1) Using the appropriate formula, find the 17th lerm of the sequence 7,4, 1,......

Q: If the first two terms of a Fibonacci sequence are 32, 83, then what is the next term ?

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Q: Is the sequence {cos (-)- In(n)}, monotone? If so is it increasing creasing? or de-

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Q: Write an explicit formula for an, the nh term of the sequence 5, –1, –7,.... -

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Q: Consider the following sequence of towers of unit cubes. How many unit cubes are there in the nth…

A: First we will count the number of cubes in all the four diagrams. In Diagram 1: 1 cube In Diagram…

Q: Find next three term Of the Fallaung Ficonecci sequence 5 1 12 43 3.1

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Q: The limit of the sequence a, = (-1)"2 is equal to %3D Select one: True O False

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Q: Find the first four terms and the eighth term of the sequence.

A: Consider a sequence an. Then, the terms of the sequence are given by: a1, a2, a3..., an, .... where…

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

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Q: Fibonacci sequence

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Q: Find the sum (to the nearest hundredth) of the first 17 terms of the sequence defined by the…

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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: 6. Determine if the sequence is geometnc. DRHIS,find the comman fatio. an-1,3,-1.. ماتوقو

A: Given: 27,-9,3,-1,..............

Q: The generating function for the sequence 1.0,1.0,1,0,1 is

A: Given sequence is 1,0,1,0,1,0,1 ,....... find the function for the given sequence

Q: 1 The sequence an %3D 2n +3 (a)decresing (b) in

A: See the details solution in below

Q: 18. Find a, andr for a geometric sequence if az = 18 and a, formulas.) 144. (Make sure to use the…

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Q: F29 * 3 -( 3

A: We know that, nth Fibonacci number is given by the formula Fn=151+52n-1-52n

Q: Find 21st term of series 13,16,19

A: Given problem:- Find 21st term of series 13,16,19

Q: Find the 70th term of the following arithmeti c sequence. 4, 11, 18, 25

A: First term of the A.P. is 4 Common difference, means the difference between two consecutive terms is…

Q: - Determine the Collatz sequence for Co =7.

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Find the erplicit formula for the sequence 25, 5, 1, ,.

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Q: 4. Write down the first six terms of the Fibonacci =1 and F2 = 1. sequence defined by Fn Fn-1 +…

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Q: 8, If the third term in the geometric series 2 ar" is 4, then the product of the first five terms n…

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Q: The generating function of the sequence 4,4,4,4,4 is

A: # To find generating function of sequence  4,4,4,4,4,4 ??

Q: Find the 71th term of the given sequence; sn=5n-100

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Q: If the third term in the geometric series Larn is -108 and the sixth term is 32 then the ratio of n…

A: We have to find the ratio of given geometric series.

Q: The sum Sn of the first n terms of a series is given by S, ="(3n + 1). Show that the series is an…

A: we have to show that given sum of n term of series is an arithmetic series   According our…

Q: Is the limit of the ratio of any two successive increasing terms of the Fibonacci sequence.

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Q: Compute the first five terms of the sequence to verify the formula Tn=2n2-5n+1 For what value of n…

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Q: Problem 8. Let the “Tribonacci sequence" be defined by T1 = T, = T3 Tn-3 for n 2 4. Prove that Tn…

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Q: a Calculate the first 28 terms of the Diginacci sequence with starting terms 1 and 1, and then find…

A: Given That:  In Diginacci sequence, First two terms  are less than 100 To Show  : c) It has a term…

Q: The sum of the series 5 + is given by A. and 27 is given by B njo

A: sum of infinite geometric series:a+ar+ar2+····=a1-r where r<1-----i

Q: In geometric sequence a1, a2, - --, an , if a4 = 1472 and a6 23552, then the common ratio is O 4 O 5…

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Q: The first term and a recursive formula for a geometne Sequence are given. Find ag

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Q: Give an explicit formula for an, the apparent   nth term in the sequence 7, 17, 7, 17, 7, 17...

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Q: Create your own sequence explicit formula.

A: Let, a sequence be: 2,4,8,16,32,64,... This sequence can be derived as  21=222=423=824=1625=32 and…

Q: Write the first five terms of the sequence with the given nth term. = cos %3D

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Q: Find the limit of the sequence with the given nth term. Зп + 8 an 3n

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Q: Given the following sequence: 33, 30, 27, 24, ... [2] Write a formula to generate the nh term and be…

A: We have to solve

Q: The generating function for the sequence 1,0,1,0,1,0,1 is

A: We have to find the generating function for the sequence  1 , 0 , 1 , 0 , 1 , 0 ,1  = 1 + 0(x) +…

Q: Find the first six terms of the recursively defined sequence sn=3sn−1+4forn>1,ands1=1

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Q: What is the formula for the sequence 0, 1/pi1/2, 4/pi1/3, 9/pi1/4 starting with the term n=1?

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Q: find the speafied geometric sequence. 9, = 20, a term of the 135 %3D %3D 16 a3=?

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Q: Find the sum of the first 150 terms of the arithimetic sequence 6,9/2,3,........

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Q: a. What would be the population size in 7 years. b. Fund the sum of the first eight terms of the…

A: Given; P0=5000 Rate=2%=0.02 the sum of the first eight terms of the sequence 18,-14,12,.... Formula…

Q: A sequence of the form a, a + d, a + 2d, a + 3d,..., a +nd is called

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Q: Given the geometeric sequence 8, 6/1, 9/2 find an explicit formula for an

A: Let's call the i-th term of the sequence as ai.We have a1 = 8a2 = 6and a3 = 9/2

Q: Consider the following sequence. 54, 18, 6, 2, ... State the general expression for the nth term of…

A: Find out common ratio of given expression,d= 1854,618, 26=13Therefore ,Given expression is geometric…

Q: If 5, 25 are two adjacent terms in a geometric sequence ( in that order), then the next term is

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.