The general combinatorial formula for the nth triangular number (1, 3, 6, 10, 15, 21, .) is On+1Cn OntiC2 O 2n Cn On+iCn-2

Q: 15) n(n*+5) is divisible by for each integer

A:

Q: 05-164 CCSS IP Math Teacher Resource 542 Name: UNIT 5 SIMILARITY, RIGHT TRIANGLE TRIGONOMETRY,…

A: solution:-

Q: Find a formula for 1/2+1/4+1/8+.+ 1/2h by examining the values of this expression for small values…

A:

Q: show that n(n^2-1)(n+2) is divisible by 4 for all integers n

A: To show that n(n^2-1)(n+2) is divisible by 4 for all integers n

Q: Find integers ? and ? such that 3220? + 6006? = gcd(3220,6006).

A: Remark: The greatest common divisor (gcd) of two integers is the greatest integer that divides both…

Q: + 2?R eraluate l F x di Where is me cuwe pron G0,0) ho Q,2,)

A:

Q: c. A = ; ==G 4 4 3 -2 3 2

A: Given A=242131B=-1111-2-1C=242131D=1-1-1-121 Clearly  C=AD=-B

Q: 10. Find the sum of the coefficients of (2x– 3)°. c. -6560 d. -5120 а. -5660 b. -6780

A:

Q: Show that 2 + V5 is imational number

A:

Q: let a = 3^4 7^3 11^2 13^5 and b = 2^6 5^2 7^2 11^3 13^4 Determine the values of (a,b) and [a,b] and…

A:

Q: A "Pythagorean Triple" is a set of positive integers, a, b and c that fits the rule: a2+ b2= c2.…

A:

Q: Find a formula for the general term a, {5, 8, 11, 14, 17, .} 5n + 3 On+3 O 3n + 2 O 2n + 3

A: We can answer the question as below

Q: SHOW THAT 3^2N - 1 IS DIVISIBLE BY 8 FOR ALL POSITIVE INTEGERS.

A: We prove this by induction.

Q: Suppose that a and b are integers, c b = 3 (mod 19). Find the integer c that a) с%3D 13а (mod 19).…

A:

Q: Show that a6-1 is divisible by 168 whenever (a, 42)=1.

A:

Q: 5. Choose the best answer. Sammi plans on selling Christmas tree ornaments. She figured a profit of…

A:

Q: Find the 66th term of the triangular numbers {1, 3, 6, …}.

A:

Q: Which of the following would represent an odd number? (A) 2x (B) 3x (C) 2x +2 (D) 2x + 1 O A В…

A:

Q: Show that 42n -1 is divisible by 5 for n>0

A:

Q: The operation * is defined over the set of real numbers "R" by a * b = a + b + 1/2ab. What is 6 * (2…

A: Given that the relation defined on real number R as a*b=a+b+12abTo find 6*(2*5)?