*The first two terms are any positive numbers.  *Each of the remaining terms is the sum of the digits of the previous two terms.  For example

Q: If the sequence if geometric, match it to its correct explicit formula, an = If it not geometric,…

A: The GP is the series where the terms differ by a ratio r and can be represented as a, ar, ar2,…

Q: create a sequence with five terms based on the given information.  An arithmetic sequence with a…

A: Given that the third term of the arithmetic sequence is 8 and the common difference is 5.That is a3…

Q: What is the 5th term of the sequence defined by the formula Tn=2n2−5n+1.

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Q: If the first two terms of a Fibonacci sequence are 32, 83, then what is the next term ?

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Q: ind the sum of the first eight terms of the sequence 1/8,−1/4,1/2, . . ..

A:

Q: What is the 100th term of the sequence –3, 2, 7, 12, ...?

A: Given: Sequence: –3, 2, 7, 12, ...?   To find: 100th term of the sequence. Formula to be used:…

Q: A Dignacci sequence is created as follows. The first two terms are any positive whole numbers Each…

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Q: The following infinite sequence will be defined as recurrent relation: 1,10,3,20,9,30,27,40, ... The…

A: This question is related to sequences. The solution to the given question is explained below.

Q: Find the first five terms of the recursive sequence defined below. ti -2 %3D tn = tn-1+3 Select the…

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Q: 5. Distinguish between a sequence and a series. Use both words and examples to make this…

A: Distinguish between a sequence and a series:

Q: Find at least three different sequences beginning with the terms 4, 8, 16 whose terms are generated…

A: Given that  The sequence   4,8,16

Q: Suppose that the sequence {ak}1 is 2, 4, 6, 8, 10, 12, 14, 16, . What is a,?

A: we have the given sequence 2,4,6,8,10,12,14,16,...

Q: Determine the sum of first 20 terms of the arithemetic sequence if the first term is 2 and second…

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Q: s constructed in a similar way to the Fibonacci sequence is the Lucas Sequence:…

A: In this question, the concept of the sequence is applied. Sequence A series is created by a…

Q: For the set { 9 , 14 , 19 , 24 , .  .  .}   a)  ________________  is the general term for this…

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Q: Can you find a formula or rule for the nth term of a quence related to the prime numbers or prime…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: Find the term indicated in each of the following arithmetic sequences.  1. 2 , 4 , 6 ...…

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

Q: What are the first 5 terms in the sequence an = 2n + 8 O 2, 10, 18, 26, 34 O 10, 12, 14, 16, 18 О 8,…

A: Given an=2n+8.

Q: Determine the pattern and find the missing terms in each of the following sequences. 1. 2, 5, 10,…

A: A) 1.   This sequence  has terms  which are incremented by odd numbers starting  from…

Q: A certain type of bacteria grows as follows each hour: 50, 150, 450, 1350, 4050... Which of the…

A: An arithmetic sequence with common difference'd' and first term 'a' then the sequence is a, a+d,…

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

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Q: 17th term of the sequence 7,4, 1,......

A: For part (1) We have to find out the 17th term of the given sequence.

Q: A Diginacci sequence is created as follows. • The first two terms are any positive whole numbers. .…

A: Here, we need to find a sequence with two different starting terms which contains five consecutive…

Q: The second term of a geometric sequence is 14 and the sixth term is 224. fin the nth term and assume…

A: we have to find the nth term

Q: 3. Find two possible next terms of a sequence 2, 8, 9,17 that is neither geometric nor www…

A: Given the sequence 2,8,9and 17. We need to find the 2 possible next terms of a sequence.

Q: It is a sequence where every term after the first is obtained by multiplying a non-zero constant. O…

A: To tell which is the sequence where every term after the first is obtained by multiplying a non-zero…

Q: What will be the sum of arithemetic sequence with first term a1=1 and second term a2=24

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Q: The fourth term of an arithmetic sequence is 10 and the 20Oth term is 58. Determine the first four…

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Q: Construct a difference table to predict the next term of the sequence. 1, 4, 13, 28, 49, 76, . . .

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Q: 4. The 1st term of an arithmetic sequence is -168 and every term after the first is 8 more than term…

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Q: Determine the next four terms in each of the following sequence 1. 1/5, 5/6, 9/7, ... 2. 1/3, 2/3,…

A: The objective of the problem is to find the next four terms of the given sequences. Consider the…

Q: Find the sum of the first five terms of the sequence with the given general term. an = (−1)n

A: Given sequence, an=(-1)n Put n=1 to 5 to get first five terms of sequence then add them.

Q: n a theatre, there are 15 seats in the first row, 19 seats in the second row, 23 seats in the third…

A: In a theatre, there are 15 seats in the first row19 seats in the second row.23 seats in the third…

Q: A Diginacei sequence is created as follows. • The first two terms are any positive whole numbers. .…

A: Given:A Diginacci sequence is created as follows, The first two terms are any two positive whole…

Q: What is the n^th term of the following sequence 1,4,7,10

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Q: The first four terms of the sequence defined by an пап 1+ п'а, 2, @о — 3, а, — 4 are %3D aо — 3, ај…

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Q: Find the number of length-7 sequences from the numerical digits {0,1,2,3,4,5,6,7,8,9} such that the…

A: Combination(Selection): It refers to the situation where order of occurrence of event does not…

Q: {3, 6, 12, 24, 48, 96, 192 } How do I find the explicit formula for this sequence?

A: Given sequence is 3,6,12,24,48,96,192 To find the explicit formula. Solution: Here, we have a1=3…

Q: Find the formula of the Sequence. 1.) 2,1,3,4/3,15/4..., or 2, 2/2, 3/1, 4/3, 5(3)/4,...-

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Q: The first four terms of the sequence defined by An = nan-1+n'an-2, ao = 3, aj= 5 are ao = 3, a1 = 5,…

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Q: Find the sum of the first 90 terms of the arithmetic sequence with first term 10 and common…

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Q: A Diginacci sequence is created as follows. • The first two terms are any positive

A: Diginacci sequence

Q: The first ten terms of the Lucas sequence are 1, 3, 4, 7, 11, 18, 29, 47, 76, 123. The first term of…

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Q: Choose the best definition for the to llowing terI. Arithmetic sequence O For a sequence a1, a2, a3,…

A: Given to choose option makes a definition of arithmetic sequence

Q: The fourth term of a geometric sequence is 135 3645 and the seventh term is 4. Find the first 32…

A: Given :                     The fourth term of the geometric sequence is 1354 and seventhterm of…

Q: Decide whether the sequence 1, 2, 3, 4, 5, 6, 7,. is finite or infinite. ..... Choose the correct…

A: Given:      1 , 2 , 3 , 4 , 5 , 6 , 7 ........

Q: a. What would be the population size in 7 years. b. Fund the sum of the first eight terms of the…

A: Given; P0=5000 Rate=2%=0.02 the sum of the first eight terms of the sequence 18,-14,12,.... Formula…

Q: The first term of an arishmetic sequence is 5 and the common difference is 5 find the nth terms of…

A: The first term of an arithmetic sequence is 5. The common difference is 5. Formula: The n-th term of…

Q: Let Fib(n) be the nth term of the Fibonacci sequence, with Fib(1)=1, Fib(2)=1, Fib(3)=2, and so on.…

A: According to our guidelines we can solve only first question and rest can be reposted.Thank you

Q: find an and then sum of all the terms of the following sequence: 2, 1, 1/2, 1/4, 1/8, 1/16,...…

A: Check the sequence then write its nth term and their sum.

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.