The first term a, of a geometric sequence is 10 and the common ratio r is 5, find the sum of first five terms S,. a) 6250 b) 7810 c) 1020 d) 768

Q: Find the common ratio and write out the first four terms of the geometric sequence (1.04)" n-1…

A: Lets find common ratio r and a1,a2,a3,and,a4.

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: Given the geometric sequence: 35 az = 3 245 a1 = 5, a2 = 9. find a formula for the nth term: an =

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Q: What is the sum of the 8 terms in a geometric sequence if the first term is 4 and the common ratio…

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Q: Given that the 8th and 15th terms of an arithmetic sequence are 25/2 and 2, respectively, if the nth…

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Q: The first four terms of the sequence defined by a, = na,-1+n²an_2, a0 = 1, a2 = 3 are %3D ao = 1, a1…

A: Given nth term of the sequence is, an=nan-1+n2an-2 , and  a0=1, a1=3. Substituting n=2 in equation…

Q: Show that the given sequence is geometric, and find the common ratio.

A: The given sequence is, 17,37,97,…,173n-1,… Here, sn=173n-1 The objective is to show that the given…

Q: Find a, and r for a geometric sequence (a,) from the given information. 47 az = 47 and a, 8 a, = r =

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Given a sequence defined by the explicit definition: tn = 2" – n, find the 5th term of the sequence.…

A: It is given that,the sequence:tn=2n-n We have to find the 5th term of the sequence.

Q: The first term of a geometric sequence is  1536 and the common ratio is 1 /2 . Which term of the…

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Q: Which explicit formula describes the sequence {1,2/7,4/29,8/343,...}?

A: gdfge

Q: (a) What is the nth-term formula for the number of tiles in the nth figure of the sequence? (b) How…

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Q: Show that the given sequence is geometric, and find the common ratio.

A: Explanation: A geometric progression is a sequence of non-zero terms in which ratio of any term and…

Q: Consider an infinite sequence of circles as in the diagram. What is the sum of the areas of all…

A: This is a problem on infinite geometric progression which is solved as shown below.

Q: Find the fifth term and the nth term of the geometric sequence whose initial term, a, and common…

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Q: Find the explicit formula for the given sequence. 2, 8, 32, 128, ....

A: TO find the explicit formula of given sequence .first check the common ratio terms since ratio is…

Q: Find the nth term of a sequence whose first several terms are given. 7 11 15 19 49' 16' 25'* 3, an

A: To find  The nth term of the given sequence

Q: 2. Determine the first five terms of the arithmetic sequence having these values: a, =-97;a, = 447;…

A: Since you have asked multiple questions in a single request we would be answering only the first…

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: The first four terms of the sequence defined by an = nan 1+En'a, 2, ag = 2, a, = 6 are O ao = 2, a1…

A: Note:- For given problem Either options are wrong because according to problem a2=6 but in option…

Q: Find the explicit formula for the given sequence. 2,8, 32, 128, ...

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Q: Given a and b, suppose that three numbers are inserted between them so that the five numbers form a…

A: If the product of the three inserted number between a and b is 27  This product is the cube of the…

Q: The table below identifies the values for the first 5 terms in an arithmetic sequence. 1. Term…

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Q: What is the nth-term formula for the number of tiles in the nth figure of the sequence?

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Q: Find a formula for the general term ɑn of the sequence assuming the pattern of the first few te con…

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Q: 9. Find the explicit formula for a sequence satisfying а, %3D10а,, + 25а, _,n22 n-1 а, %3D 3, а,…

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Q: For a given geometric sequence, the common ratio, r, is equal to 2, and the 10th term, ₁o, is equal…

A: Here, nth of a GP , an = a1 × r(n - 1)

Q: The 13th term of a sequence is 8, and the 17th term is 8. What is th

A: Given, the 13th term of a sequence is 8 and 17th term of sequence is 8.

Q: Given that the first term of an arithmetic sequence is 50 and the common difference is -5, what is…

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Q: For a given geometric sequence, the 1st term, a₁, is equal to 11 9 your answer as a fraction. and…

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Q: You were given the sequence 14, 238, 4046, … a) Prove that the sequence is a geometric sequence and…

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Q: In geometric sequence a1, a2, •• • , An , a3 = 1792 and ag = 114688, then the common ratio is 7 9.…

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Q: For the trihonacci type sequence begging 1,2,2 write the next five terms

A: To write the next five terms of the tribonacci sequence

Q: Given that the 8th and 15th terms of an arithmetic sequence are 25/2 and 2, respectively, then the…

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Q: Given the sum of the first 6 terms of a geometric sequence is 27,342 and the common ratio is 5,…

A: Sum of first 6 terms of a geometric sequence is 27342 and common ratio is 5 we have to determine the…

Q: If the explicit nth term formula for the given sequence is an = 2n2 + bn +c, then b= and c= 5, 10,…

A: Plugging n=1, an=2n2+bn+ca1=212+b1+c5=2+b+cb+c=3 Plugging n=2, an=2n2+bn+ca2=222+b2+c10=8+2b+c2b+c=2

Q: The general term of sequence I,Ź stanting by n =D0 is

A: By taking limit from n=0 to 3

Q: Construct the difference table to predict the next term in the sequence: 6, 9, 14, 26, 50, 91, 165 O…

A: Here, to construct the difference table to predict the next term in the sequence 6,9,14,26,50,91,__

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: The first four terms of the sequence defined by an = nan 1+n'a, 2, ao = 2, a1 = 6 are %3D O ao = 2,…

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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 a formula for the nth term of the sequence. 1/25,8/125,27/625,64/3125,125/15,625, ...

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Q: Given that the 8th and 15th terms of an arithmetic sequence are 25/2 and 2, respectively, if the nth…

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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: Find the 36th term of the arithimetic sequence with third term 10 and eight term 25?

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

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Q: on 6 mula for the general term a,n of the sequence assuming the pattern of the first f {7, 12, 17,…

A: We have to find the nth term according to the given sequence

Q: Find a closed formula for the sequence (Cn)neN defined as follows: if n = 1, Cn = if n = 2, 8. Cn-1.…

A: As per the question we are given a piece-wise defined sequence (cn) and we have to find a closed…

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.