Consider the sequence of perfect squares that begins 1, 4, 9, 16, 25, 36, .... Think carefully about the relationship between the term's position and its value. For example, since az = term position n = 3 and the term value az = 9? Does this hold for all terms? 9, what is the relationship between the a. Complete the following explicit formula representing the term values in this sequence by writing an expression in terms of n. * Preview b. Complete each of the following statements using your explicit formula. a6 = 36 Preview a16 Preview c. Complete each of the following statements using your explicit formula. If an 169, then n = *. Preview If an 900, then n = Preview *.

Q: Find the explicit formula for this polynomial sequence: 3, 24, 79, 180, 339, 568, 879, ..

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

Q: Find a number that provides a counterexample to show that this statement; "For all real numbers x, x…

A:

Q: given the sequence write the recursive and explicit rule  -20, -16, -12, -8, -4

A: Find the relation between the terms with their preceding terms and determine the recursive rule for…

Q: Find the sum of the first 15 terms of the arithmeticsequence with first term -4 and common…

A: Consider the given information as a=-4 and d=2

Q: Find the sum of first 24 terms of the list of numbers whose nth term is a, = 3 + 2n

A: Introduction :

Q: The sequence a,= 8, 13, 18, 23, ...is the same as the sequence a = 8, an= a,1+5. A. True B. False

A: The sequence an=8, 13, 18, 23,.......is the same as the sequence a1=8, an=an-1+5

Q: determine the closed formula that generates the sequence 1,2,4,8,16,32

A: The given sequence in the question is:

Q: Find rule for sequence: 1/6, 3/8, 9/10, 27/12, 81/14

A: 1/6, 3/8, 9/10, 27/12, 81/14

Q: Derive an expression for the sum of the first n positive even integers.

A: We Use the A.P series. Find The sum of the first n positive even integer.

Q: The sequence 8, 32, 128, 512, … represents the number of sit-ups Billy did during each workout…

A: Given, 8,32,128,512... Recursive rule means using previous number to get the next sequence number.…

Q: What is the sequence of 1,3,7,15,31

A: Given query is to find the sequence.

Q: what notation is used in sequences and functions?

A: To define: Notations used in sequences and functions.

Q: Find the sum of all integers that are multiples of 3 from 4 to 100.

A: We have to find the sum of all integers that are multiples of 3 from 4 to 100 Then, If A denotes the…

Q: Use polynomial fitting to find the formula for the nth term of the sequence (an)n>0 which starts, 0,…

A: Given: The given sequence is as follows: 0, 1, 6, 15, 28, 45,... Objective: The objective is to find…

Q: Write the next term and write a rule for the nth of the sequence -5,-10,-15,-20

A:

Q: Find for the sum of the first 70 multiples of 3.

A:

Q: I need helpzzz on thiszzz($)(((

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Find all triples of squares of natural numbers in arithmetic progression such that b2-a2=c2-b2.

A: Find all triples of squares of natural numbers in arithmetic progression such that b2-a2=c2-b2

Q: For the sequence 1,7,25,79,241,727dots simple formula for {an} is

A:

Q: Find the sum of the first 20 positive even integers.

A:

Q: What is a sequence?

A: A sequence is a list of things in order.

Q: Use polynomial fitting to find the formula for the nth term of the sequence (an)nzo which starts,…

A: The sequence is  0, 8, 20, 36, 56, 80, . . .

Q: Can you use polynomial fitting to find the formula for the nth term of the sequence 4, 7, 11, 18,…

A: No. The sequence of differences is the same as the original sequence so no differences will be…

Q: Sqq2DoRYrVZFLCTHhNWnXGY9g9uiznv27csfkWVKpS7A/viewform F.6 Write an equation for the nth term of the…

A:

Q: Find the sum 3 + 6 + 12 + 24 + ... + 3(2)^10

A: The given series is 3+6+12+24+...+3(2)10.

Q: I NEEDSSSSSS HELPPLZZZZ(:):(

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.