Find the first three terms of the recur a1 = 3, a, = n²a, - 1 %3D %3D = 3 %3D a2 =16 12 %3D 1. 3.

Q: The nth term of a sequence is given by an find the first two terms. %3D n+1"

A:

Q: The first five terms of the sequence  are: 5,

A:

Q: Use the formula for the sum of a geometric sequence to write the following sum in closed form. Here,…

A: Solution:

Q: A partial sum of an arithmetic sequence is given. Find the sum. 3 + 6 + 9 +... + 324

A: 3+6+9+...+324 the first term is  a1=3 find the common difference d=6-3 d=3 . and the last term is…

Q: Find the common difference and the sum of the first 5 terms of the arithmetic sequence. an = 5n – 2

A:

Q: Find a formula for the general term a, of the sequence assuming the pattern of the first few terms…

A:

Q: Find the recursive and explicit formula for each arithmetic sequence. Explicit formulas need to be…

A:

Q: Write a recursive formula for each sequence. 3,-6, 12, -24, ... 2, 6, 10, 14, ... %3D for n 2 2 for…

A:

Q: Find the first 10 terms of the sequence a,n = 2n + 3. its 9th term is its 10th term is

A:

Q: The nth term in a sequence is an. How can you represent the next three terms in the sequence?

A: Given, A sequence with, n th term= an

Q: Write a recursive formula for each sequence. 3, 6, 12, 24, ... 11, 5, -1, -7, ... %3D for n 2 2 for…

A: Sequence is a function with domain being the set of natural numbers and the range being the set of…

Q: The first two terms of the arithmetic sequence are given. Find the missing term. a1 = 6, a, : = 19…

A: Given that first term a1 = 6 and second term a2 = 19 We have to find fifth term a5 = ?

Q: For the given geometric sequence. Find the sum of the first 6 terms of 3, -6, 12, ….

A:

Q: Determine the sum of the geometric sequence if it exist. If the sum does not exist, write DNE. 8,…

A: Given,            A sequence is 8,-12,18,27,.....We know that,           A sequence is in Geometric…

Q: The 12th term of an Arithmetic sequence is 240 while the 7th term is 196. Find the 10th term of the…

A: Consider the given 12th term of an Arithmetic sequence 240 and  term 7th of an Arithmetic sequence…

Q: An arithmetic sequence is a sequence in which each term after the first differs from the preceding…

A: Given That: Definition of Arithmetic sequence.

Q: Find the 2nd, 3rd, and 4th terms of the geometric sequence whose first term is 6 and common ratio is…

A: The nth term of a sequence can be obtained by the formula an=arn-1,where r is the common ratio and…

Q: 1.2.3 1.2.3.4 1.2.3.4.5 1.2.3.4.5.6 7 8 9. 10

A:

Q: Here are the first two terms of a geometric sequence: 2, 4. What are the next three terms?

A: First-term, a=2 Common ratio, r = 4/2 = 2

Q: Find the value of the first four terms of the sequence: an 1 and a = 1. 1+an-1

A: We plug n=2 to find the second term

Q: Write down the first five terms of the sequence: an = (3n)! a1 = az = az = a4 = a5 =

A: We will put the values of n and evaluate to find the terms of the sequence. n! = n x (n-1) x…

Q: Find the nth term of a sequence whose first several terms are given. 11 17 23 29 4 9 16' 25' an = II…

A:

Q: Find the first 10 terms of the sequence an Зп + 2. its 9th term is its 10th term is

A: Given that

Q: Write the first four terms of the sequence whose nth term, or general term, is given: an = (-1)n/2n…

A: Consider the following equation: an=-1n2n+1                    ...... 1 Substitute n=1 in the…

Q: Find the direct formula of a sequence given by 3, -6, 12, -24, 48.. An = (-2)n-1 an = 3(-2)n an =…

A: To find the direct formula of a sequence  3,-6,12,-24,48,.....

Q: Find the first four terms of the sequence given by the following. an= (-1)^n-1 x3n^2 n = 1,2,3

A: Given that: an=(-1)n-1x3n2  , n=1, 2, 3,

Q: Write out the first four terms of the sequence given the following recursive definition: tne1 =…

A: # the given initial value is a1=8 . considering it as t1=8 given the relation tn+1=-2tn+6 substitute…

Q: 5,2,5,2,.. O 4.=4(a)-2 a, = 6(a) a, =7-a

A: Here we find the correct recursion for for given sequence,

Q: Find the first four terms and the eighth term of the sequence.

A: Our Aim is to find four terms and the eighth term of the sequence given below:-3n-2n2+1-(i)

Q: Find the sum of the first five terms of the sequence with the given general term. an = (−1)n

A: Given sequence, an=(-1)n Put n=1 to 5 to get first five terms of sequence then add them.

Q: Write the first four terms of a sequence given the following information: a: = -2 and the recursive…

A:

Q: Write a recursive formula for the sequence: {- 3, 1, 5, 9, 13, ...} o , an 17 aj = -3

A:

Q: Write the first five terms of the sequence defined recursively. a₁ = 5, ak+1 = 4(a-3) ak+1 a₁ az 33…

A: We will find the required.

Q: Suppose you have the sequence 4, 1, -2, -5,.. . Find the sum of the first 20 even terms.

A:

Q: Find the nth term of a sequence whose first several terms are given. 3 5 7 9 1, 4' 9' 16' 25' an

A: See attached file for a step by step explanation.

Q: Write a recursive formula for each sequence. 17, 21, 25, 29, ... 4, - 12, 36, – 108, ... O for n 2 2…

A:

Q: Find a formula for the general term a,n of the sequence assuming the pattern of the first few terms…

A:

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Find the recursive and explicit formula for each arithmetic sequence. Explicit formulas need to be…

A:

Q: Determine the sum of the geometric sequence if it exist. If the sum does not exist, write DNE. 2, ½,…

A:

Q: Find the 15 term of the arithmetic sequence 1.18, 1.26, 1.34, ... the 15h term is

A: topic - arithmetic sequence

Q: Find the nth term of a sequence whose first several terms are given. 2, 5/4, 8/9, 11/16, 14/25

A:

Q: Find the nth term of a sequence whose first several terms are given. 10 11 9' 10' 11' 12' an = Need…

A: The given sequence is 89,910,1011,1112,....

Q: Find the first 10 terms of the sequence An 2n + 3. its 9th term is its 10th term is

A:

Q: The sum of the first eight terms of an arithmetic sequence {an} is 24; the sixth term is 0. Find a…

A:

Q: Write the first five terms of the sequence with the given nth term. an = 6n − 2

A: Given: an=6n-2

Q: Find the first 10 terms of the sequence an 5n + 2. its 9th term is its 10th term is

A: To find the first ten terms of the sequence substitute n=1,2,3,........9,10 in an

Q: Find the first four terms and the eighth term of the sequence.

A:

Q: a,=3-5n a, = 25(4)*1 a =4.2n-6 a, =-2(.75)*

A: Explanation of the answer is as follows

Q: Find an explicit formula for a sequence of the form a a2, a3 with the initial terms given below. ...…

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.