find a simple recursive definition of the sequance with general term tn=2(n-1)+7 for n>2

Q: If n be positive integer, show that the algebraic sum of the numerical coefficients in the expansion…

A: As given above that n be a positive integer. And the given expression is: 3x-2yn We have to prove…

Q: Determine the first four terms in the binomial expansion of (-3-2x¹).

A: Here we have to open the binomial expansion.

Q: What is the sum in sigma notation of this: 8x + 8x2 + 8x3 + ..... + 8xn Thank you.

A: Given that  geometric series ,S = 8x+8x2+8x3+.......8xnS= 8(x+x2+x3+.....xn)

Q: For math, I'm currently learning about recursion algorithm and I'm confused about doing the…

A:

Q: Suppose you draw n lines in the plane so that every pair of lines cross (no lines are parallel) and…

A: Let n be the number of non parallel lines. Given that number of regions= Rn Let Un represent maximum…

Q: What is a disadvantage of defining a sequence recursively?

A: The Disadvantage of defining a sequence recursively as In general, recursive functions are slower…

Q: in an arithmetic progession the 17th term is 3 times the 6th term. if the 11th term is 63, what is…

A: nth term of the arithmetic progression is an=a+(n-1)d where a is the first term and d is the common…

Q: Briefly explain the differences between ‘mathematical induction’ and ‘strong induction’.

A: Remark:  Mathematical Induction: Let P(n) be a statement defined for all integer n. Then suppose the…

Q: For: 25, 23, 21, 19, 17, .. Find RECURSIVELY An

A:

Q: Use binomial theorem to expand (2+X)5 in ascending powers of x up to the terms containing x3  and…

A:

Q: Starting with any rectangle, we can create a new and larger rectangle by attaching a square to the…

A: A sequence of the form a, a+d, a+2d, . . . , a+(n-1)d, a+nd, . . . is called an arithmetic sequence.…

Q: 24 and an -Tan-1 tinc the explicie tormula for the recursive seguence seque

A: Recursive Sequence: an = 7an-1 and a1=4

Q: Give a combinatorial interpretation of the coefficientof x6 in the expansion (1 + x + x2 + x3 +⋯)3.…

A: According to the given information, it is required to give a combinatorial interpretation of the…

Q: Compute 7 -de using the techniques as presented in class and in our textbook. Show all the (4-x²)*…

A:

Q: In the expansion of (3x + 2y) °, the term 90, 72028 yl2 is the 4th term 5th term O 7th term O 6th…

A:

Q: Find the term indicated in the expansion .

A:

Q: If 6th  term of GP is 9375 and its 4th term is 375.Find its 9th term

A:

Q: Show the function f1(x) is primitive recursive. f1(x) returns n if factorial(n) = x but returns 0 if…

A:

Q: What does it mean for a sequence to be defined recursively?

A: A recursive sequence fnnadditionally known as a recurrence sequence is a sequence of numbers f(n)…

Q: What is the fourth term of the expansion Of (x + x100-

A:

Q: Determine the formula and (largest) domain for the following expression and then prove it using…

A:

Q: A ternary string is a sequence of 0's, 1's and 2's. Just like a bit string, but with three symbols.…

A:

Q: The sequence 8, 32, 128, 512, … represents the number of sit-ups Billy did during each workout…

A: Given, 8,32,128,512... Recursive rule means using previous number to get the next sequence number.…

Q: Expand and simplify using Binomial Theorem : ( 2a / 5 - 10b)^4

A: Given:  ( 2a / 5 - 10b)^4 Expand and simplify

Q: I have to identify the recursive and explicit rule. I need to select two

A: Answer: Option F f(n)=f(n-1) . r Option A f(n)=3. 4n-1

Q: what are the first three terms in the binamial, expansion of (2a-0,5b) 1.

A: Given

Q: Write the fourth term of the following recursive sequence: az= 16 an= 4an-1+7 Show your work for…

A:

Q: Explain recursion relation.

A: A recurrence relation is an equation that recursively defines a sequence where the next term is a…

Q: The sequence is defined using recursion formulas. Write the first four terms of the sequence.a1 = 2…

A: a1=2 , an=5an-1

Q: Give a recursive definition of Binomial coefficient () in terms of (") (we assume n2 k). Do not…

A: The objective is to give the recursive definition of Binomial coefficient  n+1k+1 in terms of…

Q: Find the recursive and explicit rule for -1, 3, 7, 11,... Recursive rule

A: This is a problem of series . Based on concepts and formulas we will answer the question.

Q: Create your own sequence with recursive formula.

A:

Q: Find the middle term in the binomial expansion of(x-3)".

A:

Q: In two or more complete sentences, explain how to find the third term of the expansion of (2x+y)4.

A:

Q: Find the recursion for a population that doubles in size every unit of time and that has 14…

A:

Q: Find the 3rd term in the expansion of (x- 1)^5 in simplest form.

A: Given that we need to find the third term in the expansion of ( x - 1)5.

Q: What is a homogeneous linear recursion of degree k? What is an auxiliary equation of this recursion?…

A: a) What is a homogeneous linear recursion of degree k? b) What is an auxiliary equation of this…

Q: combinatorial proof

A:

Q: Find the 3rd term in the expansion of (5x 2)4 in simplest form.

A:

Q: In a sequence {1, 5, 15, 35, 70, 126}, what is the recursion formula for these numbers in this…

A: Given: a sequence 1, 5, 15, 35, 70, 126, ... To find: Recursion formula.

Q: What is the coefficient of the 3rd term from the beginning in the expansion of the expression ( 2x-…

A: Given: a2x-y6

Q: Find the 2nd term in the expansion of (a + b)° in simplest form.

A:

Q: Find the recursive formula. 13) 17, 15, 13, 11, ..

A: Note - Acc to Bartleby guidelines, we are supposed to do only one question . If u want more to be…

Q: Without expanding completely, find the indicated term(s) in the expansion of the expression.

A: Given expression: 3c+c247 Concept used for the general term:…

Q: Find the 7th _term in the expansion of : 5 2x 4x

A:

Q: 2. What is the common difference in this recursive definition? An-1 +? %3D /8

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.