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

Q: alculate the next term in the geometric sequence that is calculated with a ratio of 24 if the…

A: Definition used -                   Geometric sequence -                          It is a sequence…

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

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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 eight term in a geometric sequence with a second term 3 and fifth term 81/8, multiply with the…

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Q: In a sequence of 12 numbers, each term, except for the first one, is 12^11 less than the previous…

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Q: Construct the  The difference table of 9,4,3,12,37,84 to the next term of sequence?

A: The given sequence is 9, 4, 3, 12, 37, 84. Construct a difference table for the given sequence as…

Q: 11 and the 13" term, a,3, is equal to 33. Find the value of the 17t" For a given geometric sequence,…

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Q: Choose the sequence that has a first term of 6 and a difference of 9. O 6, 54, 486, 4374, 39,366,…

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Q: The first term of a geometric sequence is  1536 and the common ratio is 1 /2 . Which term of the…

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Q: The first four terms of a sequence are given: 23, 21, 19, 17..., find the 50th term of the sequence.

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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: Here is a rule to make a list of numbers: Each number is 4 less than 3 times the previous number. 1.…

A: Here is a rule to a  list  of numbers  Each  number  is  4 less than  3 timesthe    previous number.…

Q: A serie of number is : 1,3.7,15,31  What is the next number in the sequence?

A: The provided series of number is 1, 3, 7, 15, 31. The sequence used here is x×2+1 where x is the…

Q: If the 100th term of an arithmetic sequence is 691, and its common difference is 7, then its first…

A: nth term of an arithmetic sequence is given by, an = a1+ (n - 1)d  where a1 is first term and d is…

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

A: 1. The second term of a GP is 24 and the sixth term is 121.5.2. The given equation e5x=6

Q: A board is made up of 9 squares. A certain number of pennies is placed in each square, following a…

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Q: A row of houses will be built on the same street. The fourth house is numbered 200 and the last…

A: Here we solve problem based on arihmatic sequence.

Q: Since the order that the letters are picked matters, the number of possible sequences can be counted…

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Q: The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 9,…

A: Method -1 First term = 9 Second term = 9× 2 = 18 Third term = 18×2 = 36 Similarly, Fourth term = 36…

Q: Construct a difference table to predict the next term of each sequence. 9, 4, 3, 12, 37, 84, ...

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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: The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).…

A: We know that n th term in arithmetic progression is given as - an = a + (n-1) .d Here a is first…

Q: The 7th term of an arithmetic sequence is −44, and the common difference is −2. Find the first term.

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: The third term of a sequence is 64 while the seventh term is 4. Determine the sum of the first ten…

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Q: 4) The first term of an AP is 3 and the last term is 17. If the sum of all terms is 150, what is the…

A: see the attached image below

Q: Given a and b, suppose that three numbers are inserted between them so that the five numbers form a…

A: If the product of the three inserted number between a and b is 27  This product is the cube of the…

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: We will find out the required value.

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: If the sum of second and tenth terms of aritmetic sequence is equal to 12 , find sum of fourth,…

A: Given that the sum of second and tenth terms of arithmetic sequence is equal to 12.  Now in…

Q: The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 7,…

A:

Q: Since the order that the letters are picked matters, the number of possible sequences can be counted…

A: possible letters: i , l , n , s , u  -------(5) wish to form a four letter sequence ---------(4)…

Q: If the first two terms of a Fibonacci sequence are 20,77 then what is the next term

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Q: The sixth term of an arithmetic sequence is 28 and the ninth term is 36. Count the sum of the first…

A: We use the sum of an arithmetic sequence to answer the given question.

Q: Construct a difference table to predict the next term of the sequence. 1, 6, 17, 34, 57, 86, . . .

A: We will find difference between the given numbers to find a pattern. Then we can again find 2nd…

Q: if given the first 2 arithmetic sequence 7 and 3 How do I determine the eighteenth term

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

A: If the sequence is geometric, we will match it to its correct explicit formula, an. (i) 4, 6, 8, ...…

Q: what is the sequence of 28,26,24,22...

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

Q: 11. Given that term 1 is 17 and the common difference is 4, find the number of terms in the sequence…

A: It is given that the first term is, a1 = 17. The common difference is, d = 4. Let the number of…

Q: Find the 10th term of Lucas sequence. 1, 3, 4, 7, 11,... Please provide solution thank you

A: To find the 10th term of Lucas sequence

Q: A coin is flipped 10 times and the sequence of heads and tails recorded. In how many ways can a…

A: Here we need to use binomial distribution

Q: The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 9,…

A: We have to find the 46th term of given sequence.

Q: A sequence a1, a2, a3,.... satisfies the property that an+1 is the average of the first n terms if…

A: We have to find a2 .

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: If the sum of second and tenth terms of aritmetic sequence is equal to 12, find sum of fourth, sixth…

A: We will find out the required value.

Q: If the fifth term of a geometric sequence is 64/27 and the sixth term is 256/81 , find the sum of…

A: Let the G.P. is a, ar, ar2, ar3, . . .arn-1 Sum of first n terms is given by, Sn=a(rn-1)r-1, r>1…

Q: The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 2, 6,…

A: Given sequence,  2,6,18,... Recall:  Geometric sequence, a, ar, ar2,.... Where, a=first term,…

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: The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 7,…

A:

Q: Pick  any  two  nonzero  numbers.  Add  them  to  obtain  a  third  number.  Construct  a sequence…

A: A clear explanation is provided below.

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.