A sequence is shown below. 28, 56, 112, 224. Which statement is true? O A The sequence is arithmetic because the difference between the numbers is constant. O B. The sequence is arithmetic because the numbers are being multiplied by 2. OC The sequence is geometric because the numbers are being multiplied by 2. O D. The sequence is geometric because the difference between the numbers is constant.

Q: . Calculate the sum 6+9+12+...+291. . In an arithmetic sequence a₁2 =108 and a25 = 30. Find $25 and…

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Q: Use inductive reasoning to predict the next two numbers in each sequence.

A: Given: S1=15,30,45,60......, S2=100,-10,1,-110 We know that given first sequence is a arithmetic…

Q: a + b . Arithmetic Mean If a < b, show that a < 2 < b. The a +b number - is called the arithmetic…

A: Add a to both sides of a&lt;b and simplify to get 2a&lt;a+b. Then, add b to both sides of a&lt;b and…

Q: Find the number of terms in the sequence and find sn. 11, 13, 15, 17,..., 43 n || Sn =

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Q: 1. In the sequence 1, 5, -8, -2, -30, -20, and -78. Explain and identify the rule pattern of this…

A: Sol:- The sequence appears to alternate between positive and negative values. One possible rule…

Q: HANDWRITTEN

A: Lenght = a(rn-1)(r-1)where, a=3, r=2 and n=9L = 3(29-1)(2-1)=1536Widht = sum of first 8 consecutive…

Q: 2. Add using a number line. 1+6 Graph the point at the sum of 1 and 6. + 12 + 13 1 2 3 8 9. 10 11 14…

A: Given 1+6

Q: B. Solve as indicated. Use a separate sheet of paper, if necessary. 1. In the arithmetic sequence…

A: 1. We are given an arithmetic sequence.      Here, first term is a = -8 and the common difference is…

Q: Use differences to find a pattern in the sequence. 2, 11, 25, 53, 104, 187, 311 Assuming that the…

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Q: 2. 81 + 27 + 9+ •…·+ 81

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Q: Determine the sum of the first 600 whole numbers. 1 + 2 + 3 + ... + 599 + 600  = ______. (Hint: Use…

A: using formula,

Q: 5. Find the sum of the sequence below. 2 +6+10+... 106

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Q: 1+ 3+6+ 10 + 15 + 21+ …+55 ...

A: Recall: Triangular number sequence:   1,3,6,10,15,21,28,36,45,55,....

Q: Use inductive reasoning to find a pattern, and then make a reasonable conjecture for the next number…

A: Introduction: The given number sequence is: 2, 4, 8, 14, 22, 32, 44, 58.

Q: Directions: Study the sequence of numbers. Look for a pattern and supply the next three terms, and…

A: First sequence is  (18*k - k)  So next three terms will be  (18*5 - 5)= 85 (18*6 - 6)=  102 (18*7 -…

Q: The circumference of a circle is the ten terms of the arithmetic sequence 2,8,14. Find the area and…

A: Here, the circumference of the circle is the 10th term of the arithmetic sequence: 2,8,14,... which…

Q: a. The following sequence is geometric, determine the next number in the sequence. 3, 15, b. The…

A: Given- a. 3,15, and b. 3,7,  To Find- Next term of the sequence a. if the given sequence is…

Q: 2. A diagonal of polygon is a line segment that connects vertices (corners) of the polygon.…

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Q: Given are the first three terms of a sequence that is either arithmetic or geometric. If the…

A: Given that the first three terms of a sequence i.e.…

Q: Use the pigeonhole principle to show that there is a multiple of 691 whose digits are Os and 1s.…

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Q: The 2nd, 31st and last term of A.P. are 7 3,1 and – 6, respectively. Find the first term and 4 2 the…

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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.