A math student draws 4 different triangles and measures each of the three angles contained in the triangles. When she adds up the angle measures in each triangle, she gets a sum of 180 degrees. The student concludes that the sum of the angle measures in every triangle add up to 180 degrees. Is

Q: In an arithmetic sequence a1, a2,, an, if the first term is 7 and the common difference is 6, then…

A: here option C is true

Q: 2. How many different 6 letter strings can we make with only the letters J, E, R, M, Y, given the…

A: We have to use proper permutations and combinations.

Q: The first four terms of a sequence are given. Determine whether these terms can be the terms of a…

A: sequence is 1, 45,89,133.....

Q: Use inductive reasoning to determine the next two terms in the sequence: A , 6 , D , 16 , H , 46 ,…

A: The inductive reasoning is a type of reasoning in which we draw conclusion from the given data.…

Q: Dominique bought a block of basketball tickets numbered consecutively from 47 to 117. an = ?   How…

A: Definition used -         the nth term of an arithmetic sequence -…

Q: Consider the sequence c= {3, –12, 48, – 192, 768, ..} - | a. What is the common ratio? b. What are…

A:

Q: 3. It is given that p, q, r, s, t are in arithmetic sequence. If p+q+r=9 and s+t= 26, find the (a)…

A:

Q: Choose the appropriate response for each question using the sequence 3 An+1 an and aj = 6 2 This is…

A: Given the sequence is an+1=32an          .......(1)

Q: In geometric sequence a1, a2,, an , if a2 = 44 and a4 = 176, then the common ratio is O 8 1 4 3. O 2

A: Given that in a geometric sequence  a2  = 44 And  a4 = 176  We need to find common ratio . As we…

Q: 1. Consider the sequence a = {9, 18, 36, 72, 144, ...} a. What is the common ratio? b. What are the…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 11. An egg vendor broke all the eggs that he was delivering to a local store. He could not remember…

A:

Q: 5. Use inductive reasoning to predict the next pattern, as, of the sequence a3 a4 a2

A:

Q: In an arithmetic sequence a1, a2, ·.., an , if the first term is 7 and the common difference is 3,…

A: Given that in an arithmetic sequence  a1 , a2 .......... ,an.          First term is 7 and common…

Q: What are the terms a₀, a₁, a₂, and a₃ of the sequence {aₙ}, where aₙ equals  a) 2^n + 1? b) (n +…

A: Since you have posted multipart question and we can answer three subparts. So, answered the first…

Q: Use inductive reasoning to guess the next three terms in the give sequences. 1. 8, 11, 14, 17, 20,…

A: The solution of above question is written below.

Q: How many different three-letter sequences can you make by rearranging the letters {J,A,C,K}?…

A: If we have so many things then we arrange those in a certain order, or without order. But we arrange…

Q: Use inductive reasoning to predict the next term in the sequence: 3, 4, 7, 11, 18, 29

A: Given sequence is 3, 4, 7, 11, 18, 29 We can observe that each term after the 2nd term in the…

Q: 16. (a) Fill in the blanks to continue this dot sequence in the most likely way. ::. : 2 (b) What…

A: Given: The dot sequence,

Q: Through inspection, what would be the next number on the sequence 1, 14, 51, 124, 245, 426, …?    A.…

A:

Q: 2. Investigate the sequence of triangles: a. How many dots are needed to draw the 5th triangle? the…

A: The 1st triangle has 1 dot. The 2nd triangle has (1+2=)3 dots. The 3rd triangle has (1+2+3=)6 dots.…

Q: , 19, 23, ? 1, 5, 12, 22, 35, ?

A: 1. The number series is given as, 3, 7, 11, 15, 19, 23, ? Finding the common difference ,…

Q: - The terms of the sequence are 3 3 3 then S4 %3D 4'16'64' 256

A:

Q: In geometric sequence a1, a2, , an , if a2 = 140 and a4 is 3500, then the common ratio 4 O 5 O 25…

A:

Q: (Lesson 29) Which is the correct formula for the sequence 5, 5.5, 6, 6.5,...? Aan = 5 (n-1) (0.5) an…

A: Given sequence =5,5.5,6.6.5,.....   Given sequence is Arithmetic Progession    as each term…

Q: Use inductive reasoning to predict the next three terms in the sequence :13, 31, 15, 51, 17, 71, 19,…

A: Given the sequence : 13, 31, 15, 51, 17, 71, 19, 91 Find the next three terms of the given sequence.

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: A sequence is shown below. 28, 56, 112, 224. Which statement is true? O A The sequence is arithmetic…

A: Given, sequence  => 28 , 56 , 112 , 224

Q: Given the sequence 6, -12,24, -48, ..., determine a) t15 6. b) S15

A:

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: iven the pattern 12,6,0... Determine the formula for the n(the) term in the sequen

A: To determine the formula for the nth term for the below sequence. 12, 6, 0, ....

Q: Given the sequence of "-2, -5,-8,-11, ...". Determine the sum of its first 20 terms. -590 O None of…

A:

Q: Given 1. In the sequence 0 ,-5, -10, -15, what is the 3rd term? 2. If az = -3, d= 4, what is the 1*…

A: AP

Q: 2) Femi uses sticks of the same length to create a sequence of square in the pattem as shown below…

A: As you have posted 2 different questions. As per the guidelines followed by BARTEBLY only first…

Q: you recive 5 cents on the first day of the year, 15 cents on the second day, 25 on the third day,…

A: On first day , money received is 5 cents,  On second day, money received is 15 cents, On third day,…

Q: Telephone Numbers   In the past, a local telephone number in a country consisted of a sequence of…

A: Given, a local telephone number in a country consisted of a sequence of four letters followed by…

Q: 1. Consider the sequence a = = {3,15, 75, 375, 1875, ...} a. What is the common ratio? b. What are…

A:

Q: 16. (a) Fill in the blanks to continue this dot sequence in the most likely way. 1 , 2 (b) What…

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

Q: 14. Assume that the pattern shown by the tiles below continues. How many square tiles are in the…

A:

Q: Which ones are arithmetic sequences?

A:

Q: GIven arithmetic sequence with ap=3 and an ar--49.Eind an 31 and Lan h=1

A:

Q: + Write an argument to show the sequence is strictly monotone. n n=1

A: Given a sequence n+1nn=1∞ an=n+1nan+1=n+2n+1

Q: You are asked find 6th ,and 7th  term in the sequence 1,3,6,10,15 ______________ What would it be?…

A: To find the 6th and 7th term in the sequence 1,3,6,10,15... and to explain it.

Q: A problem in Mrs. Schrader's geometry class has seven steps in the proof. She writes the steps, one…

A: A problem in Mrs. Schrader's geometry class has seven steps in the proof. She writes the steps,…

Q: You are having a discussion about sequences with a classmate. He insists that the sequence…

A: Let's find.

Q: If a sequence has 6 letters with each letter either A or B, how many sequences have more As than B…

A: Using definition of combination, no.of such sequences obtained

Q: a. ) The four children in the Rivera family are Reynaldo, Ramiro, Shakira, and Sasha. Determine the…

A: It is given that the four children in the Rivera family are- Reynaldo, Ramiro, Shakira, and Sasha.…

Q: The four children in the Rivera family are Reynaldo, Ramiro, Shakira, and Sasha. Determine the age…

A: Solutions

Q: If you flip a coin 9 times, you get a sequence of Heads (H) and tails (T). (a) How many different…

A: Product rule : If one event can occur in m ways AND a second event can occur in n ways , then the…

Q: Write SEQ if the given item is a sequence, and write SER if it is a series. (a) 1, 2, 4, 8,...…

A: Initially let's have a discussion about the difference between sequence and series Sequence is…

Q: Given the following three sequences: 4 I. 2, 4, 6, 8, 10. II. 2, 4, 8, 16, 32... III. a, a+ 2, a +…

A:

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.