Given the explicit formula for a sequence, find the first five terms and the 52nd term. 1) а — 41- бп

Q: A town has a population of 5000 persons, but is expected to grow by 2% every year. 1. What would be…

A: Given A town has a population of 5000 persons, but is expected to grow by 2% every year. 1. What…

Q: create a sequence with five terms based on the given information.  An arithmetic sequence with a…

A: Given that the third term of the arithmetic sequence is 8 and the common difference is 5.That is a3…

Q: (4) Find the sum of the sequence in (2) to an infinite number of terms.

A: identify the series

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

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Q: The sixth term Of a geometric sequence consisting of positive integers is 96 and the tenth term is…

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Q: Suppose that n > 5 and that the numbers t1, t2, t3, . . . , tn−2, tn−1, tn form an arithmetic…

A: We need to determine the value of n in the given arithmetic sequence.

Q: During a nationwide program to immunize the population against a new strain of the flu, public…

A: Note: We will answer the first question only as the exact one is not specified. Please resubmit the…

Q: ind the sum of the first eight terms of the sequence 1/8,−1/4,1/2, . . ..

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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: A Dignacci sequence is created as follows. The first two terms are any positive whole numbers Each…

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Q: Fibonacci sequence

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Q: Select the first five terms of the sequence. (Assume that n begins

A: Introduction: A sequence is a collection of numbers (or items) that follow a specific pattern and…

Q: Consider the sequence given by an = 2 · 5"-'. a. Find the first 4 terms of the sequence. What sort…

A: The sum of first n terms of a geometric series is calculated using the formula, an=a(rn-1-1)r-1,…

Q: 5. Find the first five terms of the recursively defined infinite sequence: а, %3D 2, а, %3D5 & a,…

A: a1=2, a2=5 and ak+1=9ak-4ak-1

Q: Find at least three different sequences beginning with the terms 4, 8, 16 whose terms are generated…

A: Given that  The sequence   4,8,16

Q: A sequence can be generated by using an = 3a (n – 1), where a1 = 5 and n is a whole number greater…

A: Given,     an=3an-1,  where  a1=5 and n is whole number greater than 1.

Q: Determine the sum of first 20 terms of the arithemetic sequence if the first term is 2 and second…

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Q: s constructed in a similar way to the Fibonacci sequence is the Lucas Sequence:…

A: In this question, the concept of the sequence is applied. Sequence A series is created by a…

Q: 2 if it exists. 6 Find the infinite sum of the geometric sequence with a = 3, r = Preview

A: Given  a = 3  r = 2/6

Q: 8. Use a difference table to predict the next term in the sequence. 1, 14, 51, 124, 245, 426, ...

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

A: Explained below

Q: The 1st, 5th, and 13th terms of an arithmetic sequence re the first three terms of  geometric…

A: Let the first term of arithmetic series be a0 So the fifth term is And the thirteenth term is   So…

Q: 10. Determine the sum of the sequence 500, 497,494, ... 188,

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Q: If the 100th term of an arithmetic sequence is 691, and its common difference is 7, then its first…

A: nth term of an arithmetic sequence is given by, an = a1+ (n - 1)d  where a1 is first term and d is…

Q: The first term of a geometric sequence is 8 and the fourth term is 216. What is the sum of the first…

A: Given, First term = 8 Fourth term = 216

Q: Construct a difference table to predict the next two terms of the sequence

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Q: The figure below shows the first three squares in a sequence qo, 41, 42, - - . of squares divided…

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Q: Find the first five terms of the recursively defined infinite sequence.

A: Given,                a1=5,                       ak+1=7-2ak

Q: 52. Find the sum of the first 60 terms of the sequence. {2, 10, 18, 26,...}

A: Solution:Given      the sum of the first 60 terms of the sequence{2,10, 18, 26,...}FormulaSn=n2…

Q: The second term of a GP is 24 and the sixth term is 121.5, the first term of the sequence will be

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Q: The second term of a geometric sequence is 14 and the sixth term is 224. fin the nth term and assume…

A: we have to find the nth term

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: Predict the general term, or nth term, a, for the sequence. 12345 - - .... 6' 7' 8' 9' 10'* an

A: The 'nth' term of a sequence is a formula with 'n' in it which enables the evaluation of any term of…

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

A: We will answer the first question as we don't answer multiple question at a time. Please resubmit…

Q: Find the eigth term of a sequence 3,6,12

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Q: Find the number of length-7 sequences from the numerical digits {0,1,2,3,4,5,6,7,8,9} such that the…

A: Combination(Selection): It refers to the situation where order of occurrence of event does not…

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

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Q: An arithmetic sequence has first term aj = 1 and fourth term a4 = 16. How many terms of this…

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

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

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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: 1.) Show that the sequence 2,11, 20, 29, ... is arithmetic.

A: we have to show that the given sequence is arithmetic

Q: 4. Find the first five terms of the sequence in which the sixth term is 47 and twelfth term is 77.…

A: Given:Arithmetic progression  T6=a+5d=47  T12=a+11d=77   We have to find T5 = ?

Q: A Diginacci sequence is created as follows: The first two terms are any positive whole numbers Each…

A: Given are the instructions to form a Diginacci sequence: The first two terms are any positive whole…

Q: The fourth term of a geometric sequence is 135 3645 and the seventh term is 4. Find the first 32…

A: Given :                     The fourth term of the geometric sequence is 1354 and seventhterm of…

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

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Q: 1. If the numbers a, m,m2, C, m, b form an arithmetic sequence, we say that the numbers m,m2, C, m…

A: If there are k arithmetic mean between a = 1 and b = 30 and d is the common difference of the…

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: The first term of an arishmetic sequence is 5 and the common difference is 5 find the nth terms of…

A: The first term of an arithmetic sequence is 5. The common difference is 5. Formula: The n-th term of…

Q: Let Fib(n) be the nth term of the Fibonacci sequence, with Fib(1)=1, Fib(2)=1, Fib(3)=2, and so on.…

A: According to our guidelines we can solve only first question and rest can be reposted.Thank you

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.