A boy has written a sequence of consecutive natural numbers. The number of elements in the sequence is equal to the smallest element among them doubled and subtracted by 2. The arithmetic mean of the sequence is 12.5. What is the greatest written number?

Q: Use inductive reasoning to guess the next two numbers in the sequence:1, 2, 6, 15, 31, 56, . . .

A: Given sequence, 1, 2, 6, 15, 31, 56, ...

Q: List the first five terms of the sequence: An a1 = 5, an+1 An +1 ai a2 , a3 a4 and a5 = ||

A:

Q: A sequence for straight flush is five cards in a poker game. How many of them are possible in…

A: Given that, A sequence for straight flush is five cards in a poker game. We need to find the number…

Q: Which of the following is most likely to be the next number in the sequence below? 4, 5, 7, 10,…

A:

Q: Write down the first five terms of the sequence: (n + 4)! an 2" a2 = az = a4 = a5 =

A: Terms of squence

Q: Find the missing terms in the arithmetic sequence 2, a2, a3, 11

A:

Q: Decide whether the sequence is arithmetic. Explain?

A: Given sequence,                 3 ,6 ,12 ,24 ,48 ,....

Q: find a rule which describes the given numbers in the sequence 2. 1.1/8, 1/27, 1/64, 1/125..

A: Here is the solution:

Q: In Morse code, symbols are represented by variable-length sequences of dots and dashes. (For…

A: With a sequences of length 1 we can represent 2 symbols. With a sequence of length 2 we can…

Q: A fair coin is tossed 8 times. What is the number of possible sequences with at least two heads and…

A:

Q: Write the first six terms of the sequence. 1, an = an 1 +3

A: Consider the recursive rule for the sequence. Put n = 2 in the recursive rule and simplify to find…

Q: 27) Find the mean of the integers -54, -32, -70, -25, -65, -42 *

A: Mean=x1+x2+x3+.....+xnN        =ΣxiN

Q: List the first five terms of the sequence. 2n an n? + 1

A: To list the first five terms of the sequence: an=2nn2+1 Solution: an=2nn2+1 Substituting n=1 in an…

Q: Write the explicit formula for the sequence 12, 36, 108, 324

A:

Q: Predict the next number in the sequence, 2, 6, 12, 20, 30, 42, ___? (A) 52 (B) 54 (C) 56 (D) 58 (E)…

A: Given sequence of numbers is: 2, 6, 12, 20, 30, 42, .............. Here we have: 1st term = 2 2nd…

Q: List the first five terms of the sequence: n + 2 an Зп — 1 ai = a2 a3 a4 and a5 =

A: We need to find first five terms of sequence.

Q: List the first five terms of the sequence: an а1 — 6, An+1 an +1 a2 az = , a4 = and a5

A: Given a1=6 an+1=anan+1a2=a1+1(n=1)=a1a1+1=66+1=67a3=a2+1(n=2)=a2a2+1=6/76/7+1=613

Q: The statistician analyzed 5 data sets in 7 days. How many sets could the statistician analyze in 21…

A: 15 Data set

Q: List the first five terms of the sequence: 3(-1)" an n! and a5 ai a2 аз a4

A: Given sequence an= 3(-1)n/n! Now we have to find first five terms of sequence by putting n=1,2,3,4,5…

Q: the twelfth ,t12 in the sequence 43,37,31,25,..is

A: Given sequence,43 , 37 , 31 , 25 , .........To find: t12

Q: A sequence is defined by an = -5+ (n 1)14, where n is a positive integer. What is the value of a10?…

A: Given general formula for a sequence.

Q: n of the sequence -3, 2, 7, 12, ...?

A: S=-3,2,7,12....TnAbove sequence is an Arithmetic Progression a1=-3d=a2-a1=2-(-3)=5

Q: - You roll a six-sided number cube 270 times. Predict how many times you will roll a number less…

A: The numbers on a 6-sided cube are 1, 2, 3, 4, 5, 6. so 6 possible outcomes. So we will get a number…

Q: The first term is 3580, and the common difference is -19. Which term of the sequence is 2706? n =

A: The first term of an A.P. is  a1=3580 The common difference of an A.P. is  d=-19 To evaluate : the…

Q: Write the first five terms of the sequence. n°+1 an %3D n+1

A: Given, an = (n3+1)/(n+1)--------(1) Now, replacing n with 1 in equ(1), a1 = (13+1)/(1+1) => a1 =…

Q: Find a 17 in the sequence 5, -10, 20, -40 ...

A:

Q: Use inductive reasoning to predict the most probable next number in the given sequence: 13, -21, 34,…

A: Given query is to find the next number is the sequence.

Q: Find the sum of the even integers between 35 and 49. The sum is ...

A:

Q: A fair coin is tossed 8 times. What is the number of possible sequences with at least two heads and…

A: Given that the coin is fair, each toss is independent of each other. Considering each coin has the…

Q: Use inductive reasoning to predict the most probable next number in the given sequence: 1, 7, 17,…

A:

Q: 10 13 4, 10 ' 3 4) 5.

A: Basically, there are two rules that are the rule of addition or subtraction and the rule of…

Q: In the sequence 21,700, 23,172, 24,644, 26,116, . . . , which term is 314,628?

A: Given:21,700, 23,172, 24,644, 26,116.........3,14,628Term=?an=a1+n-1d

Q: Write the first 5 elements of the sequences: 1. a = 3k +4

A: Answer is here

Q: 3 5 7 12'34'56'78

A:

Q: 1 1 1 1 1 8. 1, 2 3'4 5'6

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

Q: what number comes next, given the pattern sequence 51,65,86,114,149

A: given the pattern sequence 51,65,86,114,149 Next number = ?

Q: identify the next sequence of the given.  1,1,2,3,5,8,13,__

A: Given: 1,1,2,3,5,8,13,__       To determine: next term of the given sequence

Q: If the mean of five values is 8.2 and four of the values are 6, 10, 7, and 12, find the fifth value

A: We know that, Mean =(summation Xi)/n Where n is sample size.

Q: Which arithmetic sequence has a common difference of -21?

A: To find the series

Q: is The sequence -

A: follow next step

Q: 0,1,4,9, .. * ***

A:

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 term named in the Arithmetic sequence. 32, 22, 12, 2, .. Find a28

A:

Q: ) Write the first five terms of the sequence a1 = 7,an+1 -2an + 3.

A:

Q: check if the sequence is increasing or decreasing or neither an=10n/n!

A:

Q: The sequence an= (8^n)/n is

A: an=8n/nthis is ∞∞ form therefore by L- hopital rulelimn→∞8nn=limn→∞8nln81=∞

Q: List the first five terms of the sequence. 3(-3)" an n! a2 = a3 = аз a4 a5 =

A: We have to find the first five terms of the sequence

Q: can a sequence be geometric and arithmetic?

A: Answer

Q: What is the twelfth term in the sequence an=3n-22

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.