How many terms are there in each of the following​ sequences?   a. 59​, 60​, 61​, 62​, ​..., 559

Q: How many terms does the sequence 12, 17, 22, 27, ..., 577 have? Note: a1 = 12.

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Q: How many four letter sequences are possible that use the letter a,b,c and d once each. ????

A: We have four different letters a, b, c and d. Our aim is to find the number of all possible…

Q: Consider the following sequence of towers of unit cubes. How many unit cubes are there in the nth…

A: First we will count the number of cubes in all the four diagrams. In Diagram 1: 1 cube In Diagram…

Q: Question 10 What is the next number in the sequence? 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, ... A) 89 B)…

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Q: a. 44, 45, 46, 47, ..., 544 b. 1, 4, 42, 43, 480 c. 100, 200, 300, 400,..., 3000 d. 1, 3, 9, 27, 81,…

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Q: 3.How many terms of succession -12, -7, -2, 3, 8, ... must be added up for the sum to be 105?

A: Arithmetic Sequence: A sequence is said to be Arithmetic if the difference between any two…

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: Consider the following AP sequences   I: -3, -7, -11, -15, … II: 3, 7, 11, 15, … III: -15, -11,…

A: Given sequence is in arithmetic progression Common difference 'd' of a sequence is given by (2nd…

Q: Given the following sequences, what are the next three terms? Write the formula for the sequence.…

A: A series in arithmetic is an enumerated series of objects wherein repetitions are accepted and order…

Q: 1. Find the next number in the following number sequences: a. 1.764 778 753 767 742 b. 13 14 18 27…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

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

A: We need to find in how many different ways two-letter sequences can be made by rearranging the…

Q: Use inductive reasoning to predict the next three terms in each sequence. Make a conjecture for the…

A: Note: We provide answer up-to three multiple subparts. Please resubmit the question which you would…

Q: 4. Give recursive formulas for the following sequences: A. 1,5,9, 13, 17, 21, .. B. 62, 31, 15.5,...

A: Explained below

Q: 7. What is the 15th term of the sequence -8,-11,-14,-17, ...? a. -44 b. -47 c. -50 d. -53

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Q: 1. Fill in the blanks: a) In the sequence 2, 6, 18, 54, 162, 486.. , the first term "a" is b) In the…

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Q: 1. How many terms are in the sequence -33, -26, -19, -12, …, 86

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Q: How many terms are there in each of the following​ sequences?   a. 36 ​,37 ​,38​, 39 ,​..., 336  b.​…

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Q: If in an arithmetic sequence az =800, a, = 6400, S, =32500, d=700, then the value of n is:

A: Given a2=800, an=6400, Sn=32500, d=700

Q: Find the missing values of the arithmetic sequence A) s-r , 2r+2s , 5r+3s ,6 , ….. B) 6, a-b , 2a+b…

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Q: 19. Consider the following sequence: 2, 4, 8, 16, _____ a. Determine the missing terms of the…

A: As per the guideline I am supposed to solve only first three subparts of the given problem. Consider…

Q: Given the following sequence is a geometric sequence. List the missing terms and find the explicit…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

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: How many terms are there in the sequence 1, 1/2, 1/4, 1/8, ..., 1/16,384? (Answer should be an…

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Q: What are the two missing terms in the following Fibonacci sequence? 5,__________, 13,

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Q: How many different seven-letter sequences can you make by rearranging the following 12 letters and…

A: A permutation is an arrangement of objects in a specific order  i.e. AB ≠ BA In Permutation order…

Q: The first six terms of the Fibonacci sequence are 1,1,2,3,5, and 8. 1. Write the first 12 terms of…

A: Fibonacci series goes like: xn=xn-1+xn-2The nth term of the series is sum of the previous two…

Q: A. Describe the pattern and supply the missing terms in each sequence. 1) 3,7,______,15,. 2)…

A: “Since you have posted multiple questions we will solve the first three subparts for you. To get the…

Q: a. 1, 5, 9, 13, ... b. 60, 90, 120, ... c. 1, 4, 16, ... 7 10

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost other parts as…

Q: How many four-letter sequences are possible that use the letters c, r, h, e once each?

A: According to the given information in this question We need to find that how many four letters…

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.