X 6.2.3 Use the recursive definition A(n)= A(n - 1) - 7, when A(1)= 16 to find the first five terms of the arithmetic sequence it defines. A(1)=D

Q: Use an=a1+(n-1)d and gn=g1re-1 to find: the 59th term of the arithmetic sequence 20, 16, 12, 8 . .…

A: Our aim is to find the 59th term of the arithmetic sequence given below:-20,16,12,8.....        -(i)

Q: Use an=a1+(n-1)d and gn=g1re-1 to find: the 19th term of the geometric sequence -2, -6, -18, -54 .…

A: Here the given series is a geometric progression. So to find any term in the series we use formula…

Q: Find the first four terms of the following recursively defined sequence. b-1+ 7k, for each integer k…

A:

Q: (X) 16 (D) 16 (E) 256 26. The sequence A is defined by A 100 terms in sequence A? A +2 for each…

A: Given, A_1=45 and An=A_(n-1)+2. Using n=2,3,4,.. in this expression we get: A_2=47,A_3=49,A_4=51,...…

Q: Construct the 5th term in sequence based on recursive definition. Show how you derive each term…

A: Construct the 5th term in sequence based on recursive definition. Show how you derive each term…

Q: Find for the 20th term of an arithmetic sequence 3, 6, 9, 12,

A: Let's find.

Q: Determine an and ag for the arithmetic sequence. a14 = 41.5, a15 = 47.5 an %D (Simplify your answer.…

A: a14=41.5,  a15=47.5an=?a8=?

Q: Find the first 4 terms, a10, and a,5 of the sequeñce with the following nth term. a = |(Simplify…

A: The sequence                        an=nn-3, n≥4 then we have to find the first 4 terms and a10 and…

Q: Find the first 4 terms of the recursively defined sequence. a1=4, a 2 = 5, an+1=an+ an-1

A:

Q: Given the sequence an defined recursively below, find a4. 3 а, %3D —За,-1 — а,-2 — 2 аn-2 — 2

A:

Q: a = (k + 1)a, +1 and a =-1 [3] Let be a sequence defined recursively as , find a,, "3, and a..

A: I am attaching image so that you understand each and every step.

Q: Calculate the 10th term for this arithmetic sequence: 4, 1, -2, -5, ..

A:

Q: Write down the sequence whose nth term is (i) 2"/n and (ii) [3+ (-1)"]/3".

A:

Q: Find the 10th term of the arithmetic sequence in which a1=12 and d = 9.1.

A: It is given that, a1=12d=9.1   It is known that nth term of arithmetic sequence can be found  by…

Q: Write the first three terms of the sequence defined by a₁ = 2, 2a +3 an +2 an +1 =

A: Given,  The sequence is defined by  an+1=[(2an+3)/(an+2)]  and a1=2 . To find first three term of…

Q: 口 2. Determine the common difference of the arithmetic sequence 3m-2n, 4m-n, 5m, 6m+n,…... m+n m-n…

A: Please see the below answer.

Q: Find the first file terms of the following sequence bn=(-1) n(4n-4)

A: To determine: first five terms. Given: bn=(-1)n(4n-4)

Q: Given JKLM is a Rectangle, JL= 2x + 5 and MK = 4x-11 Find the value of x and MK. J M L

A: JKLM is a rectangle. The diagonals of a rectangle are equal.

Q: 4. Find the value of x so that x+7, -x-1, x+ 13,.. shall form a geometric sequence.

A:

Q: An arithmetic sequence is defined recursively by a1=-3 and a,-an-1+ What is the value of the term a,…

A: The arithmetic sequence is defined as follows: a1=-3 and an=an-1+7for n>1 The common difference…

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.