QUESTION 4 Find the sum: 3 + 9 + 15 + 21 + . ... + 729. Note: a1 = 3.

Q: Question 5 Define a sequence using the formula b,=2bn-1-bn-2 for n 23 with b1=2 and b2 = 8. %3D Find…

A:

Q: Find the sum. E, 2 Li-1

A:

Q: Question 2 Given the following sequence: t,= 2t-1-4; where t = 2. %3D %3D Write the NEXT FIVE (5)…

A:

Q: Find the common ratio of the given sequence. 3 1 1 1 1

A: To find the common ratio:

Q: 1. Find a formula for the sum: 2+ 6+ 10 ... + 2(2n - 1)

A: The given sequence is 2+6+10+... +2(2n–1).

Q: Which of these represents the sequence: 36, 30, 24, 18, ...? O an 36+6n O an = 36 – 6n O an = 42 –…

A: The expression for the nth term of arithmetic sequence is: an=a1+n-1d Where; a1 is the first term, n…

Q: Question 1 (a) (i) Write down the first four terms of the sequence 12 ao = -2, a, = an-1 %3D (n +…

A: We have to find the four term

Q: In each case, find the first 5 terms of the sum and compute S. 31-1 r: The first 5 terms are: The…

A:

Q: QUESTION 6 For the sequence an = [n+ 1/2], a7 is %3D O A. 8 O B. 6 O C.9 O D. 7

A:

Q: Question 10 What is the next number in the sequence? 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, ... A) 89 B)…

A:

Q: E. In a sequence: a = 3, az = 7, and a, 2a,-1 + a,-2 for n2 3. %3D (12) Find az. (13) Find a4.

A:

Q: Find the following sum:

A: The series for the given summation can be represented as follows:…

Q: In each case, find the first 5 terms of the sum and compute S, 3. The sum 1S 2 The first 5 terms are…

A:

Q: Find the sum of the series. 25 125 625 + 5 + 2! ... 3! 4!

A: Given : The series 5 + 252! + 1253! + 6254! + ... To find the sum of the given series.

Q: 4) Find the sum, if possible. Σ 5 ()' i = 1

A: This is geometric series  Common ratio is 4/3 which is greater then 1  So it is divergent

Q: Question 8 (Show your solutions) If you flip a coin 10 times, you get a sequence of Heads (H) and…

A: Number of times coin flipped is 10.

Q: Find the exact values of the following sums 23n 3n (1) 52n n=1

A: As per our guidelines, I can answer only one question

Q: Find the sum, if it exists. 11 k Σ 13 k = 1 2/3

A:

Q: Question 6 The five first terms of the sequence {4n-1}-1 are: O 3,7,11,15,19,... O 3+7+11+ 15 +…

A:

Q: QUESTION 7 Find the sum. 6 + 12 + 18 + . + 624 32136 33075 32448 O 32760

A: Recall the facts.

Q: The accompanying figure shows the first five of a sequence of squares. The outermost square has an…

A:

Q: En(n+3) n=1

A: Given, ∑n=15nn+3   We have to find the sum

Q: In geometric sequence a1, a2, , an , if a2 = 140 and a4 is 3500, then the common ratio 4 O 5 O 25…

A:

Q: QUESTION 3 Evaluate the sum. k=1 O 1015 O3150 2744 11.025

A:

Q: Question 23 Study the number sequence below. 16, 19, 24, 31, ... What is the seventh term in the…

A: 16,19 then 19-16=3 19,24 then 24-19=5 24,31 then 31-24=7 Notice that the difference between two…

Q: Question 5 What is the sum of the series 1440 + 360 + 90 + Add your answer

A:

Q: Which of the following is the sum of the series 3 3 (2 + 1)2)

A:

Q: Find the sum of E=1n(n+ 1)æ" = ? 00 for Q < æ <

A:

Q: QUESTION 3 Find a formula for the nth term of the sequence. 1, 4 9' 16 25 (reciprocals of squares…

A:

Q: 4. Give the LUB of the sequence: n=1 а. 1/2 b. 1/4 с. -1/4 d. -1/2 е. О

A: Answer is option b

Q: QUESTION 9 Find the sum. Σ k=1 1388 3 1364 3 1304 1394 3

A:

Q: Question 4 For the sequence defined by: a1 = 2 an +1 + 3 an Find: a2 = %3D a4 = %3D Question Help:…

A: A sequence is a function from the set of natural numbers to the set of real numbers. A sequence may…

Q: Question 2 Find the sum 80 5n n=21 Question 3 MacBook Pro

A:

Q: Choose the appropriate response for each question using the sequence An+1 an + 2 and a1 = 3

A: Given sequence, an+1=an+2 and a1=3

Q: + 2". Find The sequence {a, } is given by the formula a, = [2n] + a) ao = b) a1 = c) az = d) az =

A:

Q: Question 3 The next number in the sequence 0,3,8, 15, 14, ... is

A: Given sequence is 0,3,8,15,14,...

Q: #2. Find the sum of the 8 n=1 1 (3n+ 1)(3n+4)

A: In given series we break the nth term of series as addition of nth term of two different series…

Q: Question 2: Find the next three terms of the following Fibonacci-style sequences (a) 2, 4, 6, 10,…

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

Q: Find the sum of the numbers in each row, except row 0, of the portion of Pascal’s triangle shown…

A:

Q: Question 7 What is the sum of the first 9 terms of the sequence -4, 12, -36, 108...? A -39,364…

A: To determine the sum of the first 9 terms of the sequence -4, 12, -36, 108...

Q: Question 13 The first four terms in a sequence, and the rules that define them, are shown below. = 4…

A:

Q: In geometric sequence a1, a2, •• • , An , a3 = 1792 and ag = 114688, then the common ratio is 7 9.…

A:

Q: Find the sum 5 Σ (3n+2)(2n-1) n=3

A:

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

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

Q: 6. Find the value of each of the sums. a) E= om= b) E-,2³ = c) E-,(3' – 2)= d) Ek = 78

A:

Q: In each case, find the first 5 terms of the sum and compute S, %3D0 D00001The sum is The first 5…

A:

Q: Given that the sum of the first n terms of a sequence is S, where S, = n(n + 2), the fourth term of…

A:

Q: In each case, find the first 5 terms of the sum and compute 3 2 2 The first 5 terms are: 000 The sum…

A:

Q: QUESTION 1 Write out the first five terms of the sequence. {s n) = n2 2. 54 $1=. 52= 53= 11 27 3 S3=…

A: Given,

Q: Find the sum:

A: Let 'a' be the first term and 'r' be the common ratio of geometric series.Sum of infinite geometric…