If P(n) is the statement 72n + 23n - 3.3n - 1 is divisible by 25 for all n 
N, then what is P(k + 1)?
Asked by Topperlearning User
| 4th Jun, 2014,
01:23: PM
Expert Answer:
We note that P(n) is true for n=1,since 72 +1=50 ,which is divisible by 25.
Assume that P(k) is true i.e 
+
=25d,when d
We will prove P(k+1) is true whenever P(k)is true.
P(k+1)=
+
=72[+ -]+
=
[25d-]+
=x25d + 50x
=25(
+2x)
=25r
the expression is divisible by 25.
Thus,P(k+1) is true whenever P(k) is true.
+=25d,when d++ -]+[25d-]+x25d + 50x+2x)
Answered by
| 4th Jun, 2014,
03:23: PM
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