2^n( 16 × 4 - 2 × 4 )
= 2^n( 64 - 8 )
= 2^n( 56 )
Now, fraction = 2^n( 28 ) / 2^n( 56 )
= 1 / 2
Hence answer is ½.
Have great future ahead! : )
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