6 6 Define the following sequence recursively: 6, 5' 25 O an = An-1 an = O an O an || - P 15 - 19 6 5a-1 +6, 6 -an-1, 5' ·an-1, a₁ = 6 a1 = 6 a₁ = 6 a1 = 6

Q: 9) For the sequence 0,2,4,6,00., So. Calculate

A: Given, Sequence :  0, 2, 4, 6, . . .

Q: Write the first five terms of the sequence defined recursively. a1 = 43,    ak + 1 = ak − 8 a1?…

A:

Q: a = (k + 1)a, +1 and a =-1 [3] Let be a sequence defined recursively as , find a,, "3, and a..

A: I am attaching image so that you understand each and every step.

Q: The sequence a,,a,a...... is defined as a₁ =n² +3n nez' i. Find the first four terms of the…

A:

Q: #4. Use the notation for sequences to translate the following to mathematical equations. a) The…

A: Given: The statement is "The second term of the sequence is 5." To find: The mathematical equations…

Q: Write down the first five terms of the following recursively defined sequence. a1 3; an+1 = an +9

A: It is given that a1=3;an+1=an+9.

Q: Write the next term and write a rule for the nth of the sequence -5,-10,-15,-20

A:

Q: What is the explicit formula for the sequence 5,7,9,11,13…5,7,9,11,13…? What do we know about this…

A:

Q: 14. Write a recursive formula for the sequence a) 3, -5, -13, -21,... b) 6.-2, 3, .

A:

Q: In your own language, describe the pattern of the following sequences (The sequences are given as a…

A: We draw required connection between the pattern and formulas as below.

Q: 4. Find the value of x so that x+7, -x-1, x+ 13,.. shall form a geometric sequence.

A:

Q: what is the recursive or explicit formula of the given sequences:  1. -18, -13, -9, -6 2.…

A: 1. Step 1: Observe the pattern. The pattern for {-18,-13,-9,-6} is +5,+4,+3.  Step 2: Find Explicit…