n ∈ N then the statement 8 n + 16 ≤ 2 n is true for

n∈N then the statement 8n+16≤2n is true for
  1. n=2
  2. n=3
  3. n=6
  4. n=5

Solution

Given that, 8n+16≤2n

⇒23n+2≤2n

For n=6

23n+2=236+2=23·23=26

Hence, 8n+16≤2n is true for n=6.

Asked in: AP EAMCET 2021 (19 Aug Shift 1)

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