Question-06 (a) What are the terms ao, a1, a2, and az of the sequence {an}, where a, equals 7+ 4"?

Q: Find 65th term of the arithmetic sequence with first term 5 and common difference -1/2

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Q: 1. The third and eighth term of a geometric sequence are 8 and – respectively. What is 1 4 the first…

A: 1.The nth term of geometric sequence;an = a rn-1a3 =a r28=a r2 ...(1)a8 =a r714=a r7…

Q: 1. The first term of an arithmetic sequence is 5. The eleventh term is 125. What is the common…

A: GivenFirst term of arithmetic sequence 'a' = 5Eleventh term of arithemetic sequece 'T_11' = 125

Q: Find the generating function for the sequence: 1-5,5,5,5 2-1,5,25,125,…………. 3-6,6,6,000,…

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Q: | 3,-2, –7, –12,–17, ... Identify the type of sequence: How do you know: Explicit equation:…

A: Given, 3,-2,-7,-12,-17 In the given sequence common difference is -5. Therefore, this is an…

Q: Un=11n-7  Calculate  the first 4 terms of the sequence

A: For the first term, n=1, so Un=11(1)-7=4For the second term, n=2, so Un=11(2)-7=15For the third…

Q: A sequence is described. First term=7 Common ratio=2   which  is an equivalent for this sequence…

A: Given that A sequence is described. First term=7 Common ratio=2 To find The nth term of the sequence…

Q: A geometric sequence whose first term = 2 and whose sixth term = 64, i) find the first six terms ii)…

A: The nth term of a geometric progression or a geometric sequence with first term and common ratio r…

Q: (1 point) Find a formula for the general term a, of the arithmetic sequence (starting with a1): {4,…

A: a1=4 a2=-2 a3=-8 a4=-11 Note that commond difference d=-6

Q: How will u categorize fibonacci sequence?

A: fibonacci sequence  is such that each number is the sum of the two preceding ones starting from 0…

Q: Provide an Arithmetic Sequence, by either giving a General rule or explicitly listing the first five…

A: We have to provide an Arithmetic Sequence, by either giving a General rule or explicitly listing the…

Q: What is the eighth term of the arithmetic sequence? 8 -7 -6 -5 tn +4 -3 -2 -2 -3 4 -6 -7 -8

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Q: Find the indicated term of the geometric sequence. 9th term of 0.6, 0.06, 0.006,.. Enter the 9th…

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Q: ind the 85th term of the arithmetic sequence with first term 1 and common difference -1/2

A: As we know that the expression for the nth term of the arithmetic sequence is: Tn=a+n-1d Where 'a'…

Q: Which geometric sequence has a first term equal to 55 and a common ratio of -5?

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Q: An arithmetic sequence whose first term is 2 has the property that its second, third, and seventh…

A: Given The arithmetic sequence whose first term is 2 has the property that its second, third, and…

Q: QI. Write out the first four terms of the sequence and determine whether the sequence is converging.…

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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: (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: Find the indicated term of the geometric sequence. 9th term of 1, - 1, 1, ... Enter the 9th term of…

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Q: An arithmetic sequence is given below. 5, 12, 19, 26, -.. th term an Write an explicit formula for…

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Q: 1. Find the 30th term of an arithmetic sequence whose ninth term equals 199 and fifteenth term…

A: Given: T9=199, T15=343 we know that nthTn term of an arithmetic progression is given by Tn=a+n-1d…

Q: 1. How are arithmetic and geometric sequences similar? 2. How are they different?

A: 1. The similarities between arithmetic and geometric sequences is that they both follow a certain…

Q: 3. What is a sequence?

A: Literally a sequence means things arranged in a specific order. That is, a sequence is a list of…

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

A: Given: A town has a population of 5000 persons and is expected to grow by 2% every year. The…

Q: What are the explicit equation and domain for an arithmetic sequence with a first term of 7 and a…

A: The Arithmetic Sequence Explicit formula allows the direct computation of any term for an arithmetic…

Q: Example 1: Find the first five terms of the sequence where an = n2 – 3 %3D

A: Given :            To find the first five term of the sequence,  an = n2 - 3 The first five terms…

Q: What is a recursive definition of a sequence?

A: A recursive sequence is a sequence in which terms are defined using one or more previous terms which…

Q: Example 3: Find the general term of the arithmetic sequence 6, 2, -2, –6,...

A: 3). To find the general term of the arithmetic sequence 6, 2, -2, -6,…. Solution: Given sequence is…

Q: (a) What is a sequence?(b) What is a recursive sequence?

A: sequence is an enumerated collection of objects in which repetitions are allowed and order of the…

Q: If the 100th term of an arithmetic sequence is 182, and its common difference is 2, then its first…

A: Given that the 100th term of an arithmetic sequence is 182 and its common difference is 2.

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: Find the indicated term of the geometric sequence. 9th term of 1, - 1, 1, . Enter the 9th term of…

A: nth term of geometric sequence is given by =an=a1rn-1 Where r=a2/a1

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: - 5. Test your conjecture. Using your derived formula or general term, find the first four terms of…

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Q: Find the 75th term of the arithmetic sequence with first term 2 and common difference -1/2.

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Q: Example 6: Find the sum of the first 30 terms of the arithmetic sequence 3,7,11, 15, ..

A: Given- Consider the arithmetic sequence 3,7,11,15......  To Find- The sum of the first 30 terms.…

Q: {3, 6, 12, 24, 48, 96, 192 } How do I find the explicit formula for this sequence?

A: Given sequence is 3,6,12,24,48,96,192 To find the explicit formula. Solution: Here, we have a1=3…

Q: Yes, the sequence is geometric. No, the sequence is not geometric.

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Q: 8. An arithmetic sequence has the 5th term equal to -64 and the 14th term equal to - 1. Calculate…

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Q: 88. DISCUSS: A Different Type of Recursion Find the first ten terms of the sequence defined by a, =…

A: To find: the first ten terms of the sequence an=an-an-1+an-an-2.

Q: ind the 14th term of the geometric sequence 10, 40, 160,

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Q: Quèstion 5 5(-1)" 3" +2 is a geometric sequence O True False

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Q: What is the 11th term of the geometric sequence −1.5,−3,−6,−12,…?

A: Given series ,-1.5 , -3 , -6 , -12 ,---first term , a1=-1.5Common ratio , r=-3-1.5=2

Q: A particular arithmetic sequence begins 2, 9, 16, . Find the sum of the first 100 terms.

A: 2, 9, 16, ........ It is an arithmetic sequence with,

Q: If the 100th term of an arithmetic sequence is 600, and its common difference is 6, then its first…

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Q: What is this an = 2n – 5 ? 1. Can you give the first 4 terms of the sequence using that rule? 1st…

A: Given : an=2n-5 it is an explicit formula of sequence.

Q: 3. Write out the first three terms and last term of the following sequence. Then find the indicated…

A: According to the given information, the given sequence is:

Q: 16. Makya was conducting a physics experiment. He rolled a ball down a ramp and calculated the…

A: Note that the arithmetic sequence formula is: an=a1+(n-1)d...(1)

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.