7. {-}-r} 6. 6, 12, 36, 144, ... n 8. -2, – 10, – 18, –26, ... 9. 8 10. 25, 10, 4, 2n – 31 11. 2n + 1 lin

Q: If the first term of a sequence is 4.5 and the common

A: Here we have to find the first 6 terms of the sequence where first term is 4.5 and common difference…

Q: 5. What is meant by the index of a term of a sequence?

A:

Q: 5. The sum of the first n terms of a sequence is called the nth sum and is denoted by S.

A: An arithmetic sequence is a series of numbers that have the same common difference and the sum of…

Q: (4) Find the sum of the sequence in (2) to an infinite number of terms.

A: identify the series

Q: 4. What is the 11th term of the geometric sequence {1,000,000; 100,000; 10,000; ...}? O a11 = 0.100…

A: Here we find the 11th term in geometric sequence.

Q: For the sequence defined by: ai = 3 1 + 4 An ап +1

A:

Q: Find the indicated sum of the problem. 1. -54 + 18 - 6 +2 + ... , S9  2. Find the sum of the first…

A:

Q: If the 100th term of an arithmetic sequence is 200, and its common difference is 2, then its first…

A: Given an arithmetic sequence100th term of this A.P=a100=200common  difference=d=2

Q: Find the sum of the finite geometric sequence. E(-3)" - (-3)" – 1 n-1

A:

Q: In week 1, 4 persons were infected by a virus, 16 persons in week 2, 36 in week 3, and 64 in week 4.…

A: Given that, In week 1, 4 persons were infected by a virus so consider a1=4 In week 2, 16 persons…

Q: Find the first six terms of the recursive sequence. a1 = -3, an = an-1 + 8 %3D O -3, 5, 13, 21, 29,…

A:

Q: 3 if it exists. 8 Find the infinite sum of the geometric sequence with a = - 5, r = |

A:

Q: The first four terms of the sequence defined by An — пар-1 + п*a,-2, do — 3, а1 = 3, a1 = 4 are ao =…

A:

Q: In Problems 31–38, find the first term and the common difference of the arithmetic sequence…

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

Q: Find the sum (to the nearest hundredth) of the first 17 terms of the sequence defined by the…

A:

Q: In Problems 69–82, determine whether the given sequence is arithmetic, geometric, or neither. If the…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: If an+1 4a, is the difference equation for a sequence which begins with ao = 2 then what are each of…

A:

Q: 4. A population of flies grow in such a way that each generation is 2 times the previous generation.…

A: given , A population of flies grow in such a way that each generation is 2 times the previous…

Q: True or False For a geometric sequence with first term aj and common ratio r, where r + 0, r + 1,…

A: Let geometric sequence is a1,a1r,a1r2,a1r3...........a1rn-1 where a1 is the common difference and r=…

Q: Find the sum of the finite geometric sequence whose first term is 1.2, whose ratio is 0.5, and which…

A: Topic:- sum of GP

Q: 3 What is the sum of the geometric series

A:

Q: If the common difference of an Arithmetic series is 6 and the 4th term is 10, what is the value of…

A: Sol

Q: Find the first 4 terms of the sequence defined byf (n) = 1/2n+ n.

A: Consider a sequence an. The first n terms of the sequence are given by: a1, a2, a3,...an

Q: 4. What are the first five terms in the recursive sequence defined by the following? a1 = %3D an =…

A: If you have given a recurrence sequence and given first term then using first term in the recurrence…

Q: 5. What are the first five terms in the recursive sequence defined by the following? aj = 0 Chn =…

A: Given: The recursive  equation as  a1=0,an=an-1-1.4 To find: First five terms of the given recursive…

Q: 9. Find the partial sum of arithmetic sequence of 25 terms starting with 5, 10, 15, 20,.........

A:

Q: Find the sum of the first 45 terms of an arithmetic sequence whose general term is given by 15 + 5n

A: Given that the general term arithmetic sequence is 15 + 5n.  And we have to find out the sum of…

Q: Find the sum of the first 20 terms of the arithmetic series: 6 + 3 + 0 - 3 - 6 - . . .

A:

Q: 1) Write out the first three terms of the sequence explicity. 1+n n=0

A:

Q: 2. The difference between any term after the first and its predecessor in an arithmetic sequence is…

A: It is known that for an arithmetic sequence, difference between two consecutive term is called…

Q: What is the sum of the first 13 terms of the given geometric sequence: 1,2,4,8,16,

A: To solve this problem, we use  the result of the sum of geometric sequence.

Q: Find the sum of the first five terms of the sequence with the given general term. an = (−1)n

A: Given sequence, an=(-1)n Put n=1 to 5 to get first five terms of sequence then add them.

Q: Find the first 5 terms of the sequence defined byan = (-1) n (2n).

A: The given sequence is an = (-1)n (2n)

Q: (2) Identify the next likely term in the sequence and the type of sequence: 5000, 2000, 800, 320,…

A: 2. The required sequence can be solved as below

Q: what would the sum be of the first 10 numbers in that series

A: Let's find sum of the series.

Q: Suppose that al, a2, a3, .. is an arithmetic sequence with common difference d. Show that 10, 10,…

A:

Q: If the 4th term and the 14th term of an arithmetic sequence are 13 and 73 respectively, the sum of…

A:

Q: of an arithmetic sequence with a = 8 and d = 2? options: tn=2 + (n+1)(8) tn=8 + (n−1)(2) tn=8 +…

A: Solution of the problem as follows

Q: If the first term a, and common difference d of an arithmetic sequence are 3 and respectively then…

A:

Q: What are the first five terms of the following sequence? a₁ = 25, an an-1-5 O 5, 10, 15, 20, 25 0…

A:

Q: Find the sum of the first 10 terms of an arithmetic sequence formed by odd integers starting from…

A: The objective is to find the sum of first 10 terms of an arithmetic sequence formed by odd integers…

Q: If the third and fourth terms of an arithmetic sequence are −6 and −9, what are the first and second…

A: Given,

Q: Find the sum to the nearest tenth of the first 17 terms of the sequence defined by the recursion a…

A: Given first term ( a ) = 5 Next term of series = 1.1 + an-1 This defines an A.P. with first term of…

Q: 1. -2, 4 2. 11, 111 3. 5, 7.5 4. 5, -4 What are the next three terms in each sequen Problem 2: For…

A:

Q: Calculate, to four decimal places, the first ten terms of the sequence. an = 1 + an 4 10

A:

Q: Find the first 6 terms of the sequence defined byf (n) = 2n + 3.

A: Given, f(n)=2n+3

Q: I. Determine whether or not each of the following is an arithmetic sequence. 1. 3, 5, 7, .. 531 2.…

A: To find out that the given sequences are arithmetic sequences or not.

Q: 1. 3,6, 12,... n = 12 27 2. 12, 9, 4 n = 5 ....

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.