A sequence can be generated by using an = a (n – 1) + 29, where a1 = 46 and n is a whole number greater than 1. What is the 6th term in the sequence, a6? O A. 180 ов. 191

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: Write the first five terms of the sequence defined recursively. 1 5) 416, am ar1 7

A: Plug n=2 in the formula to get the second term. Then plug a1= 6 So, second term = a2= -1/6

Q: Find n for a, = 101 in the following arithmetic sequence. %3D 20, 29, 38, .. The term 101 is the 34…

A:

Q: D) Find, with explanation, a sequence with two different starting terms which contains 5 consecutive…

A: Let the sequence be 2, 4, 6, 10, 16 That is  a0=2a1=4a3=2+4    =6a4=4+6    =10a5=6+10    =16

Q: Select the first five terms of the sequence. (Assume that n begins with 1.) an = (-1y"| n+11

A: Substitute n = 1 and 2  and then find a1 and a2.

Q: Use the explicit formula to find the 50th term of the sequence An -n² - 3n

A:

Q: .A sequence can be generated by using an = a(n-1) + 6, where a = 3 and n is a whole number greater…

A: The given sequence is an=an-1+6 where a1=3. Put n = 2,  a2=a1+6=3+6=9 Put n = 3, a3=a2+6=9+6=15 Put…

Q: A sequence can be generated by using an = 3a (n – 1), where a1 = 5 and n is a whole number greater…

A: Given,     an=3an-1,  where  a1=5 and n is whole number greater than 1.

Q: List the first five terms of the sequence: An a1 = 4, аn+1 An + 1 aj = , a2 = Az = a4 and a5 =

A:

Q: Find the 8th term of the sequence -5,- 27 2187 6561 2187 D cannot be determined 5n

A: Given: Sequence: -5, -53, -59, -527, ... To Find: The 8th term of the given sequence

Q: ^A sequence can be generated by using a, = a,-n+ 29, where aj = 46 and n is a whole number greater…

A:

Q: Write the first five terms of the sequence. (Assume that n begins with 1.) a, = 8(-1)" + '(,) n - a1…

A:

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

A:

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: What are the first 5 terms of the sequence a₁ = 5₂ a = 2n-a n-1, where

A: We have to apply simple mathematics logic to solve the problem

Q: Find the first four terms of the sequence in which a1 = 5 and an = 3an-1 + 2 for n ≥ 2.

A: Consider the following equation: an=3an-1+2          for n≥2                        ...... 1a1=5…

Q: 3. What is the general term of the sequence: 5, 15, 45, 135, 405, ... a. t₁ = 3(15) b. t₁ = 3(5)n-1…

A:

Q: Find the 7th term in the sequence with the following definition: a₁ = 64 an = an-1

A: Given.

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: Use differences to find a pattern in the sequence. 0, 14, 76, 236, 568, 1170, 2164 Assuming that the…

A: Given; 0, 14, 76, 236, 568, 1170, 2164 To Find: To identify the pattern and then to find the eighth…

Q: 7. In the arithmetic sequence 1, 5, 9, 13, .., which term is 405? * О 102 O 101 О 100 О 9

A: GIVEN: Arithmetic sequence 1, 5, 9, 13, ........

Q: (2n + 1) ifn is divisible by 4 18. a 21 if n is not divisible by 4

A:

Q: The nth term of the following sequence 1,4,7,10,.is A. n В. Зп — 2

A: Solution of the problem as follows

Q: What is the sum of the first 10 powers of 2? Assume the first term of the sequence is a1=2 A.s20=…

A: Given: A sequence of 10 terms with powers of 2, starts with first term a1=2. The objective is to…

Q: A sequence is defined by an = -5+ (n 1)14, where n is a positive integer. What is the value of a10?…

A: Given general formula for a sequence.

Q: Predict the general term, or nth term, a, for the sequence. 12345 - - .... 6' 7' 8' 9' 10'* an

A: The 'nth' term of a sequence is a formula with 'n' in it which enables the evaluation of any term of…

Q: Use a₁ = 3 and r = -2 to find the term a7 in the sequence starting at a₁ with common ratio r.

A:

Q: write the first five terms of the sequence. assume n begins with 0. an= (-1)^(n+4)! %3D

A:

Q: Find a formula for the nth term in this arithmetic sequence: a1 = 8, a2 = 4, az = 0, a4 = -4, .. %3D…

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: The term a29 of the sequence {a,} given by 4 7 10 13 4'5' 6'7 is 91 33 Select one: O True O False

A: We have to find a29 term.

Q: An arithmetic sequence with a5 = 12 and a12 = 40 can be written in the form an = dn + ao %3D where d…

A:

Q: Find the 60th term of the sequence 5, -2,-9,-16,... O a-478 O b.non of them

A: Here given as 5, -2, -9, -16, ...... The first term of sequence is a1=5, Also the common difference…

Q: List the first five terms of the sequence. а1 3 6, ап+1 %3D 5а, — 2 a1 = a2 %3D az = a4 as = II

A:

Q: What are the first 5 terms of the sequence represented by a=2n-3a n "n-1, where a₁ = 4₂

A:

Q: Consider the sequence: 2, 4, 8, 16, 32, ... Determine the 20th term of the sequence. O A. 1,048,576…

A:

Q: What is the recursive formula for the sequence? 4, 24, 216, 2592, 38880, .. a1 = 4, an = 3na,-1 ај 3…

A:

Q: The first few terms of a sequence are: 8 8 8 8 8 {an} 3' 9' 27' 81’ 243 8. Assuming this pattern…

A:

Q: Determine the common ratio and then find the recursive rule for the given sequence: -1, 6, -36, 216,…

A: The given problem is to find the common ratio for the given recursive relation of sequence , we can…

Q: Find the first ten terms of the sequence in the formula an = 4n -n - 2. %3D

A: NOTE: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: 7. How many terms are there in the sequence 1,4,7,10,...,682?

A:

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: In the arithmetic sequence 7,23/3,25/3,…, which term is 51?

A: The given arithmetic sequence is 7, 233,253 where  first term a = 7              common difference d…

Q: Give the first five terms of the sequence: a, = n° -2n %3D

A: Given,           The sequence is an=n3-2n.

Q: 2.) Write an expression for the nth term of the sequence 1, 6, 120, 5040, 362,880, . . .

A:

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

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Q: Find all the terms of the finite sequence. 6) an = n²-n for 1≤n=5

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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.