4) Find x if the sequence 3, 6, 2x+5, is a) arithmetic b) geometric.

Q: If F, = 6 and F2 = 3, list the first 8 terms of this Fibonacci-type sequence.

A: topic - fibonacci type sequence in fibonacci sequence, The next number is found by adding up the two…

Q: Use difference table to predict the next term in the sequence 6, 13, 22, 34, 50, __?__

A: The objective of the question is determine the next term of the given sequence.

Q: bn Уп? + 6п — п,

A: Given that the sequence bn=n2+6n-n where n∈ℕ and ℕ is the set of natural numbers. We have to…

Q: The eight term in a geometric sequence with a second term 3 and fifth term 81/8, multiply with the…

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Q: 2. Find and prove a closed formula for the recursive sequence a, = 3, a, =a-2 %3D

A: Topic = Sequence

Q: A tribonacci type sequence begins 1,2,1, wrote the next five terms of the sequence.

A: Tribonacci series

Q: The amazing grandeur of the Fibonacci sequence was discovered in the structure of Function O…

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Q: A Fibonacci-type sequence begins with 4,3. Wrote the next 5 terms of the sequence.

A: Answer and explanation is given below...

Q: Consider the sequence: 6, 2, Vhat is the equation for the general term of this

A: In this question we will use basic of algebra i.e concept of geometric progression. First we will…

Q: Show that the sequence 9,12,15,18, ... is an AP. Find its 16th term and the general term.

A: We need to show that the sequence 9, 12, 15, 18, ... is an AP. Here, 12 - 9 = 15 - 12 = 3. And the…

Q: Suppose that the sequence {ak}1 is 2, 4, 6, 8, 10, 12, 14, 16, . What is a,?

A: we have the given sequence 2,4,6,8,10,12,14,16,...

Q: Find an a and y such that 3, x, y, 42, ... becomes an arithmetic sequence. (Hint: and y should be…

A: We need to find x and y such that 3,x,y,42 are in Arithmetic sequence and x and y such that…

Q: A sequence is a functi-

A: A sequence is a function whose domain is the set of natural numbers and range is the real numbers .…

Q: determine the closed formula that generates the sequence 1,2,4,8,16,32

A: The given sequence in the question is:

Q: How many terms of the arithmetic sequence {2,4,6,8,...}will give a sum of 600?

A: The given arithmetic sequence is {2,4,6,8,.....} an the sum is 600 We know,

Q: Suppose that the sequence {ax}1 is 2, 4, 6, 8, 10, 12, 14, 16, ... What is a4?

A: Answer

Q: Construct a difference table to predict the next term of the sequence.   10, 10, 12, 16, 22, 30,…

A: 10, 10, 12, 16, 22, 30;

Q: Construct a difference table to predict the next term of the sequence. 8, 1, −2, 2, 16, 43, . .

A: The next term of the sequence is obtained below: From the given information, 8, 1, –2, 2, 16, 43 ….…

Q: Which term of the arithmetic sequence 7,12,17,... is 352?

A: an=a+(n-1)d

Q: Find an increasing subsequence of maximal length and a decreasing subsequence of maximal length in…

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Q: 5. Describe four different rules for determining le next entries in the sequence that follows. Give…

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Q: Which term of the geometric sequence 6, 18, 54, … is 118098

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Q: Terms of the sequence a1, a2, a3, . .. , a2020 are obtained by the rule: 1+a1 1+ a2 1+ a2019 az = 1-…

A: Reciprocal of a number n is 1n.

Q: 3. Find two possible next terms of a sequence 2, 8, 9,17 that is neither geometric nor www…

A: Given the sequence 2,8,9and 17. We need to find the 2 possible next terms of a sequence.

Q: What is the 6th term of the sequence 8, 32, 128, 512, ...?

A: what is the sixth term of the sequence , 8, 32 ,128 512, ....?

Q: Construct a difference table to predict the next term of the sequence. 1, 8, 20, 37, 59, 86, . ..

A:

Q: 6. Describe four different rules for determining the next entries in the sequence that follows. Give…

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Q: , n=1,2,3. is a sequence of real numbers defined by a, = /2 %3D %3D and for n21, a = 2,/2+a, .

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Q: 4. The 1st term of an arithmetic sequence is -168 and every term after the first is 8 more than term…

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Q: How many ordered sequences are possible that contain 2  objects chosen from 9 ? ​

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Q: How many terms of the arithmetic sequence 20, 18, 16.... must be added so that the sum will be -100?

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Q: Use the pigeonhole principle to show that there is a multiple of 691 whose digits are Os and 1s.…

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Q: Find the formula of the Sequence. 1.) 2,1,3,4/3,15/4..., or 2, 2/2, 3/1, 4/3, 5(3)/4,...-

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Q: Show that the sequence too n! 217 is eventually strictly increasing or eventually strictly…

A: The given sequence is n!21nn=1∞ Eventually strictly increasing sequence : A sequence is said to be…

Q: Find the general of the sequence 8,8.5,9.0,9.5,...

A: Let general term of sequence an.

Q: How many terms must be taken from the sequence (-16, 14, 12, ...) starting from the first term so…

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Q: Suppose that the sequence {az}ı is k=1 1,3, 5, 7,9, 11, 13,.. What is a1?

A: First we find the general of the given sequence {ak}∞k=1=1,3,5,7,9,11,13,..., with the help of…

Q: A sequence a1, a2, a3,.... satisfies the property that an+1 is the average of the first n terms if…

A: We have to find a2 .

Q: Find x and y such that 5, x, y,32 is part of an arithmetic sequence. Then find x and y so that the…

A: Given sequence is 5,x,y,32. First find the value of x and y such that sequence 5,x,y,32 is a part of…

Q: Consider the sequence: 2, 4, 8, 16, 32, ...Determine the 13th term of the sequence.

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Q: Find a closed formula for the sequence defined recursively by bo = 2, by = 3 and b, = 3b,-1 – 2b,-2…

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Q: Find the values of x and y for which the sequence 2, x, y, 17, . . . is(a) arithmetic (b) geometric

A: 2, x, y, 17, . . .  We need to find the values of x and y for which the given sequence is (a)…

Q: A sequence a1, a2, a3,….. is defined by An+1 4аn — 3, п > 1 -- = k, where k is a positive integer.…

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Q: Which recursive rule describes the sequence 3, 7, 11, 15, ... ?

A: First we have to find out 1st term and common difference.

Q: Decide whether the sequence 1, 2, 3, 4, 5, 6, 7,. is finite or infinite. ..... Choose the correct…

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

Q: )In the sequence 2, 5 , 8, 11, 14, .. , the common, =) In the sequence 2, 5, 8, 11, 14, .. , the…

A: Given query is to find the value of indicated terms.

Q: 2. Write a recursive definition for the sequence 14, 10, 6, 2,... Oaj = 14, an = an-1+4 %3D Oa = 2,…

A: To write a recursive defintion for the sequence 14, 10, 6, 2, ...

Q: List the first five terms of the sequence: a1 = 2, az = 1, An+1 = An аn-1 %3D -

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Q: - Describe four different rules for determining the next entries in the sequence that follows. Give…

A: Given, 5, 7, 11, . . .

Q: How many terms of the arithmetic sequence {1,3,5,7,...) will give a sum of 961? How many terms of…

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