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Statement-1 is false , Statement-2 is true Statement-1 is true , Statement-2 is true , Statement-2 is correct explanation for Statement-1 Statement-1 is true , Statement-2 is true , Statement-2 is not a correct explanation for Statement-1Statement-1 is true , Statement-2 is false

Solution :

Let `P(n)=n^(7) -n` <br> By mathematical induction for `n=1, P(1)=0` , which is divisible by 7 <br> for `n=k,P(k)=k^7-k` <br> Assume P(k) is divisible by 7 <br> `therefore k^7-k=7lambda, lambda in I` .......(i) <br> For `n=k+1`. <br> `P(k+1)=(k+1)^7-(k+1)=(.^7C_0k^7+.^7C_1k^6+.^7C_2k^5+.^7C_3k^4+......+.^7C_6k+.^7C_7)-(k+1)` <br> `=(k^7-k)+7(k^6+3k^5+...+k)` <br> `=7lambda+7(k^6+3k^5+....+k)=` Divisible by 7 <br> `therefore ` Statement -2 is true . <br> Also , let `F(n)=(n+1)^7-n^7-1` <br> `={(n+1)^7-(n+1)}-(n^7-n)` <br> =Divisible by 7 from Statement -2 <br> Hence , both statements are true and Statement-2 is correct explanation of Statement-1. Transcript

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00:00 - 00:59 | hello friends your question is treatment when is given as per is natural number and and Suzlon power 7 - 7 - 23 visible by 7 and statement to its natural number and and power 7 minus n is divisible by 7 first which at the statement to statement to display 107 is divisible by and power 7 - and according to Mathematical Induction is equal to and power 7 - 3 and 4 and is equal to 17 is equal to 1 minus 1 is equal to zero and 70 is equal to Romans it is divisible by 720 statement is |

01:00 - 01:59 | true now lectured at n is equal to and n is equal to 16 year 7 / M + M power 7 minus is equal to M 7 - That is equal to 777 is any constant term check at and is equal to M + 171 power 7 minus A + 1 and hear and + 1 power 7 minus A + 1 is equal to 7 cm 8 and 9 + 77 and 1 plus 7 c2m |

02:00 - 02:59 | 273 and three plus 737 M 7 minus and minus one and now from this is equal to 7 7 m plus 7 c2m plus UP 27 6 and 6s and 7 - and hair throughout 7 is common that it will be equal to 7 and + something I am care + 1 to get mk1 and this is 77 and care means it will be equal to |

03:00 - 03:59 | 7k to disturb technique Ketu now according to test free and is equal to 1 power 7 minus n is divisible by 7 chapter statement one statement one it is said that and plus one power 7 - and power 7 minus 1 is divisible by 7 it can also be returned and plus one power 7 - and + 1 - and power 7 - and from here oneplus one power power and minus and + 1 is divisible by 7 |

04:00 - 04:59 | so let me divisible by 77 Kidhar Kidhar season constant and equal to 7 and here from here 7 is common and Kailash - admin this statement is also true that it will be divisible by 7 from a h 21 and 2000 correct h Healthcare it is true that one is true statement to you sorry statement is correct statement one is true statement used to and statement to is the correct explanation for |

05:00 - 05:59 | payment but that's all I think you |