For each sequence given below, find a closed formula for an , the nth term of the sequence (assume the first terms are a0 ) by relating it to another sequence for which you already know the formula. In each case, briefly say how you got your answers. a) 4, 5, 7, 11, 19, 35, … b) 0, 3, 8, 15, 24, 35, … c) 6, 12, 20, 30, 42, … d) 0, 2, 7, 15, 26, 40, 57, … (Cryptic Hint: these might be called “house numbers”)

Q: Write an explicit formula for an, the nth term of the sequence 8, –4, 2, ....

A:

Q: For the sequence defined by: a1 = 2 5 - 1 an+1 = Find: a2 az = a4 =

A:

Q: The third term in the sequence with a=4 and a = a + 3n wheren>1 is %3D O 22 0 4 O 13 O 10 O 19

A:

Q: In the given question as folows , write an expression for the nth term of the sequence and then…

A: Given terms of sequence are  2, 1+12, 1+13, 1+14, 1+15,....

Q: Write an explicit formula for an, the nh term of the sequence 5, –1, –7,.... -

A:

Q: Find a formula for the nth term of the sequence where a, is calculated directly from n. 5 9 13 17 21…

A:

Q: In each part, find a formula for the general term of the the sequence, starting with n= 1. 1 1 1 1 1…

A: Since you have posted multipart questions i can do first three question as per our company…

Q: Find the explicit formula for the given sequence. 2, 8, 32, 128, ... a = 32· 4"-1 %3D A a = 2.4"-1 a…

A: Given, the sequence                2,   8,   32,  128 ....... So , by observation 2 = 2. 40   8 =…

Q: Find a formula for a, for the arithmetic sequence. 5 aq = 0, d = - %3D

A:

Q: Given that the 8th and 15th terms of an arithmetic sequence are 25/2 and 2, respectively, if the nth…

A:

Q: Given the sequence defined by b n= (−1) n-1n, which terms are positive and which are negative?

A:

Q: The first four terms of the sequence defined by a, = na,-1+n²an_2, a0 = 1, a2 = 3 are %3D ao = 1, a1…

A: Given nth term of the sequence is, an=nan-1+n2an-2 , and  a0=1, a1=3. Substituting n=2 in equation…

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

A:

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

A: Given query is to find the general term for the sequence.

Q: Write an explicit formula for an, the n'n term of the sequence 1, 5, 25, ... .

A:

Q: In the given question as folows, write an expression for the nthterm of the sequence and then…

A: The given sequence is S=23,34,45,56,...............

Q: Find the closed formula for each of the following sequences by relating them to a well known…

A: Here , given different sequences  a.) 2 , 5 , 10 , 17 , 26 , ..... Now in this sequence we can say…

Q: For the sequence defined by: a1 = 4 - 2 an an+1 Find: a2 : = az a4

A:

Q: In each part, find a formula for the general term of the sequence, starting with n = 1. Enter the…

A:

Q: Find the closed formula for each of the following sequences (an)n>1 by relating them to a well known…

A:

Q: Which explicit formula describes the sequence {1,2/7,4/29,8/343,...}?

A: gdfge

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

A: given series :

Q: Find an explicit formula for the following sequence, an which starts with a1=−1.…

A: We have to solve given question.

Q: Write a formula for the nth term of an of the sequence and determine its limit (if it exists).…

A: The sequence is: 1, -22, 34, -48, 516, ..... This can then be written as:

Q: Find the explicit formula for the given sequence. 2, 8, 32, 128, . .... a = 2.4"-1 A a = 8.4"-1 %3D…

A: We have the given sequence is 2,8,32,128............

Q: Let the sequence be defined by the formula an=5n−3. For what value of n is an=97

A:

Q: Find a formula for the general term an of the sequence 2 5 8 11 14 3'9 27' 81' - 243' assuming that…

A: find Your Solution Below

Q: The first four terms of the sequence defined by an = nan 1+En'a, 2, ag = 2, a, = 6 are O ao = 2, a1…

A: Note:- For given problem Either options are wrong because according to problem a2=6 but in option…

Q: the sequence {12, 4, −4, −12, −20, } assuming that the pattern

A:

Q: Find the closed formula for each of the following sequences by relating them to a well known…

A:

Q: Write an explicit formula for a_nan​, the n^{\text{th}}nth term of the sequence 2, 4, 8,

A:

Q: The general term of the sequence 1, 24'8 ... , starting by n=1 is to0 1 (i) n=1 +00 1 (ii) n=1…

A:

Q: Find a formula for the general term ɑn of the sequence assuming the pattern of the first few te con…

A:

Q: Use the formula for the sum of the first n integers and/or the formula for the sum of a geometric…

A:

Q: Write an explicit formula that can be used to find the value of an, the n th term in the sequence.…

A: Given : a = first term = 512 common difference ==6-512=12

Q: 5 7 9 11 13 1'2'6'24'120'

A: We need fond the pattern here

Q: > The general term of the sequence 1, 2' 4 , starting by n=0 is .. +00 (i) n+1 +00 (ii) (iii)None of…

A: In the question it is asked to solve for the general term of the sequence given in question.

Q: Give an explicit formula for an, the apparent   nth term in the sequence 7, 17, 7, 17, 7, 17...

A: .

Q: The domain of the following sequence ( where n is natural number * : ) is V5 – n Vn – 4 /5 — п {1,4}…

A:

Q: For Exercise, find the nth term an of a sequence whose first four terms are given. ( 5 10 15 20 4'…

A: To get the nth term an, we will try to write the sequence in general form. For which we will write…

Q: For each sequence, find a formula for the general term, an. Assume that the first term in the…

A:

Q: For the sequence defined by: a1 = 3 1 An +1 = an + 4 - Find: a2 = az = аз a4 = Submit Question

A:

Q: 1. Find an explicit formula for the general term of the given sequence: 5, 10, 20, 40, 80,…..

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: You are given the sequence defined by a₁ = 4, a2 = 7 and for m≥ 3, am = am-1+am-2. Prove (using…

A:

Q: prove the sequence below is graphical Let n be a positive integer, and let s be a sequence of n…

A: Use the induction to prove the condition.

Q: Consider the sequence defined by an a, = 2n + (-1)" – 1 for every integer n > 0. Find an alternative…

A: first we write few terms of given sequence then observe the pattern to get final answers.

Q: Find as for the sequence defined by an 2ап-1 + 3, ао :1 (A) 11 (В) 29 (C) 61 (D) 17

A:

Q: Write an explicit formula for a_nan​, the n^{\text{th}}nth term of the sequence 180, -30, 5,

A:

Q: In each part, find a formula for the general term of the sequence, starting with n = 1. Enter the…

A:

Q: Find a closed formula for the sequence (Cn)neN defined as follows: if n = 1, Cn = if n = 2, 8. Cn-1.…

A: As per the question we are given a piece-wise defined sequence (cn) and we have to find a closed…

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.