Consider the sequence 10, 11,13, 16, 20, 25, 31, 38, ...

Q: The first five terms of the sequence  are: 5,

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Q: Find the general form of the sequence (10,50, 250, 1250, ...).

A: Explained below

Q: Suppose we have the sequence 1, 4, 7, 10, ...

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Q: Which term of the arithmetic sequence 1, 6, 11, 16, . .is 241? It is the th term.

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Q: How many terms of the arithmetic sequence {1,3,5,7,...} will give a sum of 961?

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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: What is the next term of the given sequence: 1, -4, 9, -16, 25, -45 -19 O -36 O -25

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Q: 9) For the sequence 0,2,4,6,00., So. Calculate

A: Given, Sequence :  0, 2, 4, 6, . . .

Q: What is the geometric sequence of __,21,63,189,__

A: We know that a geometric sequence is a sequence of non-zero numbers where each term after the first…

Q: Which term of the arithmetic sequence 1, 9, 17, 25, ... is 345? It is the th term.

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Q: Find the next term of the sequence: 3, 6, 12, 24, 48,

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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: Which term of the sequence 9, 9.4, 9.8... is 17?

A: Given that :-   The sequence                            9 , 9.4 , 9.8  _ _  _ _ To find :- which…

Q: How many terms of the arithmetic sequence {2,4,6,8,...}will give a sum of 600?

A: The given arithmetic sequence is {2,4,6,8,.....} an the sum is 600 We know,

Q: 10. Determine the sum of the sequence 500, 497,494, ... 188,

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Q: Construct a difference table to predict the next term of the sequence.   10, 10, 12, 16, 22, 30,…

A: 10, 10, 12, 16, 22, 30;

Q: Construct a difference table to predict the next term of the sequence. 8, 1, −2, 2, 16, 43, . .

A: The next term of the sequence is obtained below: From the given information, 8, 1, –2, 2, 16, 43 ….…

Q: Identify the 7th term of the sequence: 4, 20, 100, .... * O 65,200 315,200 O 62,500 O 312,500

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

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

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Q: Write the explicit formula for the sequence 3, 7, 11, 15, 19, 23, ...

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Q: Consider the sequence: 17, 14, 11, 8, ..., find the 26th term of the sequence.

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Q: What is the next term for the sequence 1, 5, 11, 17, 33, 61, ...

A: The pattern in a sequence of numbers determines the next number in the pattern. The pattern is…

Q: What is the 10th term of the sequence 3, 9, 27, 81, ...?

A: Here the terms are with common ratio r =3 and they are in geometric progression. You can observe by…

Q: What are the next three terms of the sequence 256, 64, 16, 4, 1? O 1/4, 1/16,1/64 O -4, -16, -64 O…

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Q: Suppose I have a sequence; 3, 6, 9, 12,... Find the sum of the 6th, 12th, 18th, and 66th term please

A: SOLUTION-

Q: Construct a difference table to predict the next term of the sequence. 1, 8, 20, 37, 59, 86, . ..

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Q: 17. Determine the next 3 terms in the sequence: 22, 31, 40, 49, 58, ... O 67, 76,85 O64, 70, 76 60,…

A: given sequence is :22,31,40,49,58,... their same distance in all number  d=31-22=40-31=9 d=9

Q: Find the first term, a1, and the common difference, d, of the sequence. 13, 10, 7, 4, 1, ...

A: The given sequence is 13, 10, 7, 4, 1,.... So the first term is=a1= 13

Q: Find the first four terms of the following sequence. a, = 4, az = 4, a =an-1 +a-2. for n2 3 = (Type…

A: Topic = Sequence a3 =8

Q: What is a sequence?

A: A sequence is a list of things in order.

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: What is the 10th term in this sequence: 1, 3, 9, 27,...

A: Given,          The sequence is 1 , 3 , 9 , 27 ,.....We know that,          The general term of G.P…

Q: What is the 10th term in this sequence: 4, 8, 10, 12,..

A: Our Aim is to find the 10th term the sequence given below:-4,8,10,12,......-(i)

Q: i) Find the general form of the sequence (10,50, 250, 1250, ...).

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Q: Find the 8th term of each sequence. 4. 1, 2, 4, 8, 16, . 5. -6, -9, -12, -15, -18, ..

A: 4. 1,2,4,8,16 given series is geometric series  r=21r=2 Tn=arn-1Tn=1*(2)n-1…

Q: Consider a sequence of a numbers. 5, 6, 15, 50, 207,1040, 6275, 43938  What is the pattern and…

A: The objective is to state the pattern and the number that is not a part of the sequence 5, 6, 15,…

Q: Find the general of the sequence 8,8.5,9.0,9.5,...

A: Let general term of sequence an.

Q: : Which term of the sequence 4, 9, 14, 19..... is 124 ?

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Q: Find the nth term of a sequence 2,5,10,17,26, ...

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Q: Consider the sequence: 2, 4, 8, 16, 32, ...Determine the 13th term of the sequence.

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Q: Find the 12th term of the sequence 8,14,20,26

A: Given sequence is 8, 14, 20, 26. We have to find the 12th term of the given sequence. Here, 14-8=6…

Q: Construct the difference table to predict the next term in the sequence: 6, 9, 14, 26, 50, 91, 165 O…

A: Here, to construct the difference table to predict the next term in the sequence 6,9,14,26,50,91,__

Q: Provide a simple formula or rule that generates the terms of an integer sequence 2, 16, 54, 128,…

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Q: Which term has the value of 133.5 in the sequence (-1.5, 1, 3.5, 6. 8.5, ...)

A: The given sequence is an arithmetic sequence with common difference d = 1-(-1.5)= 2.5 , we want to…

Q: Find the next term in the sequence; 0, 10, 24, 56, 112, 190, ?

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Q: Use a difference table to predict the next term and formula in the sequence  1, 2, 6, 7, 21, 22,…

A: It is an important part of statistics as well as mathematics.  It forms a firm background for…

Q: Predict the next number in the sequence: 3/12, 5/34, 7/56, 9/78, ?

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Q: Construct a difference table to predict the next term of the sequence.   0, 10, 24, 56, 112, 190,…

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Q: Find the next term of the sequence: 4, 20, 100, 500, 2500,

A: Given To evaluate next term of series