MATHS

posted by .

The sequence {ak}112,k=1 satisfies a1=1 and an=1337+n/an−1, for all positive integers n. Let
S=⌊a10a13+a11a14+a12a15+⋯+a109a112⌋.
Find the remainder when S is divided by 1000.

• MATHS -

849

• MATHS -

Similar Questions

1. Algebra 2

Need help on the #13-20. 13. What is the quotient of d − 2 ) d 4 − 6d 3 + d + 17 __________________ ?
2. Math

How many integers bewteen 200 and 500 inclusive leave a remainder 1 when divided by 7 and a remainder 3 when divided by 4?
3. Math

How many integers between 200 and 500 inclusive leave a remainder 1 when divided by 7 and a remainder 3 when divided by 4?
4. Combinations Maths

For how many positive integers n are there exactly ⌊n/2⌋ or ⌈n/2⌉ primes less than or equal to n?

The sequence {ak}112 (base)k=1 satisfies a1=1 and an=1337+n/an−1, for all positive integers n. Let S=⌊a10a13+a11a14+a12a15+⋯+a109a112⌋. Find the remainder when S is divided by 1000. Details and assumptions The …
6. maths

A subset S of {1,2,…,n} is said to be packed if whenever i,j∈S the number ⌊(i+j)/2⌋ is also in S. Determine how many subsets of {1,2,…,25} are packed. Details and assumptions i and j need not be distinct. If i=j …
7. heeeeeelp math

A subset S of {1,2,…,n} is said to be packed if whenever i,j∈S the number ⌊(i+j)/2⌋ is also in S. Determine how many subsets of {1,2,…,25} are packed. Details and assumptions i and j need not be distinct. If i=j …
8. heeeeeeeeelp math

A subset S of {1,2,…,n} is said to be packed if whenever i,j∈S the number ⌊(i+j)/2⌋ is also in S. Determine how many subsets of {1,2,…,25} are packed. Details and assumptions i and j need not be distinct. If i=j …
9. Math (number theory)

For how many positive integers N is ⌊N^2/5⌋(floor of N^2/5) a prime?
10. Algebra

How many positive integers are there such that ⌊√x⌋=10?

More Similar Questions

Post a New Question