A theater has 22 rows of seats. The first row has 17 seats, the second row has 21 seats, the third row has 25 seats, and so on. How many seats are in the theater? The theater has seats. Find the sum. 57 6- 5k Σ 11 k=14 The sum is (Simplify your answer.)

Q: In a sequence a1=3 ; a2=7 and an=2an-1+an-2 for n>3 ; Find a3 , a4 , a5

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Q: 6. The sum of the first n terms of a sequence is given by S, = 3n? + n. An expression for the n™…

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Q: 5. Find the sum. 3A + 2B [1 -2 A = |0 -1 -1 2 1 2 and B = -3 2 [4 3 -61 -41

A: Here is the solution

Q: Can i get help step by step with this problem?

A: Given,

Q: 2. Find the general term of the sequence: 2'5 3- 2n 3n-1 3n a. C. d. b.

A: By assuming the values of n and checking with options we will get the answer

Q: 5. The sequence -1, 1, -1, 1.....is (а) A.P (b) G.P (c) Н.Р (d) None

A: since u have asked multiple questions in a single request , so we will be answering only first…

Q: Consider the sequence -13, -3, 7, 17,.. 10n + 7. ...9 a. How many terms are there in the sequence?…

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Q: 2n an= 2n2+3 this sequence is :

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Q: Use the formula for S, to find the sum of the first five terms of the geometric sequence. 2 2 6, -…

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Q: 12 samples of different pastries are on display as customers leave a bakery, they are told that they…

A: Given: 1)Customer have to choose any 5 samples of pastries from 12 different samples. 2)Customer…

Q: 2. Let k – 16, k, 2k be consecutive terms of a sequence. Find the value of k if... a. The sequence…

A: Explanation and solutions is given below.....

Q: a) Find the first and the eighty-fifth term of the sequence 11 16 21 16' 29' 42'55 the first term =…

A: We have to find the first term, 85th term and general term.

Q: Topic: Arithmetic Sequence a1 = 7, d= 4, n = 10 Find: a10 The sum of the first 10 terms or s10

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Q: Find the sum. 11+ 14 + 17 +.. +113 The sum is (Type an integer or a simplified fraction.)

A: Given 11+14+17+........+113 Given series is in Arithmetic Progression We know sum of the terms in…

Q: n+1 The sequence is n = 1

A: Given that: n+1nn=1∞

Q: a(Cick to select) For the sequence an= (n+1 the values of the first four terms of the sequence are…

A: an = (n+1)(n+1) a0 = 1a1 = 22

Q: Find the sum: −3+0+3+...+(−6+3n)-3+0+3+...+(-6+3n)

A: The given series is a arithmetic series. So here we need to find the sum of given arithmetic…

Q: 3. Find (8- 3η) n=1 a. What is the first term of this sum? b. What is the last term of the sum? c.…

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Q: Consider the sequence -11, -6, -1, 4, ..., 5n — 1. a. How many terms are there in the sequence? b.…

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Q: The sequence an starts with a0 = 1, a1 = x, a2 = x2/2, a3= x3/6, a4 = x4/24, a5 = x5/120, . . . a.)…

A: Topic - sequence and series

Q: Use the approach in Gauss’s problem to find the following sums of arithmetic sequences.…

A: solution  (A)S=1+2+3+4+5+6+......98S=98+97+96+95+94+.....+12s=99+99+99+99+............99 98 times…

Q: b) The nth term of the sequence 10, 17, 26, 37, 50,... is (n + 2) + 1. Write down the formula for…

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Q: Write the first three terms of the sequence. 3n – 1 an n2 + 3 The first three terms are a, a2 =U,…

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Q: 5. Find the sum. 3A + 2B -2 [1 A = 0 -1 [4 [-1 B =| 0 2 1 2 and -3 2 3 1

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Q: (a,„) is a sequence and a =3 , n21 for 5a =a¸. What is the general term of this sequence? a. a, =5 O…

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Q: (a.) is a sequence and a 3, w1 for Saa. What is the general term of this sequence? Ob. 4-3 Od.

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Q: 6.) Find the sum. 3. + 5- 4 3/5 2]

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Q: etermine whether the sequence conver 4 an n + 2 m an II

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Q: Question Evaluate the following sum. 3 E (k² + k – 3) k=1 Give just a number for your answer. For…

A: ∑k = 1 3k2+k-3  = ∑13k2+ ∑13k-3 ∑131…

Q: Q5 A sequence of squares is constructed by joining the midpoints of the sides of the previous square…

A: Given: The area of the outermost square is 4P2 square units. Sketch the given diagram and label the…

Q: 12. Two different numbers are chosen from the sequence of consecutive odd integers 51,52,55, ... ,…

A: A detailed solution is given below.

Q: n) Find the 4th term of the sequence {(1+;)" 8. + – n n=1 8

A: To find- 4th term of the sequence.

Q: Topic: Arithmetic Sequence a1 = 18, d= -5, n = 12 Find a12 and the sum of the first 12 terms.

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Q: Mid average Options 7 Average of 100 consecutive numbers is 6, then find the average of middle two…

A: Given that,Average of 100 consecutive numbers is 6.

Q: Evaluate the sums. 6 a. (3 - k²) Σε. k=1 6 b. (k? – 5) k=1 > k(3k + 5) С. k=1

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Q: 5. Find the sum. 3A + 2B -2 -1 2 1. A = 10 -1 2 and B = -3 2 14 3 -6 1. -4]

A: Given matrices are: A=1-200-1243-6 and B=-1210-3201-4 To find: 3A+2B Solution:…

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

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Q: nature-ef luwingserier and the Sum- 20 2-52. い=D

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Q: The sequence an is given by an = (-1)n (2n+1) / (5n) a.) What are the first five terms of the…

A: Put subsequent values of n to find the all the required terms.

Q: (14)Find the sum. (15) The fourth term

A: Note: question 14 b is incomplete (upper limit of summation is not given)

Q: 3,-5,-13,-21 the sequence

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Q: More Summation: Pick 2 of the four, One must be 1 or 2 and the second must be 3 1. 3k +2 4 20-2n 3.…

A: (1) ∑k=28(3k+2)=3×2+2+3×3+2+3×4+2......3×8+2                         =(8+11+14+17+20+23+26)=119…

Q: A game of sequences, consider the following routine. If a number is even, divide it by two, if a…

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Q: Find the sum. 5 (-1) j! j = 0

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Q: 니.1 Find the Sum 40 2:(31-1)

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Q: 3-2n+1 3. Find the sum 5 n=3

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Q: A sequence includes 1, v2, 2, 2v2. It does NOT include 5V2 4V2 а. b. с. d. e.

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Q: 2 Q2: The nth term of the sequence 2, 9' 16 2n is (a) 을 (b) (c) NIO HIN

A: #2 Find nth term