How many terms are there in each of the following​ sequences?   a. 36​ ,37​, 38​, 39​,​..., 136 b.​ 1, 3 ,3 2 3​,3 ​,​..., 340  c.1000 ​, 2000​, 3000​,  4000​,​..., 20000  d.1 ​, 2​,  4​, 8​,  16​,  32​,​..., 256

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

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Q: in the sequence 1,4,8,10,15,26,95,17,80 which of the following would be the correct way to refer to…

A: As we can see  26 is 6th term in the given sequence

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: How many terms are there in each of the following sequences? a. 53, 54, 55, 56, ..., 253 b. 1, 2,…

A: Note: There are many subparts in the questions. So I will answer the first three subparts from the…

Q: Suppose a, is the sequence such that a, = -3 - (-1)". Find 25 Li-5 đị. O a. 325 - 35 O b. -3 Ос. 3 O…

A: Given sequence is an=−3⋅−1n. We have to find the ∑i=525ai.…

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: How many terms are there in each of the following sequences?

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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: How many terms are there in each of the following sequences? a. 33,34,35,36,....,233 b.…

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Q: Suppose that a sequence is defined as follows. a=2, a,=-3a,-1 for n22 List the first four terms of…

A: Given :              a1 = 2              an = -3 an-1 + 5 To find :                    The first…

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

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Q: What are the terms a₀, a₁, a₂, and a₃ of the sequence {aₙ}, where aₙ equals  a) 2^n + 1? b) (n +…

A: Since you have posted multipart question and we can answer three subparts. So, answered the first…

Q: How many terms ae there in each of the following sequences? A.   1, 3, 9, 27, 81, 243, ..., 6561…

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Q: How many terms are there in each of the following sequences? a. 56,57,58,59,...,456…

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Q: The first four terms of the sequence defined by an = nan-1+n°n_2,40=1, a1 = 5 are %3D a0 = 1, a1 =…

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

Q: For each of the following sequences, determine the indicated geometric means. 8. 8, ,_25,000,... 9.…

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Q: Consider the sequence: 2, 4, 8, 16, 32 ... Determine the 20th term of the sequence. O A 2,304,127 O…

A: A geometric sequence is one in which any term divided by the previous term is a constant. This…

Q: As which term does appear in the sequence 81, 27, 9...? 27 a. 5th b. 11th 8th с. d. 15th е. 12th

A: This question we are given we are given with a series and we have to find that a term which will…

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

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Q: 5. What are the first five terms in the recursive sequence defined by the following? aj = 0 Chn =…

A: Given: The recursive  equation as  a1=0,an=an-1-1.4 To find: First five terms of the given recursive…

Q: Find the So. for each of the following sequences. 16 32 i) 20, 8, ****** 5' 25' 3-3 " 4 16 ii) 12,…

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Q: The first four terms of sequences A, B, C and D are shown in the table. 2nd term 3rd term 4th term…

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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…

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Q: How many terms are there in each of the following​ sequences?   a. 36 ​,37 ​,38​, 39 ,​..., 336  b.​…

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Q: C. For each of the following sequences, determine the indicated arithmetic means. 7. -15,_, _,15,...…

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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: Suppose b1, b2, ba,.. is a sequence defined as follows. Show that 5 b, for all integers n > 0. bị =…

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Q: List the first five terms of the sequence. a1 = 4, an+1 = 5an – 1 a1 = a2 аз az = a4 a5 =

A: Fist five teems of the sequence

Q: How many four-letter sequences are possible that use the letters c, r, h, e once each?

A: According to the given information in this question We need to find that how many four letters…

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

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Q: Find the first three terms of the a, = 4 sequence: an+1= 5n + 1 an 6. O 4, 4, 22/3... O 4, 22/3,…

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Q: or each of the following sequences (eithe 9, 18, 27, 36, 45, .

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

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

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Q: How many 7-letter sequences can be made using the letters in the word U R U G U A Y exactly once…

A: We have to find number of permutations possible.

Q: What are the first five terms of the following sequence? a₁ = 25, an an-1-5 O 5, 10, 15, 20, 25 0…

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Q: Calculate how many different sequences can be formed using all the letters in ARKANSAS? The number…

A: In ARKANSAS there are  number of As=3 number of Rs=1 number of Ks=1 number of Ns=1 number of Ss=2…

Q: I) Consider the sequence 4, 6, 8, 10, 12, (a) If {an} denotesthis sequence, then n=1 a1 =

A: Given the given sequence is 4, 6, 8, 10, 12, ···

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: How many different seven-letter sequences can be formed from the letters a, a, a, a, a, b, c?

A: Among a, a, a, a, a, b, c, there are 5 a's , 1 b and 1 c If the letters were all different then we…

Q: Determine the explicit formula for the following sequences. 2. Sequence: 6, -6, 6, –6, 6, ... a, = 6…

A: Solution is given below:

Q: Let bo, b,, b2, - be the sequence defined by the explicit formula b, =C. 6" + D(-5)^ for each…

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Q: Suppose that a sequence is defined as follows. a1 =-4, an= 3a,-1+7 n2 2 for List the first four…

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Q: List the first five terms of the sequence. aj = 5, an+1 5а, - 6 5an %3D aj = a2 = %3D a3 = a4 as |3|

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Q: If a sequence has 6 letters with each letter either A or B, how many sequences have more As than B…

A: Using definition of combination, no.of such sequences obtained

Q: Suppose that ao, a1, a2, ... is a sequence with these properties: ao = 6, a1 = 17, and an = 5an-1 –…

A: Solution is given by induction :

Q: Determine the next four terms in each of the following sequence 1. 4, 8, 12, 16, . 2. 3, 4, 7, 12,…

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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.