CBSE Class 11-science Answered
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 | 04 Jun, 2014, 01:23: PM
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.
Answered by | 04 Jun, 2014, 03:23: PM
Concept Videos
CBSE 11-science - Maths
Asked by syedaliasad649 | 01 Oct, 2019, 07:07: PM
CBSE 11-science - Maths
Asked by lovemaan5500 | 02 Feb, 2019, 08:24: PM
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
CBSE 11-science - Maths
Asked by Topperlearning User | 15 May, 2014, 11:50: AM
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
CBSE 11-science - Maths
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 | 04 Jun, 2014, 01:23: PM
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
CBSE 11-science - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM