The sequence an starts with a0 = 1, a1 = x, a2 = x2/2, a3= x3/6, a4 = x4/24, a5 = x5/120, . . . a.) What is the next term in the sequence? a6 =? b.) What is the (n)th term in the sequence

Q: The general term of the Fibonacci sequence is: A) F.-V6((노)"+ (부)) 1+v5 B) F.-V6((누무)"-(부부))…

A: Let Fn  be the Fibonacci sequence.

Q: The first eight terms of a sequence are as follows: 2, 6, 12, 20, 30, 42, 56, 72, Find a closed…

A:

Q: Find the 11th term of the harmonic sequence1/5,1/8/1/11,1/14,. . .

A: harmonic progression is 1arithmetic progression the given series has a pattern of = 13+previous term…

Q: .A sequence can be generated by using an = a(n-1) + 6, where a = 3 and n is a whole number greater…

A: The given sequence is an=an-1+6 where a1=3. Put n = 2,  a2=a1+6=3+6=9 Put n = 3, a3=a2+6=9+6=15 Put…

Q: Fibonacci sequence

A:

Q: Can you find a formula or rule for the nth term of a se- quence related to the prime numbers or…

A: The formula for nth term of sequence for given problems are given in step 2.

Q: A tribonacci type sequence begins 1,2,1, wrote the next five terms of the sequence.

A: Tribonacci series

Q: A sequence can be generated by using an = 3a (n – 1), where a1 = 5 and n is a whole number greater…

A: Given,     an=3an-1,  where  a1=5 and n is whole number greater than 1.

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: The general term of the sequence 1, 2' 4'8' - , starting by n=0 is +00 n=0 +00 (ii n=0 (iii)None of…

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

Q: ind the 85th term of the arithmetic sequence with first term 1 and common difference -1/2

A: As we know that the expression for the nth term of the arithmetic sequence is: Tn=a+n-1d Where 'a'…

Q: The Fibonacci number is a sequence which is described explicitly by Fn = Fn-1 + Fn-2-

A: Given statement is The Fibonacci number is a sequence which is described explicitly by  Fn = Fn-1 +…

Q: 4. Give a recursive definition of the sequence an if an = n(n+1), where n = 1, 2, 3, ... %3D

A: We have to give a recursive definition of the sequence an where an=  n(n+1) for n= 1,2,3,....

Q: The formula for a sequence is 2n+3 where n=1,2,3... Show the first four terms of the sequence

A:

Q: Determine whether sequence having the given nth term is monotonic           bn = 2n /(1 + n)

A: Given sequence is bn=2n1+n A sequence is monotonic if it either increasing or decreasing through out…

Q: 5. The base of a right triangle right triangle is equal equal to the sum of the first ten,…

A: We need to find area, perimeter, hypotenuse.

Q: Use differences to find a pattern in the sequence. 0, 14, 76, 236, 568, 1170, 2164 Assuming that the…

A: Given; 0, 14, 76, 236, 568, 1170, 2164 To Find: To identify the pattern and then to find the eighth…

Q: the sequence {12, 4, −4, −12, −20, } assuming that the pattern

A:

Q: 17th term of the sequence 7,4, 1,......

A: For part (1) We have to find out the 17th term of the given sequence.

Q: The third term of a sequence is 64 while the seventh term is 4. Determine the sum of the first ten…

A:

Q: Find the first 10 terms of the sequence an Зп + 2. its 9th term is its 10th term is

A: Given that

Q: Find a formula for the general term, an, of the sequence 8 4, 3 12 16 20 - - 9'27' 81

A:

Q: Consider the sequence: 17, 14, 11, 8, ..., find the 26th term of the sequence.

A:

Q: The sequence 2, 6, 24, 120, . . .  is an example of a geometric sequence.Determine whether the…

A: Consider the given sequence 2, 6, 24, 120,.....

Q: In the sequence 4, 9, 14, 19, 24, 29,......n. Determine the recursive formula for the given sequence…

A:

Q: The table below identifies the values for the first 5 terms in an arithmetic sequence. 1. Term…

A:

Q: What three numbers can be inserted between 81 and 16, so that  the five numbers form a geometric…

A:

Q: What new realizations do you have about finding the nth term of the arithmetic sequence ang finding…

A: Let AS denote arithmetic sequence.

Q: Choose an expression for the apparent nth term of the sequence. Assume that n begins with 1. 1,-1,…

A: Given sequence 1 , -1  , 1 , -1 ,  1 ,  . . . . . .

Q: Ind the first four terms of the sequence given by the following. q=(-1)^2n², n = 1, 2, 3, ...

A: Topic:- sequence and series Given Sequence is     an=-1n.2n2.

Q: 4. Find the value of x so that x+7, -x-1, x+ 13,.. shall form a geometric sequence.

A:

Q: d. If the chosen sequence has a finite number of terms and its sum i are there? e. Express the…

A:

Q: Determine if the sequence is a geometric sequence. If it is, find the common ratio and write the…

A: Given: A sequence: 294,42, 6,6/7,.................................. To find: If sequence is…

Q: A. what is the 3rd term of the sequence defined by an=(-2n)n? B. What is the sum of the sequence…

A:

Q: Find the formula of the Sequence. 1.) 2,1,3,4/3,15/4..., or 2, 2/2, 3/1, 4/3, 5(3)/4,...-

A:

Q: An arithmetic sequence has first term aj = 1 and fourth term a4 = 16. How many terms of this…

A:

Q: An arithmetic sequence has a common difference equal to 10 and its 6th term is equal to 52. Find its…

A:

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

A:

Q: How many terms must be taken from the sequence (-16, 14, 12, ...) starting from the first term so…

A:

Q: 1.) Show that the sequence 2,11, 20, 29, ... is arithmetic.

A: we have to show that the given sequence is arithmetic

Q: Find the 70th term of the arithmetic sequence 18, 34, 50,

A: Given,           The arithmetic sequence is 18, 34, 50.....and so on.

Q: Find the sum of the first 150 terms of the arithimetic sequence 6,9/2,3,........

A:

Q: The fourth term of a geometric sequence is 135 3645 and the seventh term is 4. Find the first 32…

A: Given :                     The fourth term of the geometric sequence is 1354 and seventhterm of…

Q: The twentieth term of sequence an = %3D 11+1

A: Here is the solution:

Q: Find the 36th term of the arithimetic sequence with third term 10 and eight term 25?

A:

Q: Which recursive rule describes the sequence 3, 7, 11, 15, ... ?

A: First we have to find out 1st term and common difference.

Q: Give the first five terms of the sequence: a, = n° -2n %3D

A: Given,           The sequence is an=n3-2n.

Q: 2. Write a recursive definition for the sequence 14, 10, 6, 2,... Oaj = 14, an = an-1+4 %3D Oa = 2,…

A: To write a recursive defintion for the sequence 14, 10, 6, 2, ...

Q: Find the sum of the first n terms of the arithmetic sequence.−9 + (−12) + (−15)+ ... (to 10 terms)…

A: It is an arithmetic series with  Now sum of the first n terms is,

Q: In two or more complete sentences, explain whether the sequence is finite or infinite. Describe the…

A: In two or more complete sentences, we have to explain whether the sequence is finite or infinite.…

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.