3. Consider the pattern manifested by the tiles below. az az a4 as (a) What is the nth-term formula for the number of tiles in the nth figure of the sequence (b) How many tiles are in the 10* figure of the sequence? (c) Which figure will consist of exactly 71 tiles?

Q: 5. What is meant by the index of a term of a sequence?

A:

Q: 1. How many terms are there in an arithmetic sequence with first term 10, common difference of 2,…

A: Note: As per our company's guidelines we are supposed to answer the first question only. Kindly ask…

Q: 16. Find the 20th term of a Fibonacci sequence.

A: Here we have to use the concept of the Fibonacci sequence.

Q: 4. What is the 11th term of the geometric sequence {1,000,000; 100,000; 10,000; ...}? O a11 = 0.100…

A: Here we find the 11th term in geometric sequence.

Q: True or False: There are infinitely many numbers in the Fibonacci sequence that are divisible by 4.

A:

Q: What is the sum of the 1st 11 terms in an arithmetic sequence whose 1st term is –40 and the 11th…

A: Since you have posted multiple questions and we can answer one question. So, answered first…

Q: A Fibonacci-type sequence begins with 4,3. Wrote the next 5 terms of the sequence.

A: Answer and explanation is given below...

Q: a2 az a5 46. What is the nth-term formula for the number of square tiles in the nth figure? 47. How…

A: These are sequence problems so I used simple algebraic operations to solve them.

Q: There are many examples of the Fibonacci sequence in nature. O True O False

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

Q: (a) What is the nth-term formula for the number of tiles in the nth figure of the sequence? (b) How…

A:

Q: 8. Use a difference table to predict the next term in the sequence. 1, 14, 51, 124, 245, 426, ...

A:

Q: 8. Find the number of terms of the finite arithmetic sequence {7, 16, 25, 34, ...,574}. Make sure to…

A: Explained below

Q: e2, e4, e6,e®,..

A: The given sequence is, e2, e4, e6, e8, … To determine whether the sequence is Arithmetic or…

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: 9. What is the sum of the first 15 terms of the arithmetic sequence -8, 7, 22, 37, . * O 202 O 1455…

A:

Q: Construct a difference table to predict the next two terms of the sequence

A:

Q: 1. What is the 21st term of the arithmetic sequence 19,14, 9, 4...? 2. Find three terms between 6…

A: according to our answering guidelines we can only answer 3 subparts at a time, rest you can repost…

Q: 7. Use a difference table to predict the next term in the sequence. 2, 7, 24, 59, 118, 207, ...

A: We can solve the given problem using the concept of sequence of difference table.     According to…

Q: Is the sequence an = 5 + 4n arithmetic? Your answer is (input yes or no): If your answer is yes, its…

A: Given an=5+4n

Q: 2.) Write the general formula for un for the arithmetic sequence 12, 4, –4, –12, ...

A:

Q: Predict the general term, or nth term, a, for the sequence. 12345 - - .... 6' 7' 8' 9' 10'* an

A: The 'nth' term of a sequence is a formula with 'n' in it which enables the evaluation of any term 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: What three numbers can be inserted between 81 and 16, so that  the five numbers form a geometric…

A:

Q: How many ordered sequences are possible that contain fourteen objects chosen from fifteen?

A: To find the order of sequence are possible.

Q: | 1. What are the first five terms in the recursive sequence defined by the following? = Ip An =…

A:

Q: A ternary digit is either 0, 1, or 2. How many sequences of nine ternary digits are possible…

A: The ternary digit is either 0 or 1 or 2.

Q: 5. What is the 100th term of the arithmetic sequence 8, 12, 16, 20...? * 108 O 396 O 404 O 408

A:

Q: c) How many 8-digit sequences are there involving exactly six different digits?

A: Given, the 8-digit sequences are there involving exactly six different digits

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: (6) In our discussion about Fibonacci sequence, we said that Fibonacci numbers occur in the species…

A:

Q: What is the fifteenth number in the Fibonacci sequence considering 1 as the first term?

A: To find:- Fifteenth number in Fibonacci sequence  Given 1 as first term

Q: Is the sequence an = 3 + 7n arithmetic? Your answer is (input yes or no): If your answer is yes, its…

A:

Q: (2) Identify the next likely term in the sequence and the type of sequence: 5000, 2000, 800, 320,…

A: 2. The required sequence can be solved as below

Q: In an arithmetic sequence a1, az2, .., an , if the first term is 5 and the common difference is 3,…

A:

Q: n a theatre, there are 15 seats in the first row, 19 seats in the second row, 23 seats in the third…

A: In a theatre, there are 15 seats in the first row19 seats in the second row.23 seats in the third…

Q: What is the partial sum of terms 12 to 15 of the arithmetic sequence 88, 75, 62, 49, ...? O 198 O-45…

A:

Q: Compute the missing terms in the arithmetic sequence. 72, **** 1)..., 24,

A:

Q: Is the sequence an = 6 + 3n arithmetic? Your answer is (input yes or no) if your answer is yes, its…

A:

Q: 6. Write an explicit formula for the geometric sequence 33, 99, 297, 891, ..

A:

Q: Find the sum of the finite arithmetic sequence. Sum of the integers from  −40 to 50

A: Given  Integer from -40 to 50

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: What is the recursive formula for the sequence? 4, 24, 216, 2592, 38880, .. a1 = 4, an = 3na,-1 ај 3…

A:

Q: Let the arithmetic sequence be defined by the formula un=11+(n - 1) x 6 Apply the concepts of the…

A: An arithmetic sequence is a set of numbers that obey a specific mathematical expression called its…

Q: 11. Determine the number of terms in the following sequence. 2, 6, 18, ... 1458 ......

A: Our Aim is to calculate the number of terms in the sequence given below:-2,6,18,.....,1458 -(i)

Q: 8. Find the missing term of the arithmetic sequence 22, 34, ... O46 O16 O28 O40

A:

Q: 15. Write the general formula in finding the sum of the terms of a FINITE geometric sequence.

A: We use concept of difference of sequence..

Q: What is the probability that a 10-digit ternary sequence (0, 1, 2) has exactly three O's?

A: In 10 digit ternary sequence a sequence of size of size 10 is constructed using 0,1 and 2 where each…

Q: 5. Construct a difference table to predict the next term of a sequence 1, 7, 17, 31, 49, 71,...

A:

Q: What is the 46th term in the triangular number sequence? Your answer

A:

Q: What is the generating function for the sequence {ck},where ck is the number of ways to make change…

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.