(c) g1 = 2 and g2 =1. The rest of the terms are given by the formula gn = n-gn-1 + gn-2- (d) C1 = 4, c2 = 5, and cn = Cn-1 Cn-2 for n2 3. (e) b1 = 1, b2 = 3, and bn = br-1 - 7-bn-2 for n 2 3. %3! (f) di = 1, d2 = 1, and dn = (dn-1)2 + dn-2 for n2 3.

Q: Find the nh term of the following sequences 8, -16 , 32 , -64 , 128 , -256

A: As we can see the series is increasing rapidly thus we can observe that a number is being multiplied…

Q: Find the first five terms of the given recursively defined sequence. a,= 2(a,1 – 2) and a, = 3 %3D n…

A:

Q: Find the first four terms of the finite sequence an= 3n A.3,6,9,12 B. 3, 7, 10, 13 C. 1, 3, 6, 9 D.…

A:

Q: Find the first five terms in sequences with the following nth terms. a. 9n - 1 b. 3n - 2 c. 8n + 1…

A:

Q: 3. Find the 7th term of the sequence represented by the nth term below: " An = 3n + 4 d. 27 c. 25 a.…

A:

Q: aj = %3D a2 = %3D az = %3D a4 %3D

A: n=1 =>a2= -2a1+9 = -2(-4) +9 = 17 n=2 =>a3= -2a2+9 = -2(17) +9 = 9-34=-25 n=3 =>a4= -2a3+9…

Q: Write down the first five terms of the following recursively defined sequence. a₁ = 3; an+1 = −2an+6

A:

Q: Find the first four terms of the following recursively defined sequence. bk = bk -1+7k, for each…

A: We will find out the required values.

Q: 1. Use the given rule to write the 4th,5th,6th, and 7th terms of each sequence. an= n + 1/n + 2

A:

Q: Find the first five terms in sequences with the following nth terms n2 +6

A: Consider the given n-th term as n2+6. We know that sequences are functions defined on the set of…

Q: . a, = 4 anei a, a,-1

A:

Q: Find an explicit formula for the general term a, of the sequence. {-4,0,4, 8, 12, 16, ...}

A:

Q: find the third fourth and fifth terms of the following recursive sequence

A: 11. The recursive sequence is An=2An-1-An-2, A1=4, A2=8. The third term is,…

Q: Write down the first five terms of the following recursively defined sequence. a₁ = 1; an+1 = I -…

A: Solution: Given sequence is  an+1=-2an-8a1=1

Q: Find the first four terms of the following sequence. a, = 4, az = 4, a =an-1 +a-2. for n2 3 = (Type…

A: Topic = Sequence a3 =8

Q: Find the first ten terms of the spectrum sequence of the following number. 2

A:

Q: Lonstruct a sequence having .63) as its set of accumulation points.

A:

Q: How many terms are in the following arithmetic sequence -3, 5, ...1189?

A:

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

A:

Q: Find the nth term of the following sequences 1 1 1 - 2 ' 4 8 16 32

A:

Q: uppose that you flip a six-sided die 4 times. You get the sequence 6-2-1-2. How many possible…

A: roll a six sided die 4 times.  no. of possible sequences = ?

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.