A town has a population of 5000 persons, but is expected to grow by 2% every year.    (i) What would be the population size in 7 years?    (ii) Find the sum of the first eight terms of the sequence ⅛ , − ¼ , ½ , ......

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: For the sequence an = n +1' its first term is its second term is its third term is its fourth term…

A:

Q: Use the formula for the sum of the first n terms of an arithmetic sequence to find the indicated…

A: The series can be written as follows in expanded form: 31+2+32+2+33+2+......+316+2…

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

A: As per bartleby guidelines for more than one question asked only first is to be answered please…

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: Find the first four terms and the seventh term of the sequence that has the given nth term.

A: Given 5n3-2n2

Q: Find the nth term, the fifth term, and the eighth term of the geometric sequence.4, 1.2, 0.36,…

A: Given geometric sequence is 4, 1.2, 0.36, 0.108,… To find the nth term, fifth term and eight term of…

Q: In a(n) _____  sequence, the ratio of successive termsis a constant.

A: A sequence in which ratio of successive terms is a constant is called a geometric sequence. Consider…

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

A: Given, Initial population of a town is 5000 persons. It is given that it increases at a rate of 2%…

Q: For the sequence an = an-1+ an-2 and a1 = 3, a2 = 4, its first term is its second term is its third…

A: The sequence an=an-1+an-2 and a1=3, a2=4

Q: Use the formula for the sum of the first n terms of a geometric sequence to:Find the sum of the…

A: Given: 3, -6, 12, -24, . . . . is the geometric sequence. To find: the sum of the first 11 terms of…

Q: Use the formula for the sum of the first n terms of a geometric sequence to solve. Find the sum of…

A: We need to find the sum of the first five terms of the geometric sequence:  4/3, 8/3, 16/3 . . .

Q: Find the first four terms and the seventh term of the sequence that has the given nth term.

A: (-1)n+1-(0.1)n

Q: c) find the sum of the first 201 terms of this sequence.

A:

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

A: FIND EXPLANATION BELOW

Q: *30. Formulate Substitute the formula for the nth term of an arithmetic sequence (105) into the…

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Q: The formula for a sequence is 2n+3 where n=1,2,3... Show the first four terms of the sequence

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Q: Find the sum of the arithmetic series. -2+(-5)+(-8)+...+(-20)

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Q: Find the sum of the infinite geometric series: 3 + 2 + 4/3+ 8/9+ ...........

A: Consider the given series 3+2+43+89+......

Q: for the sequence a_n=a_{n-8}+a_{n-2} and a_1=1,  a_2=2 Its First term is: Its Second term is: Its…

A: an=an-1+an-2 , a1=1 , a2=2

Q: Find x so that x, (x + 2), and (x + 3) are consecutive terms of a geometric sequence.

A: In this question, we will find the value of x which will satisfy the conditions of a geometric…

Q: Find the sum of the infinite geometric series.

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Q: Find the nth term, the fifth term, and the eighth term of the geometric sequence.

A: To find: The nth term, fifth term, eighth term of the geometric sequence. Given: The geometric…

Q: Find the sum of the first 30 terms of the arithmetic sequence. an = -3n + 27

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Q: Use the formula for the sum of the first n terms of a geometric sequence to solve. Find the sum of…

A: The given geometric sequence: 32, 38,332,.....

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

A: Given that, an=-1n+1+0.1n-1

Q: 4 Chose the formula for the nth term of the Geometric Sequence: 6, 4, 4, 10

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Q: Find the nth term, the fifth term, and the eighth term of the geometric sequence.

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Q: Find the first four terms and the 100th term of the sequence.  an=(-1)^n+1 n/n+3

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

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

Q: Use the formula for the sum of the first n terms of a geometric sequence to:Find the sum of the…

A:

Q: The middle term of an arithmetic sequence equals 17, the last term = 32, and the fourth term = 11.…

A: Given middle term = 17 Last term = 32 Fourth term = 11 T4 = a+3d = 11 Middle term = T6 = a+5d = 17…

Q: Find a formula for the nth term of the sequence. V3. VV3. VVV3....

A: We write a few first terms using exponents.

Q: for the sequence a^n = a^n-1 + a^n-2 and a^1 = 3, a^2 = 4, its first term is _________ its second…

A: Note: It is assumed that the sequence is an=an-1 +an-2 and a1=3 , a2=4 .   The nth term of a…

Q: Find the sum of the infinite geometric series.

A: For | r | <1 S∞=a11-r

Q: Find the sum, if it exists, of the infinite geometric series related to the infinite geometric…

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

A:

Q: Find the nth term of the arithmetic sequence {a,} whose initial term a and common difference d are…

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Q: Find the nth partial sum of the arithmetic sequence. an 2n - x; n = 18 S18 =

A: an = 2n-x; n =18  To Find the nth partial sum of the arithmetic sequence

Q: Find the sum, if it exists, of the infinite geometric series related to the infinite geometric…

A: The nth term of the infinite geometric series is given as: an=120.2n-1 Then we get,…

Q: B. Write a formula for the general term of each infinite sequence. 1. 3, 5, 7, 9, ... 2. 1, 4, 9,…

A: As per the company guidelines we are suppose to answer first question of two subparts.Kindly repost…

Q: Find the sum of the first 50 terms of the arithmetic sequence. an -5n – 6 ||

A: The arithmetic sequence is given by an = -5n-6 To evaluate: The sum of the first 50 terms of the…

Q: For the sequence an = an -1+ an – 2 and a1 - 3, а2 4, its first term is its second term is its third…

A: Given  an = an-1+an-2   a1 = 3 , a2 = 4  To find  first five terms

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

A: Solution: From the given information, the town has a population of 5000 persons. But it is expected…

Q: For the sequence a, = an-1+ an-2 and a1 = 2, a2 = 3, its first term is its second term is its third…

A:

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

A: The sequence given in second part of the question doesn't seem to be correct. Repost the question…

Q: For the sequence a, = 1+(- 1)", its first term is its second term is its third term is its fourth…

A: an = 1 +(-1)n Generally sequence starts from n = 0.First term n = 0a0 = 1 + 1 = 2Second term n =…

Q: Use the formula for the sum of the first n terms of a geometric sequence to:Find the sum of the…

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Q: Use the approach in Gauss's Problem to find the sum of the arithmetic sequence: 6+12+18+...+600

A: We Help of the Gauss's Problem to find The sum of the arithmetic sequence.

Q: Find the first 10 terms of the sequence an 5n + 2. its 9th term is its 10th term is

A: To find the first ten terms of the sequence substitute n=1,2,3,........9,10 in an

Q: 2. Use the given nth-term formula to compute the first five terms of the sequence. n (2n+1) а. а 3 2…

A: a.) an=n(2n+1)2 b.) an=5n2-3n To find a1, a2, a3, a4, a5

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

A:

Q: Use the formula for the sum of the first n terms of a geometric sequence to find the sum of the…

A: Given that the geometric sequence is 7,14,28,56,112,....

Q: Find the sum of the infinite geometric series. 24 + 12 + 6 + 3 + ⋯

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Q: For the sequence an = an-1+ an–2 and a1 = 2, a2 = 3, its first term is its second term is its third…

A: We have to find first ,second, third, fourth and fifth for the given sequence: an=an-1+an-2 and…

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.