12 A petri dish is filled with 250 bacterial cultures. The number of bacteria in the dish triples every hour. Part A Enter a number in each box to represent the bacterial cultures for the first 5 hours as a numeric sequence. Part B How many bacterial culturers are in the dish after 8 hours?

Q: Find the first 6 terms of the sequence. 1. a, =n'+4

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: What is the 23rd term in the sequence: 2, 9, 16, 23, ...? A 198 B -152 156 110

A: The given sequence 2,9,16,23,........

Q: Determine the common difference, the fifth term, the nth term, and the 100th term of the arithmetic…

A: First term of arithmetic sequence (A.P.) = a1 = 6 Similarly, second term (a2) = 12 Third term (a3) =…

Q: 3) Find the next three terms and find the 300th term of the sequence 1, 5, 9, 13...

A: The sequence is given by 1, 5, 9, 13,....... Formula Used : an = a1+n-1d To evaluate : The next…

Q: Determine the common difference, the fifth term, the nth term, and the 100th term of the arithmetic…

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Q: Calculate the first four terms of the sequence, starting with n = 1. bị = -5 1 bn = bn-1 + bn–1…

A:

Q: 69 Find the formula for the nth term of the arithmetic sequence. 15 EGO 4, 11,.. 2

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Q: Write the first six terms of the sequence whose nth term is  (−1)n/(3n + 3).

A:

Q: Which of these describes how to use the number phi to find a term in the Fibonacci sequence?…

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Q: 21 + 63 + 105 + 147+...273 The sum of the sequence is

A: Use formula of arithmetic progression

Q: The first term is 25, and the common difference is 18. Which term of the sequence is 601?

A:

Q: 25. Jim has 8 unread emails in his inbox before going on vacation. While on vacation, Jim does not…

A: Given, Jim has 8 unread emails in his inbox before going on vacation. While, on vacation he receives…

Q: Show that the sequence is arithmetic. Find the common difference, and write out the first four…

A:

Q: Find the 9th term in the given sequence: {3, 9, 27, . . . } Write the answer and explain below

A: To Find the 9th term in the given sequence: {3, 9, 27, . . . }

Q: 3. Find the sum of the first 42 terms in this sequence: 6, –1, –8, –15, –22.... a. What is the first…

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Q: 5 2² Find the sum of the first 8 terms in the sequence 5, 10, 20,....

A: I am attaching image so that you understand each and every step.

Q: 2. Write an expression for the nth term of the sequence а) 2, 8, 14, 20 ... 1 1 1 b) 1, 4 ' 9 16

A:

Q: 11) Fill in the missing terms in the arithmetic sequence. 2, -_14, _ 23,

A: SOLUTION-

Q: Which of these describes how to use the number phi to find a term in the Fibonacci sequence?     A…

A: In a Fibonacci, Sequence,  φ=FnFn-1 ⇒Fn=φ×Fn-1 Hence , as per the above Illustration, Option(B) is…

Q: Find the first five terms of the sequence 2" -1 n 1, 2, 3, .. аn n2 1

A: Given: -

Q: (i) Find how many terms there are in the geometric sequence 8, 16, ..., 2048. (ii) Find the sum of…

A: (i) The given geometric sequence is 8, 16, ..., 2048. Evaluate the common ratio as follows.…

Q: 52. Find the sum of the first 60 terms of the sequence. {2, 10, 18, 26,...}

A: Solution:Given      the sum of the first 60 terms of the sequence{2,10, 18, 26,...}FormulaSn=n2…

Q: A sequence starts with 128, and every term value in the sequence is a product of the previous term…

A: Using previous sequence,

Q: 6n Write down the first five terms of the sequence an n + 10 a1 = a2 = az = a4 a5 =

A:

Q: Provide five pictures that exhibit the concept of Fibonacci Sequence and explain how the pictures…

A: The Fibonacci series is a special kind of series in which every next term is obtained by the sum of…

Q: 2: Assume that the patterns shown by the square tiles in the following figure continues. What is the…

A: By illustration of given figures we solve the given problem as follows:

Q: ijah find the sum of the fi

A: Yes Elijah find the sum of the first ten numbers in the Fibonacci sequence.. The step-by-step…

Q: Telephone Area Codes Several years ago, the United States began running out of telephone numbers.…

A: Given:  The telephone number has 7 digits.  (3 digit sequence + 4 digit sequence)  The first 3 digit…

Q: How many terms must be added in an arithmetic sequencewhose first term is 11 and whose common…

A: Sum=n22a+(n-1)d

Q: Write the first 4 terms of the sequence. a1 = 5, an = - 8• an -1+9, for n> 1 What is the first term?…

A: Given: a1=5, an=-8·an-1+9, for n>1 To find: First four terms of the sequence.

Q: rite a rule for the n​ th term of the geometric sequence. Then identify the first six terms o

A: Here we have fifth term of G.P = a5=162 The common ratio r=-3 Let first term =a

Q: a) Write down the missing terms in the following sequence: 13, 17, 21, 29, 37, - b) She continues…

A: The general form of an Arithmetic Progression(AP) is a, a + d, a + 2d, a + 3d where 'a' is the first…

Q: Write the first six terms of the sequence whose nth term is  (−1)n/(2n + 1).   a1  =    a2  =…

A:

Q: Find the 8th term in the sequence 18n-36.

A: Put n= 8

Q: Which arithmetic sequence has a common difference of -21? O (1,563; 1,587; 1,611; 1,635;...) (32,…

A: Common difference means subtraction of second term and first term

Q: B. Find the tenth term in each sequence. 1. -6, -2,0,1,2,... 2. 18, 14, 10,6,...

A: The given sequences, 1. -6,-2,0,1,32,...... 2. 18,14,10,6,.... we have to find tenth term of the…

Q: a2 az a4 a5 49. What is the nth-term formula for the number of square tiles in the nth figure? 50.…

A:

Q: ai a2 az a4 a5 43. What is the nth-term formula for the number of square tiles in the nth figure?…

A: Figure of the sequence of tiles are given

Q: Consider the sequence 41,52,63,74,…,11n-3. How many terms are there in the sequence? Your answer…

A: The given sequence is 41,52,63,74,...11n-3. The above sequence is a arithmetic sequence whose first…

Q: 1 na sequence, the first term is 4 and the common difference is 3. What is the fifth term of this…

A: Given first term of the sequence a = 4 common difference d = 3 the general expression for nth term…

Q: How many terms of the arithmetic sequence 2, 8, 14, 20, ... are required to give a sum of 660? Blank…

A: For the solution follow the next step.

Q: 7. In an arithmetic sequence, the first term is –7, while the sixth term is 23. a. Find the common…

A: Given :

Q: 4. Find the first five terms of the sequence in which the sixth term is 47 and twelfth term is 77.…

A: Given:Arithmetic progression  T6=a+5d=47  T12=a+11d=77   We have to find T5 = ?

Q: What is the twelfth term in the sequence an=3n-22

A:

Q: 5. The first term of an arithmetic sequence is 12, the last term is 120 and sum of the terms of the…

A:

Q: how many terms of the arithmetic series 10 + 8 + 6 +... will make the sum 24?instruction:all terms…

A: Topic - arithmetic Progression Sn = n(2a+(n-1)d/2

Q: a1 a2 az a4 a5 38. What is the nth-term formula for the number of square 39. How many tiles are in…

A:

Q: A petri dish is filled with 250 bacterial cultures. The number of bacteria in the dish triples every…

A: Topic- basic maths

Q: 2. Given the sequence: 1, 4, 9, 16, 25, .. what could be the 10th term?* c. 10000 d. 100000 a. 100…

A: This is a sequence problem so I used simple calculation to determine the 10th term of the given…

Q: a) The number pattern 1; 6; 19; 40 ; ... is represented below. Calculate Tn and then the 17th value…

A: Number pattern 1,6,19,40....For above pattern  the patttern we find is tn=4n2-7n+4put n=1 we get…

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.