tk = tk−1 + 3k + 1,

Q: Find the next three terms (a3, a4, and as) of the following sequence: a1 = 2 and az = 1, and for all…

A: Explanation of the answer is as follows

Q: For the sequence defined by: a1 = 4 an+1 = Find: a2 || az = a4 = 4 ➖ an - 2

A: Given that a1 =4 an+1 = (4/an )-2 Find a2 =? a3 =? a4 = ?

Q: Write the first five terms of each sequence, start at f(1), given f (2) = -14, f (n) = 4f (n – 1) +…

A: To write the first five terms of each sequence starts at f(1).

Q: Use an=a1+(n-1)d and gn=g1re-1 to find: the 19th term of the geometric sequence -2, -6, -18, -54 .…

A: Here the given series is a geometric progression. So to find any term in the series we use formula…

Q: For the sequence defined by: a = 3 an Find: aj 02 a3 3 an-1 -5

A:

Q: If all tems except ys of the sequence Y1» Y2» Y3. Y9 be given , show that the value of ys is 56 (y4…

A:

Q: For the sequence defined by: a1 = 2 an+1 = Find: a2 a3 a4 = 4 an - 3

A:

Q: For the sequence defined by: a1 = 2 1 + 2 an an +1 Find: %3D a4 -

A:

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

A:

Q: Find the first three terms of the sequence whose nth term is as follows:

A: A sequence is a set of numbers that has a particular order or obeys a general form. The nth term of…

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: Show all necessary work: 2n (#1) Let an represent a sequence. List the first 5 terms: In²-1

A:

Q: For the sequence defined by: a1 = 4 = an+1 = Find: a2 a3 = = a4 = 1 an 1

A:

Q: For the sequence defined by: a₁ = 4 an+1 = Find: a2 = a3 = a4= 1 an +1

A: By using given sequence, we will find the terms.

Q: Find the a0, a1, a2, and lim an for the following sequences: 3 x 10 = 30. an = (7+3n)/(5-2n) an =…

A: We can solve this by using definition of sequences

Q: Find only 4 terms for the summation: e2xn 2o n2+1 1)

A: Corresponding to each 'n' we have a term.

Q: For the sequence defined by: ai = 2 1 + 5 An аn + 1 — Find: a2 az = a4 = II

A: To find  a2 , a3 , a4  substitute n=1,2,3 respectively  in the given equation.

Q: Find the 5th term of the sequence with formula an+2=2an+1 + an where a1=1 AND A2=1

A:

Q: For the sequence defined by: a1 = 3 an+1 Find: a2 = a3 = a4= 5 an +3

A:

Q: For the sequence defined by: a₁ = 1 an+1 = Find: a2= a3 = a4= 4 an -5

A: Given that  and .We have to find the values of .

Q: For the sequence defined by: a₁ = 4 an+1 Find: a2 = a3 = a4= 1 an +1

A:

Q: Find the limit of the sequence: 3n? + 9n + 9 An 2n2 + 2n + 1

A: To find:-

Q: For the sequence defined by: a₁ = 3 an+1 = Find: a2 = a3 a4 - - 5 an +2

A:

Q: find a formula for a, for the arithmetic sequence.

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.