find the values of p(1/2),p(-3/5),p(-1.5),p(0.02),p(0) in p(n)=2n2-3n+1
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P(n):2
n+2
<3
n
Let n=1P(1):2
3
<3
1
i.e. P(1)=8<3 false
Let n=2P(2):2
4
<3
2
i.e. P(2)=16<9 false
Let n=3P(3):2
5
<3
3
or P(3)=32<27, false
Let n=4
∴P(4):2
6
<3
4
or P(4)=64<81 which is true.
P(n):2
n+2
<3
n
is true for ∀n>3,nϵN
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