5. Why might you choose to write a recursive formula rather than an explicit formula to define a sequence? The sequence is strictly geometric. You need to know the value of thre non-sequential terms in the sequence. You need to know the 54th term in the sequence. The sequence is neither arithmetic nor geometric.

Q: What are the first five terms of the sequence defined by the recursive formula a1 = 2 an = 2an-1 +…

A: Given, a1 = 2 an = 2an-1 + 1        for          n ≥ 2

Q: 1. The first term of an arithmetic sequence is 5. The eleventh term is 125. What is the common…

A: GivenFirst term of arithmetic sequence 'a' = 5Eleventh term of arithemetic sequece 'T_11' = 125

Q: 4 Find the infinite sum of the geometric sequence with a = 6, r = - if it exists. %3|

A:

Q: 4. Find the common difference of the arithmetic sequence for which the first term is -12 and 23rd…

A:

Q: 3 Suppose we know the second term of a geometric sequence is and the fourth term is 50' Further,…

A:

Q: た 2 白 Find the sum of the indicated number of terms of the geometric sequence. -4, 12, -36, ...; n =…

A: Consider the given series.

Q: 41. Find the sum of the first 70 terms of the arithmetic sequence with first term 10 and common…

A: "The student ask for the question number 41, so I am solving the question number 41." Given that,…

Q: 30. Find the sum S20 of the first 20 terms of the arithmetic sequence given by an = 5 – 2n.

A:

Q: True or False For an arithmetic sequence {an } whose firstterm is a1 and whose common difference is…

A: Arithmetic sequence

Q: 3. Evaluate to find the sum of the first 7 terms in the arithmetic sequence. 8, 2, -4, ...- 28

A:

Q: 2. If the 7th term of a geometric sequence is 448 and the 17th term is 458752, what are the values…

A:

Q: 8. Find the number of terms of the finite arithmetic sequence {7, 16, 25, 34, ...,574}. Make sure to…

A: Explained below

Q: 9. What is the sum of the first 15 terms of the arithmetic sequence -8, 7, 22, 37, . * O 202 O 1455…

A:

Q: The first three terms of an arithmetic sequence are as follows. 31, 24, 17 Find the next two terms…

A:

Q: For what value of K will K, K-2, K-3 be in terms of geometric sequence?

A:

Q: 2.) Write the general formula for un for the arithmetic sequence 12, 4, –4, –12, ...

A:

Q: 2. If the first term of an arithmetic sequence is 3 and the common difference is 4, what is the 23rd…

A: Topic = Sequence

Q: 3) The value of az in a geometric sequence given ba, + a, = 16a, a10 = 62 and all terms are postive,…

A: It's a geometric sequence problem so for better understanding I'm providing hand written solution.

Q: 4 Chose the formula for the nth term of the Geometric Sequence: 6, 4, 4, 10

A:

Q: 5. The third term of an arithmetic sequence is 28, while the fourth term is 41. Write the sum of the…

A: Given:  Third term of arithmetic sequence =28                fourth term     =41  To find : Sum of…

Q: 1. Consider a sequence that begins with 1, 4, 8, Explain why each of the following could be the next…

A:

Q: 6. Find the first 4 terms and the 12th term of the geometric sequence: a, =100,000 and r = -0.2 ɑ1 =…

A:

Q: The tenth term of an arithmetic sequence is 23, and the second term is. Find the first term. X

A: Let's find first term of arithmetic sequence.  Tenth term = 73/2 Second term = 9/2

Q: Looking for a formula for the sequence below: 1, 0, 3, 2, 5, 4, 7, 6...   Can't seem to come up…

A: Given series 1, 0, 3, 2, 5, 4, 7, 6...

Q: In an arithmetic sequence a1, a2, · ·-, an , if the first term is 7 and the common difference is 5,…

A: We use arithmetic progression formula an = a + (n-1)d

Q: What are the first five terms in the recursive sequence defined by the following? a1=1 a2=1…

A: The given recursive sequence is  an = an-2 + an-1  ..... (1) a1 = 1,  a2 = 1

Q: Find the indicated term of the sequence by finding the explicit formula for the nth term. 9. 100th…

A:

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

A:

Q: What is the 11th term of the arithmetic sequence 1+2i, 3+3i, 5+4i...

A:

Q: The fifth term of an arithmetic sequence is 24, and the sum of the first 10 terms is 265. Write the…

A:

Q: 1. The first term of an arithmetic sequence is equal to 200 and the common difference is equal to…

A:

Q: 1. Find the sum of the first eight terms of the geometric sequence 3,6,12, * ...

A: 1. We have find the sum of first eight terms of the geometric sequence 3,6,12... Formula for sum of…

Q: 1. Find the first 11 terms of an arithmetic sequence in which the third term is 10 and the eleventh…

A:

Q: What is the recursive formula for the sequence? 4, 24, 216, 2592, 38880, .. a1 = 4, an = 3na,-1 ај 3…

A:

Q: 17. Find the number of terms of the finite arithmetic sequence: 8, 14, 20, 26, ..., 320. (Make sure…

A:

Q: If the third and fourth terms of an arithmetic sequence are 12 and 16, what are the first and second…

A:

Q: The explicit formula of an arithmetic sequence is an =-4.5+6.5(n-1), what is the recursive formula?

A:

Q: Let the arithmetic sequence be defined by the formula un=11+(n - 1) x 6 Apply the concepts of the…

A: An arithmetic sequence is a set of numbers that obey a specific mathematical expression called its…

Q: 12. The 8th term of an arithmetic sequence is 16, and the 18th term is 56. Find the sum of the first…

A:

Q: 8. Find the missing term of the arithmetic sequence 22, 34, ... O46 O16 O28 O40

A:

Q: 15. Write the general formula in finding the sum of the terms of a FINITE geometric sequence.

A: We use concept of difference of sequence..

Q: The 12th term of an arithmetic sequence is 11 and the 15th term is 17. Find the 7th term. O 3 O 1 O…

A:

Q: 7. How many terms are there in the sequence 1,4,7,10,...,682?

A:

Q: 2) The sum of the first 16 terms of an arithmetic sequence is 212 and the fifth term is 8. a) Find…

A:

Q: If the third term of an arithmetic sequence is I and the eighth term is -14" what is the sum of the…

A:

Q: If two terms of an arithmetic sequence are a₁₁ = 26 and 815 = -10, what is 828? -226 O-217 O-127…

A: I have stated the used formula in the solution.

Q: What are the first five terms in the recursive sequence defined by a1=2 a2=3 an=an-2*an-1

A: Given: a1=2, a2=3, an=an-2·an-1 To find first five terms in the given recursive sequence. Solution:…

Q: Suppose a geometric sequence has a1 = Give your answers to the following rounded to the nearest…

A:

Q: 4. What are the first five terms of the sequence for a1=-2 and an=2an-1+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.