(a,) is a sequence and a = 3 , n1 for 5a =a. What is the general term of this !! sequence? O a. a, = O b. 2n-1 2n a, =3 d. 2* a, = 5 Oe. a, =3 k için buraya yazın MATH 1852 ŞB: 1 0. n Midterm Exan

Q: The simple formula for a, if the first 5 terms of the sequence {an} are 1, 21, 121, 621, 3121 is:…

A: We are asked to find which is correct for the sequence.

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: Which explicit formula describes the geometric sequence {1/3,1/9,1/27, 1/81…}? A. an= 1/3 (3)^n-1…

A: Given sequence is: 13,19,127,181, ...

Q: the given pattern continues. Write down the nth term of a sequence {an} suggested by the pattern.

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

Q: 19 Find the explicit formula for the given sequence. 2, 8, 32, 128, .. A an = 2+4 (n – 1) B an = 4+2…

A: Given sequence 2,8,32,128...... We notice that  a1=2=21 a2=8=23 a3=32=25 .......

Q: 1. What is the 5th term of the geometric sequence described by a, = 5(1.5)"? %3D O az = 5.0625 %3D O…

A: The given question can be solved as shown in step2

Q: Suppose that a sequence is defined as follows. a1=-4,   an=3an-1+7 for n>2 List the first four…

A: Given: The given sequence is defined as, To determine: The first four terms of the sequence where

Q: Let a, denote the nh term of a geometric sequence. Let an = 256 and a+1 = =0.5am Part A Write an…

A: In the geometric sequence, the ratio of the consecutive terms is the same (equal) which know as a…

Q: Which of the following represents the Fibonacci sequence? O a1 = 1, a2 = 1, an = an-1 – an-2, for…

A: We will find the Fibonacci sequence.

Q: The third term in the sequence with a1 3 and an = an-1 + 2n where n >1 is

A:

Q: 3. What is the 10th term of the sequence whose nth term is an = (n^2+2n-3)/(n+1) ? * O 117/11 O…

A: We are given the nth term of the sequence and we need to find the tenth term of the same. This can…

Q: Which of the following sequence satisfies the recursive formula : an 5.an-1;n > 2 %3D O 5, 28, 125,…

A: In the question it is asked to find which series represents recursive formula.

Q: Let (an) be a sequence such that (a)a, where a # 0. Show that la - a (3/4)a? lan-als and deduce that…

A: Given: an be a sequence such that an3→α3, with α≠0. To do: Show that…

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: The formula for a sequence is 2n+3 where n=1,2,3... Show the first four terms of the sequence

A:

Q: 14. Which explicit formula describes the geometric sequence {, ,7 8T}? 1 1 O an = (3)"-1 O + (n –…

A:

Q: 7 Find the explicit formula for the given sequence. 2, 8, 32, 128, . (A 33 · 4"-1 a = = 2 · 4"-1 a ©…

A:

Q: A formula for the sequence 0, 3, 8, 15, 24, is Select one: О a.(п - 1) (2n -1) O b.n(2n + 1) О с (п…

A: Given sequence is 0,3,8,15,24..... Now we can write, 0=1-13=4-18=9-115=16-124=25-1

Q: Consider the following sequence 4/7, 9/14, 5/7, 11/14, ____, if arithmetic, give d. and supply…

A:

Q: Find the first six terms of the piecewise sequence: n2 if n 2 a2 = az = a4 = a5 = a6 =

A:

Q: What is a formula for the nth term of the given sequence? 4, 16, 64... An = 4(4)1-n Am = 1(;)n…

A: We are given a sequence : 4,16,64,... We need to find the formula for nth term of the sequence.…

Q: Given that {a,n} is a sequence such that n 2" P. = II a = +1 %3D ak = n2 + 1 k=1 Find n (k? + 1)ak…

A:

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

A: a1 = 10/3 r = 1/3

Q: For the sequence defined by: ai = 2 1 + 5 An аn + 1 — Find: a2 az = a4 = II

A: To find  a2 , a3 , a4  substitute n=1,2,3 respectively  in the given equation.

Q: Find the 5th term of the sequence with formula an+2=2an+1 + an where a1=1 AND A2=1

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: Let (an) be the sequence defined by a1 = 5 and an = 2an-1 – 3 when n > 2. What is a4?

A:

Q: Given that the first term of an geometric sequence is 2 and the common ratio is 3 what is the…

A:

Q: The general term of the sequence is Select one: O True O False 1, an = 1-1 1 (-1)"+1 ,n21

A:

Q: Consider a sequence generated by the formula ​f(n)=3n-9​ starting with ? = ?.

A: Consider a sequence generated by the formula ​f(n)=3n-9​ starting with

Q: 1. Which of the following represents an explicit formula for a given sequence? 1. A(n) = 2 A(n – 1)…

A:

Q: Consider the sequence given by an = 2 – 6n. a. Find the first 6 terms of the sequence. What sort of…

A: Solutions:-4

Q: Find a fomula for an given the few terms of the sequence. 1/2 , 1/4 , 1/8 , 1/16 , ....

A: We can solve the problem by obtaining the nth term of the sequence.

Q: write an expression for the apparent nth term (an) of the sequence and assume that n begins with 1…

A: The sequence is given by 31, 42, 53, 64,75,····· To evaluate : The expression for the apparent nth…

Q: 2. Given that a10 = 78 and a25 = 198 are terms of an arithmetic sequence, find an. 3. 6, 10, 16,…

A:

Q: Ind the first four terms of the sequence given by the following. q=(-1)^2n², n = 1, 2, 3, ...

A: Given: Sequence is an=-1n·2n2. To find: First four terms of the sequence.

Q: Find the expression of the general term of the sequence given by 3 5 7 9 11 1, 2'6' 24' 120 ' 720 2n…

A: The given sequence,      1,32,56,724,9120,11720

Q: In geometric sequence a1, a2, - --, an , if a4 = 1472 and a6 23552, then the common ratio is O 4 O 5…

A:

Q: A sequence {a n} is defined as follows: ao =2 a1 = 1 for n22,an=3•an-1-n·an-2 +1 What is a3?

A: a3=-2

Q: For the sequence with recursive description a, = an – 1 + (n2 + 3n), where ao = 4, complete the…

A:

Q: For the sequence defined by: 2 1 - 3 An a1 || аn +1 Find: a2 az = a4 = II

A:

Q: For the sequence defined by s, = E(? – i), complete the first three rows of the difference table i=1…

A:

Q: 8.1.4 Write out the terms a_1,a_2,.....,a_6 of the given sequence. a_(n)=3/((n)+4) Is this right?…

A: Given:The general term of the sequence is

Q: 1. Which of the following represents an explicit formula for a given sequence? 1. A(n) = 2 A(n − 1)…

A: The explicit formula for a sequence will depend on n. A recurrence sequence will depend on preceding…

Q: The nth term of a sequence is given. Find the first 4 terms. 2n 1 %3D + 2n 5 7 3 1, OT8 15'8 7. 1 1…

A:

Q: Which of the following sequence is not a term of 36? a. Tn = n2 b. Tn = 6n c. Tn = 6n - 6n d. Tn…

A: For option a.  let n = 6 then T(6) = 36 so option a is incorrect. For option b. let n = 6 then T(6)…

Q: Find the formula (nth term) of the sequence 4, 10, 28, 82, 244, .... O an = 3n + 1 an = 6n + 1 O an…

A: Given, The sequence  4, 10, 28, 82, 244, .... We have to find the nth term of the sequence

Q: (a,) is a sequence and a, =3, n21 for 5a1=a. What is the general term of this %3D sequence?

A: see next step

Q: 2. Find the recursive formula for the following sequence: 2, 5, 10, 17, 26, ... an

A:

Q: 1. Give a formula for the general term a, for each sequence below. 7,4, 1, -2, -5, .. 81, -27, 9,…

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.