samreeti
According to condition p is related to any natural number therefore let n=1 then 3 raised to power 4- 2 raised to power 4 3×3×3×3-2×2×2×2 81-16=65 65is divided by 5 and 13 =13 ,5 resectively
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MridulAhi1234
If n becomes 2 or 3 or 4, answer may vary if we use this method
Answers & Comments
p is related to any natural number
therefore let n=1
then 3 raised to power 4- 2 raised to power 4
3×3×3×3-2×2×2×2
81-16=65
65is divided by 5 and 13 =13 ,5 resectively
Let n = 1.
Given p € N
So, p=1
3⁴×¹ - 2 ⁴×¹
= 3⁴ -2⁴
= 81 - 16
=6 5
Factors of 65 = 5×13
so, 3^4n -2^4n is always divisible by 13 and 5 .
Hence correct option is D - Both B and C.