(п + 1)! An n?

Q: In an arithmetic sequence a1, a2, ·.., an , if the first term is 4 and the common difference is 3,…

A: we use the formula of nth term an=a+(n-1)d.and solve the question. see 2nd step.

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: The second term of a GP is 24 and the sixth term is 121.5, the first term of the sequence will be A.…

A: Solve the following

Q: D) Find, with explanation, a sequence with two different starting terms which contains 5 consecutive…

A: Let the sequence be 2, 4, 6, 10, 16 That is  a0=2a1=4a3=2+4    =6a4=4+6    =10a5=6+10    =16

Q: (b) Define Sequence? Find the first five terms of the following. (-1)"-1.2"*+1

A:

Q: in an arithmetic sequence, the first term, a1, is equal to 1, and the seventh term, a7, is equal to…

A: The nth term of an arithmetic sequence is given by an = a1 + (n – 1)d where a1 is the first term and…

Q: Find the missing terms of the sequence and determine if the sequence is arithmetic,

A: Sequence is said to be geometric when it has common ratio and arithmetic when it has common…

Q: What is the sum of the 8 terms in a geometric sequence if the first term is 4 and the common ratio…

A:

Q: In a(n) _____  sequence, the ratio of successive termsis a constant.

A: A sequence in which ratio of successive terms is a constant is called a geometric sequence. Consider…

Q: The first term is 25, and the common difference is 18. Which term of the sequence is 601?

A:

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: Find the first term of an arithmetic sequence if the 9th term is 72 and the common difference is 5.…

A:

Q: In an arithmetic sequence , if a2 = –15 and az -34 , then the common difference d is %3D O 21 O -53…

A:

Q: Given the arithmetic sequence -9, -4, 1, 4, Which term has a value of 166? O 38 O 36 O 35 O 37

A: Given Arithmetic sequence = -9, -4, 1 ......... nth Term is given as 166

Q: In an arithmetic sequence a1, a2, ·.., an , if the first term is 7 and the common difference is 3,…

A: Given that in an arithmetic sequence  a1 , a2 .......... ,an.          First term is 7 and common…

Q: A sequence can be generated by using an = a (n – 1) + 29, where a1 = 46 and n is a whole number…

A: Since, we have been given up the sequence an=a(n-1)+29 where nis a whole number greater than 1.…

Q: A sequence is shown in the graph. (1,6) 2 (2, 3) (3, 1.5) (4, 0.75)

A: Given Figure :-

Q: The third term of a geometric sequence is 5, and the sixth term is -40. Find the eighth term.

A: The nth term of a geometric sequence is given by an=a1rn-1, where a1 is the first term of the…

Q: Given the sequence an defined recursively below, find a4. 3 а, %3D —За,-1 — а,-2 — 2 аn-2 — 2

A:

Q: An arithmetic sequence is given below. 18, 14, 10, 6, .. Write an explicit formula for the n th term…

A:

Q: The second term of a GP is 24 and the sixth term is 121.5, the first term of the sequence will be A.…

A: Second term in GP is ar=24   Sixth term in GP is ar5=121.5   Divide both the equations:…

Q: The given pattern continues. Write down the nth term of the sequence {an} suggested by the pattern.…

A: Consider the given pattern. 4,-8, 12, -16,...  It is an alternating sequence having negative even…

Q: The second term of a GP is 24 and the sixth term is 121.5, the first term of the sequence will be А.…

A: 1. The second term of a GP is 24 and the sixth term is 121.5.2. The given equation e5x=6

Q: Given an arithmetic sequence with d= -4 and a7 = 2, find a22. %3D a22 %3D

A: Given data is: d=-4 and a7=2

Q: In an arithmetic sequence , if a2 = -1 and -11 , then the common difference d is | 10 -10 -21 12 -13

A:

Q: An arithmetic sequence is given below. 18, 14, 10, 6, ... Write an explicit formula for the n th…

A: Given: An arithmetic sequence : 18,14,10,6, ... To find: An explicit formula for the nth  term an.

Q: An arithmetic sequence is given below. 16, 20, 24, 28, Write an explicit formula for the n th term…

A: Given query is to find the explicit formula for nth term.

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

A: we have to write the first four terms of the given sequence whose general term is given as an=n2n!

Q: Which of the following sequences is an arithmetic sequence? Select all correct answers.

A: We have to find the arithmetic sequences from the following sequences.

Q: Given the geometric sequence, find the 8th term: 4, –8, 16, –32, ...

A: The objective is to find the 8th term of the geometric sequence.

Q: The second term of a GP is 24 and the sixth term is 121.5, the first term of the sequence will be A.…

A: We will find out the required value.

Q: Use a₁ = 3 and r = -2 to find the term a7 in the sequence starting at a₁ with common ratio r.

A:

Q: Given that a is an arithmetic sequence, a1=6 and a10=60, what is a21?

A: Given arithmetic sequence in which we have a1=6 and a10=60. To find: a21 Solution: In arithmetic…

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

A: 3, -6, 9, -12, .... From this series we see that each term is a multiple of 3. In fact the nth term…

Q: Find the 60th term of the sequence 5, -2,-9,-16,... O a-478 O b.non of them

A: Here given as 5, -2, -9, -16, ...... The first term of sequence is a1=5, Also the common difference…

Q: In an arithmetic sequence the ratio of the third to the eight term is 6:1 and the sum of the third…

A:

Q: Show that the given sequence is arithmetic, and find the common difference.53, 48, 43, . . . , 58 -…

A:

Q: Given the sequence 16, 11, 6, 1, -4 .. Represent the sequence as a table.

A: The given sequence is 16, 11, 6, 1, -4, …. Thus, the first term is 16, second term is 11, third term…

Q: The general term of a sequence is given an = -2(n - 1)! and involves a factorial. Write the first…

A:

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

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

Q: An arithmetic sequence is given below. 20, 15, 10, 5, ... Write an explicit formula for the n th…

A:

Q: GIven arithmetic sequence with ap=3 and an ar--49.Eind an 31 and Lan h=1

A:

Q: What is the common ratio, a1, a2, a3, and a4 of this geometric sequence: {(7^(n-2))/3}

A: Consider the provided geometric sequence,

Q: In the arithmetic sequence 7,23/3,25/3,…, which term is 51?

A: The given arithmetic sequence is 7, 233,253 where  first term a = 7              common difference d…

Q: If a=36 and r is greater than 1, will the terms in the sequence get bigger or smaller?

A:

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

A: The general term of a sequence is given as ,an=n2n!. To find the first four terms of the given…

Q: In the sequence {1,5,9,13,17,} which term is a3?

A:

Q: Look at the pattern and then predict the general term, or nth term, an, of the sequence. -3,6, -9,…

A: Observe the series and determine the an of the sequence.

Q: The common factor of the geometric sequence an= 3.53n is the first term of the arithmetic sequence…

A: Solution-

Q: and determine if the sequence is arithmetic, geometric, or neither 1/3, 1,3,9

A: In this question we will use basic of algebra i.e concept of sequence and series. Solution of the…

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.