(a,) is a sequence and a, =3, n21 for 5a =a. What is the general term of this sequence? O a. a, = 5 O b. a, = 3 2n a =3 Od. an O e. 2-1 115

Q: In an arithmetic sequence a1, a2,, an, if the first term is 7 and the common difference is 6, then…

A: here option C is true

Q: Given the first term and the common difference of an arithmetic sequence find the recursive formula.…

A: Recursive formula

Q: 1. Write the first five terms of the sequence defined by i) a, = (-1)"+1 Li. ii) b, = . 2. Find a…

A: Given: Question 1(i)  an=(−1)n+11+nn!(ii)  bn=2nn!find five termsQuestion 2(i)…

Q: In an arithmetic sequence a1, a2, ·.., an , if the first term is 4 and the common difference is 3,…

A: we use the formula of nth term an=a+(n-1)d.and solve the question. see 2nd step.

Q: The third term in the sequence with a1 5 and an = ɑn–1 +5n where n > 1 is

A: Thrid term of the sequence is;-

Q: The first term of a geometric sequence is 8 and the fourth term is 216. What is the sum of the first…

A: Given: In a Geometric series (GS), First term a1=a=8 Fourth term a4=216 To find: Sum of first 12…

Q: In an arithmetic sequence, if az = -12 and ag =-31, then the common difference d is O 19 O 22 O 21 O…

A:

Q: Give the common ratio of the * sequence 10, 2, 2/5 , .... O 1/ 5 O 5 O -5 O - 1/ 5

A: common ratio is the ratio of particular term to previous term.

Q: The second term of a GP is 24 and the sixth term is 121.5, the first term of the sequence will be A.…

A: Solve the following

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: 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: The general term for the sequence ,. is: 369 12 15 4'5'6'7 is: s... 3n n+1 3n 3+2 n+3 n+1

A:

Q: The third term in the sequence with a1 = 5 and an an-1+2n where n > 1 is O 11 O 17 O 5 O 15 O 9

A: To find third term of the sequence

Q: 8. Give the first 3 terms of the following geometric sequence and the n" term, a. a. a=4 andr 2 d. a…

A: Here given that                             a=4 and r=2 We have to find the first 3 terms of the…

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

A:

Q: What is the recursive formula for the geometric sequence 2, 6, 18,54, O A an 3, if n = 1 3- a, if n…

A:

Q: a1 = -1, and for n = 2, 3, 4, .. What is the common ratio, r, for this sequence? O -- O r--1

A:

Q: Find the formula (nth term) of the sequence 7, 10, 15, 22, 31, .. . O an = (-2)" O an = (n-5)/4 an =…

A: As per company's guidelines, we are supposed to solve first question for you, kindly repost other…

Q: The third term in the sequence with a1 = 4 and an= an-1+5n where n > 1 is 29 4 O 19 34 O 14

A: Explanation of the solution is given below...

Q: 1. How many terms are there in an arithmetic sequence where a̟ = 12,an = 60 and d = 8? %3D

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

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: The third term in the sequence with a1 = 2 and an = an-1+4n where n > 1 is, O 22 O 10 O 14 O 26 O 2

A:

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

A:

Q: In geometric sequence a1, a2, · · · , an , if a4 = 405 and ag = 3645, then the common ratio is 4 O 3…

A: To find the common ratio

Q: In geometric sequence a1, a2, , an , if a2 = 140 and a4 is 3500, then the common ratio 4 O 5 O 25…

A:

Q: Predict the general, or nth term, an, 3, 6, 9, 12, 15, ... O A. 3n OB. +3 OC. n³ O D. 4n of the…

A: Here, the given sequence is: 3,6,9,12,15,...

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

A:

Q: Find the sum of the first 6 terms of the sequence defined by an = -7 (-4)n-1 for n 2 1 5733 O 28 O -…

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: For the sequence defined by: a1 = 2 5 An+1 = an - + 4 Find: a2 = az = a4 =

A: Find the values of a2 a3 a4

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

A:

Q: Given the geometric sequence: 2, 6, 18, 54, 112, . What is the common ratio and what is the 13th…

A:

Q: An Ontario lottery has the following structure, the first person drawn from the names wins $14 000.…

A: Given, an Ontario lottery has the following structure, the first person drawn from the names wins…

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: 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: In an arithmetic sequence {a1, a2, az, · .....} the first term is 6 and the 20th term is 101, then…

A: Given : a = first term =6

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

A:

Q: The general term for the sequence , . is: 3n n+1 3n 3+2 n+3 n+1

A: Given:     To determine: The general term of the given sequence.

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

A:

Q: The attached diagram represents the first three terms of a sequence:   Assuming the pattern…

A: Given,

Q: Find the common ratio and write out the first four terms of the geometric sequence (1.03)" n-1…

A: The nth term of the geometric sequence is given by an = 1.03n-1…

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: Find the formula of the general term an of the sequence: 1 1 1 1 3 '9 '27 '81

A:

Q: The first three terms of an arithmetic sequence are given. Find an expression for t in terms of n,…

A:

Q: What are the terms ao, aj, a2, and az of the sequence {an}, where an equals b) (n + 1)"+l? d) [n/2]…

A: a. an=2n+1. The terms become a0=20+1=1; a1=21+1=3; a2=22+1=5; a3=23+1=9 Therefore, the terms of the…

Q: For the given sequence below, give an expression for the the nth term. 6 12 24 48 {a 1, az, Q3, Qq,…

A: The first term=a1=-3The common ratio=r=second termfirst term=67-3=-27

Q: (a) What are the 5th terms for each sequence? That is, what are the values of a, and b5? (b) For…

A:

Q: Which of the following is the explicit formula for the sequence {-2, -6, -18, -54, -162, ...}? a. =…

A:

Q: The third term in the sequence with a1 = 5 and an = an-1+3n where n > 1 is O 5 O 14 O 11 O 23 O 20

A: 14

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.