The given pattern continues. Write down the nth term of the sequence {an} suggested by the pattern. 4, - 8,12, - 16. {an) = O

Q: 60, 30, 0, -30 ,.. This sequence is: Arithmetic, Geometric, Neither

A:

Q: e of 4,7,1

A: Introduction: A sequence is an arrangement of numbers in a specific order. A series, on the other…

Q: The first term of an arithmetic sequence is 5. The third term of the sequence is 13. Which of the…

A: Given,First term of AP = a = 5Third term of AP= 13Let, Second term of AP = xWe can write AP as - 5,…

Q: Find the sum of the first 9 terms of a geometric progression The sequence is: 4, 8, 16, 32...

A: Given that  The sequence is given  To find the sum of the first 9 terms of the geometric progress

Q: Write the first five terms of the sequence a1 = 3, an = -an-1 + 4. Assume that d represents the…

A: Given, first term a1=3 nth term an=-an-1+4.........(1)

Q: Find the values of x for which the sequence 6, x, 12, . . . is(a) arithmetic (b) geometric

A:

Q: 5 5 5 The nth term of the sequence is 2'5'8 11

A: Harmonic Progression: A Harmonic Progression (HP) is defined as a sequence of real numbers which is…

Q: Which recursive rule best describes the sequence -5, -3, -1, 1, O an = 2an-1 -4 O an 3an-1 8 O an =…

A: We will find out the required value.

Q: The given pattern continues. Write down the nth term of the sequence suggested by the pattern. - 4,…

A:

Q: Find the direct formula of a sequence given by 3, -6, 12, -24, 48... an = (-2)n-1 an = 3(-2)n an =…

A:

Q: Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, . .…

A:

Q: 3. Which of the following is a geometric sequence O 30, 15, 0, -15,.. O 3, 9, 27, 81,..

A: Option b is only in gp

Q: Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, ....)…

A:

Q: Write a rule for the n th term of the sequence. Then graph the first six terms of the sequence.…

A:

Q: Find a FORMULA for the general term an of the sequence {2, 20, 2, 20, 2, · · · } Assuming that the…

A: Given sequence is {2, 20, 2, 20, 2, · · · } The objective is to find the formula for the general…

Q: The given pattern continues. Write down the nth term of the sequence suggested by the pattern. 7,…

A: Given the pattern of terms  7, -7, 7, -7, 7, -7, 7, -7,..... Since here only sign changing as we…

Q: 6. Which of the given formulas for the general term of the sequence -12,-16, –20, –24, ... is…

A:

Q: The general term of a sequence is given and involves a factorial. Write the first four terms of the…

A: Given:            an=n+1!n2 We calculate first four terms of the sequence, n=1, 2, 3 and 4…

Q: Use a graphing calculator to find the first 10 terms of the 3 sequence an - n its 9th term is its…

A:

Q: Consider the sequence whose nth term is an = 4n - 3. Find a2 - a1, a3 - a2, a4 - a3, and a5 - a4.…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: An arithmetic sequence may have a positive or negative difference. In each of the following arithm…

A: We have to find common ratio

Q: Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, ....)…

A:

Q: 6. Which of the given formulas for the general term of the sequence -12, -16,-20, -24, ... is…

A: Find the nth term of given AP. -12,-16,-20,-24,......

Q: Find the indicated term of the geometric sequence. 3. 7th term of 3, 3 5 25 ... Enter the 7th term…

A:

Q: The given sequence is either an arithmetic or a geometric sequence. Find either the common…

A:

Q: The first three terms of an arithmetic sequence are as follows. 8, 1, -6 Find the next two terms of…

A: Given: a1=8,a2=1,a3=-6

Q: The nth term of a sequence is given. Find the first 4 terms. an 6n - 8 6, 4, 10, 16 -2, 20, 10, 32…

A:

Q: Write the first five terms of the geometric sequence a, based on the given information about the…

A: Given query is to find the first 5 terms of the sequence.

Q: 3 The sequence,,,,,... is a geometric progression.

A: A sequence an is a geometric progression if            an+1an=an+2an+1 for all n∈ℕ.

Q: The term a,6 of the sequence {an} given by (2 3 4 5'7'9' 11

A: Follow the procedure given below.

Q: Write an expression that gives the requested sum. The sum of the first 16 terms of the geometric…

A:

Q: Find the direct formula of a sequence given by 3, -6, 12, -24, 48.. An = (-2)n-1 an = 3(-2)n an =…

A: To find the direct formula of a sequence  3,-6,12,-24,48,.....

Q: Which of the following sequences represents an arithmetic sequence with a common difference d = -3?…

A:

Q: 12. Write a rule for the nth term of the arithmetic sequence: 8, 3, -2, -7, -12,.. an

A: To write the nth term of an arithmetic sequence.

Q: Predict the general term, or nth term, an, of the sequence. 6, 12, 18, 24, 30, ... an=0 (Simplify…

A: Given sequence: 6, 12, 18, 24,....To find: General term

Q: Which of the general terms listed describes the sequence below? 8, 5, 2, -1, -4, ... a) tn = 3n…

A:

Q: Predict the general term, or nth term, an, of the sequence. 3, 6, 9, 12, 15, ... an (Simplify your…

A:

Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A:

Q: Find the sum of the arithmetic sequence. 116, 110, 104, 98,.., 50 The sum of the given arithmetic…

A: The arithmetic sequence 116,110,104,98,.....,50. To find: Sum of the arithmetic sequence.

Q: 1. Choose the correct answer. What is the equation for the 9th term of the sequence given? -2.5,…

A:

Q: a) Write an equation for the nth term of the arithmetic sequence whose seventh term is 21 and has a…

A:

Q: Write an expression that gives the requested sum. The sum of the first 30 terms of the geometric…

A:

Q: The given sequence is either an arithmetic or a geometric sequence. Find either the common…

A: Q.6) Given sequence is : 4, -1, -6, -11, ............. This is an arithmetic progression -1-4 =…

Q: Use a graphing calculator to find the first 10 terms of the sequence an = 1/(an-1) and a1=15 its…

A: an+1=1an-1, a1=15 For, n=1 from the recurrence relation an+1=1an-1 we get  a2=1a1-1=115-1=114=0.07

Q: of

A:

Q: Write the first five terms of the sequence defined 3(-1)"+1 by the formula an- n+1 Your answer Find…

A: We know, the nth term of an arithmetic sequence is given by an = a+(n-1)·d where a is the first…

Q: the sequence an се

A:

Q: Find the values of x and y for which the sequence 2, x, y, 17, . . . is(a) arithmetic (b) geometric

A: 2, x, y, 17, . . .  We need to find the values of x and y for which the given sequence is (a)…

Q: The nth term of an arithmetic sequence is given. an = 1/2(n-3) (a) Find the first five terms of the…

A: Given:The nthterm of the arithmetic sequence is an=12(n-3)To find:a) we have to find the…

Q: Consider the sequence whose nth term is an = 4n - 3.Find a2 - a1, a3 - a2, a4 - a3, and a5 - a4.…

A: an=4n-3. Put n=1, 2, 3, 4, 5 in an=4n-3, we get a1=41-3=1a2=42-3=5a3=43-3=9a4=44-3=13a5=45-3=17

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.