Prove that there exists an integer n such that (a) n has exactly 1000 decimal digits, (b) The las...

Question

Question

Prove that there exists an integer n such that (a) n has exactly 1000 decimal digits, (b) The last 4 digits of n are 3121, an

math Advanced-Math

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

Pove hat thot tlee eaists a t for m ov tho Such that fnt me γ«Wivea@en kry on tfeS Rolt the last welfgrls of m are 3iap 31,, the, a lbo o o I vous the encial soutions of the above skere tis suitable cho

Add a comment

Answer 2

Similar Homework Help Questions

13. Prove that there exists an integer n such that (a) n has exactly 1000 decimal digits, (b) The...

for d only 13. Prove that there exists an integer n such that (a) n has exactly 1000 decimal digits, (b) The last 4 digits of n are 3121, and (c) 2019 | n, (d) 2121 I n. 13. Prove that there exists an integer n such that (a) n has exactly 1000 decimal digits, (b) The last 4 digits of n are 3121, and (c) 2019 | n, (d) 2121 I n.
13. Prove that there exists an integer n such that (a) n has exactly 1000 decimal digits, (b) The...

please be as descriptive as possible, thank you 13. Prove that there exists an integer n such that (a) n has exactly 1000 decimal digits, (b) The last 4 digits of n are 3121, and (c) 2019 n, (d) 2121 t n. 13. Prove that there exists an integer n such that (a) n has exactly 1000 decimal digits, (b) The last 4 digits of n are 3121, and (c) 2019 n, (d) 2121 t n.
Prove that there exists an integer n such that (a) n has exactly 1000 decimal digits, (b) The las...

Prove that there exists an integer n such that (a) n has exactly 1000 decimal digits, (b) The last 4 digits of n are 3121, and (c) 2019 | n, (d) 21211 n. Prove that there exists an integer n such that (a) n has exactly 1000 decimal digits, (b) The last 4 digits of n are 3121, and (c) 2019 | n, (d) 21211 n.

1. Let n be a positive integer with n > 1000. Prove that n is divisible...

1. Let n be a positive integer with n > 1000. Prove that n is divisible by 8 if and only if the integer formed by the last three digits of n is divisible by 8.
Definition of Even: An integer n ∈ Z is even if there exists an integer q...

Definition of Even: An integer n ∈ Z is even if there exists an integer q ∈ Z such that n = 2q. Definition of Odd: An integer n ∈ Z is odd if there exists an integer q ∈ Z such that n = 2q + 1. Use these definitions to prove only #5: 2. Prove that zero is even. 3. Prove that for every natural number n ∈ N, either n is even or n is odd. 4....
4. Show that any integer n 2 1 has a representation in the form with 'digits" d in the range di e...

4. Show that any integer n 2 1 has a representation in the form with 'digits" d in the range di e [0,1,.i. For example, 2019-11+21+4.4!+4.51+2.6! 4. Show that any integer n 2 1 has a representation in the form with 'digits" d in the range di e [0,1,.i. For example, 2019-11+21+4.4!+4.51+2.6!

Let G be a finite group, prove that for every a in G there exists a positive integer n such that ...

let G be a finite group, prove that for every a in G there exists a positive integer n such that an=e, the identity.
Exercise 3. [10 pts Let n 2 1 be an integer. Prove that there exists an...

Exercise 3. [10 pts Let n 2 1 be an integer. Prove that there exists an integer k 2 1 and a sequence of positive integers al , a2, . . . , ak such that ai+1 2 + ai for all i-1, 2, . . . , k-1 and The numbers Fo 0, F1 1, F2 1, F3 2 etc. are the Fibonacci numbers
Find how many positive integers with exactly four decimal digits, that is, positive integers between 1000 and 9999 inclusive, have the following properties: (a) are divisible by 5 and by 7

Find how many positive integers with exactly four decimal digits, that is, positive integers between 1000 and 9999 inclusive, have the following properties: (a) are divisible by 5 and by 7. (b) have distinct digits. (c) are not divisible by either 5 or 7.

Problem 1. Let A be an m x m matrix. (a) Prove by induction that if A is invertible, then for every n N, An is invertible. (b) Prove that if there exists n N such that An is invertible, then A is inv...

Problem 1. Let A be an m x m matrix. (a) Prove by induction that if A is invertible, then for every n N, An is invertible. (b) Prove that if there exists n N such that An is invertible, then A is invertible. (c) Let Ai, . . . , An be m x m matrices. Prove that if the product Ai … An is an invertible matrix, then Ak is invertible for each 1 < k< n. (d)...

Prove that there exists an integer n such that (a) n has exactly 1000 decimal digits, (b) The las...

Homework Answers

Add Answer to:
Prove that there exists an integer n such that (a) n has exactly 1000 decimal digits, (b) The las...

Post as a guest

Earn Coins

13. Prove that there exists an integer n such that (a) n has exactly 1000 decimal digits, (b) The...

13. Prove that there exists an integer n such that (a) n has exactly 1000 decimal digits, (b) The...

Prove that there exists an integer n such that (a) n has exactly 1000 decimal digits, (b) The las...

1. Let n be a positive integer with n > 1000. Prove that n is divisible...

Definition of Even: An integer n ∈ Z is even if there exists an integer q...

4. Show that any integer n 2 1 has a representation in the form with 'digits" d in the range di e...

Let G be a finite group, prove that for every a in G there exists a positive integer n such that ...

Exercise 3. [10 pts Let n 2 1 be an integer. Prove that there exists an...

Find how many positive integers with exactly four decimal digits, that is, positive integers between 1000 and 9999 inclusive, have the following properties: (a) are divisible by 5 and by 7

Problem 1. Let A be an m x m matrix. (a) Prove by induction that if A is invertible, then for every n N, An is invertible. (b) Prove that if there exists n N such that An is invertible, then A is inv...

Prove that there exists an integer n such that (a) n has exactly 1000 decimal digits, (b) The las...

Homework Answers

Add Answer to: Prove that there exists an integer n such that (a) n has exactly 1000 decimal digits, (b) The las...

Post as a guest

Earn Coins

Add Answer to:
Prove that there exists an integer n such that (a) n has exactly 1000 decimal digits, (b) The las...