arithmetic sequence has a(1) = 4 and a(2) = 16. Explain or show how to find the value of a(15).

Q: Write the first five terms of the geometric sequence with the first term, a, = 4, and common ratio,…

A: A geometric sequence is a sequence of numbers that follows a pattern where the next term is found by…

Q: Find the first term of the arithmetic sequence with a6=2.7 and a7Find the first term of the…

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Q: Q1 What is the difference between an arithmetic sequence and a geometric sequence?

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Q: Write an equation for the nth term of the arithmetic sequence.

A: the nth term of the arithmetic sequence is given by

Q: n an arithmetic sequence the first term is -8 and the sum of the first 20 terms is 790

A: We know that Sum of 20 terms in AP is given by S20=n2(a1+a20)

Q: Find the indicated term of the arithmetic sequence with first term, a1, and common difference, d.…

A: a1=13  &  d=4

Q: Find the 7th term of the geometric sequence shown below: -5x^5, 10x^10, -20x^15,...

A: The given sequence is -5x5,10x10,-20x15,...

Q: Which of the following is an increasing arithmetic sequence? O -2, -4, -6, -8, ... -12, -10, -8, -6,…

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Q: Write the first five terms of the arithmetic sequence. Use the table feature of a graphing utility…

A: Given,         a6=-32 , a11=-67We know that,          The general term of the arithmetic sequence is…

Q: Write a rule for the nth term of the arithmetic sequence. Then find a30. 1,-4,-9,-14,-19

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Q: What is a geometric sequence? Give an example with your explanation.

A: Geometric sequence: Any sequence a1, a2, a3,.... is called geometric sequence if a2a1=a3a2=...…

Q: Find the term ag for the geometric sequence with first term, a, = 4, and common ratio, r= 3 ag (Type…

A: The solution is given as

Q: Write an expression for the geometric sequence with first term a = 3 and common ratio r =1/ 2 . Give…

A: An expression for the geometric sequence with first term a = 3 and common ratio r =1/ 2 will be =…

Q: Write the arithmetic sequence – 6, – 11, – 16, – 21, ... in the standard form: - An

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Q: Find the indicated term of the arithmetic sequence with first term, a1, and common difference, d.…

A: Given: for the arithmetic sequence first terma is -40 and common differenced is 5 We know that nth…

Q: Write a rule for the nth term of the arithmetic sequence. Then find a30. 5,6,7,8,9,...

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Q: What is a sequence? What notation do we use to denote the terms of a sequence?

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Q: Find the formula for the geometric sequence and then find a1o - An equation editor will pop up when…

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Q: Write the rule of the geometric sequence. 3, 6, 12, 24,..

A: Given geometric sequence is, 3,6,12,24,.... Here a=3 Now to find r consider, r=6/3=2 Then a=3 and…

Q: Arithmetic sequence is given by a, = 0 and a15 = 4. What is the sum of the first 15 terms of that…

A: Given,            Arithmetic sequence is given by a5=0 and a15=4.To find : What is the sum of the…

Q: Write an explicit formula for the geometric sequence 4. 4 3 92 4 4 7(5 pts) 27 ) * * ..

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Q: Write a rule for the nth term of the arithmetic sequence. Then find a30. -4,-2,0,2,4

A: topic - arithmetic progression

Q: Write the first five terms of the arithmetic sequence. a 1 = 13; d = -4 9, 5, 1, -3, -7 13, 9, 5, 1,…

A: Given,

Q: An arithmetic sequence is given. Find the common differenc {3n - 8} What is the value of the common…

A: From the given information. The nth term of arithmetic sequence is tn=3n-8.

Q: Find the general term an and determine whether or not the sequence is a arithmetic sequence,…

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Q: Find the common difference d for the arithmetic sequence. 8,3,-2, -7, ..

A: The given sequence is: 8,3,-2,-7,...

Q: Write a formula for the general term the nth term of the arithmetic sequence:-4, 2, 8, 14, . . . .

A: we have to write  a formula for the general term the nth term of the arithmetic sequence:-4, 2, 8,…

Q: th Write a formula for the n"" term of the geometric sequence. 5, 10, 20, 40, ...

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Q: Find the common difference for the arithmetic sequence with the specified terms.a4 = 14, a11 = 35

A: a4=14  &  a11=35⇒a1+3d=14  →1  &  a1+10d=35  →2     ∵an=a1+n-1d

Q: What is the common difference of the arithmetic sequence? -1, 2 1,.

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Q: Write an expression for the sum of the first n terms of a geometric sequence.

A: Given data:   The given number of terms in the geometric sequence is: n.   The expression for the n…

Q: Write the arithmetic sequence -4, – 11, – 18, 25, in the standard form: an

A: Given that

Q: Write the first six terms of the arithmetic sequence shown below. an =an-1+6, a, = -2 a1 %3D a2 = a3…

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Q: Write the first three terms of the sequence whose general term is an=n!3n. Provide your answer…

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Q: f the second and third terms of a geometric sequence are 108 and 36, what is the first term? Express…

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Q: Write a rule for the n​ the term of the geometric sequence. Then identify the first six terms of the…

A: Here, we have a1=25Common Ratio=1025=25The nth term of the geometric sequence is given…

Q: Write a rule for the nth term of the arithmetic sequence.

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Q: Use the formula for the general term (the nth term) of an arithmetic sequence to find the indicated…

A: Given : a1=23d=-4

Q: A Write the first four terms of the sequence whose general term is given below. an = (-1)+¹(n + 6)…

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Q: Write the first five terms of the arithmetic sequence. Find the common difference and write the nth…

A: Given  a1=8.5,     ak+1=ak−0.5

Q: In an arithmetic sequence, the first term is -8 and the sum of the first 20 terms is 790 Whats the…

A: By using sum of arithmetic sequence formula, we calculate the common difference of arithmetic…

Q: An arithmetic sequence is defined recursively by a1=-3 and a,-an-1+ What is the value of the term a,…

A: The arithmetic sequence is defined as follows: a1=-3 and an=an-1+7for n>1 The common difference…

Q: Write a function to model the geometric sequence in the table. n| 1 ,2, 3, 4 , 5 an|75, 15, 3, 3/5…

A: Given the geometric series:

Q: 1. Create an arithmetic sequence and explain why it is arithmetic. 2. Create a geometric sequence…

A: Arithmetic Sequence A sequence is said to arithmetic if the difference between consecutive terms is…

Q: What is the 6th term of the sequence defined below n =r+4.50 n-1 Solving a Sequence or Series?…

A: We are given a sequence as: r1 =7   and rn =rn-1 + 4.50 We need to find out a. the 6th term of the…

Q: John saves money in a manner that it forms an arithmetic sequence. John saves 5 dollars on the first…

A: Since you have asked multiple questions, we will solve the first question (Question-3) for you. If…

Q: Use the formula for the general term (the nth term) of an arithmetic sequence to find the indicated…

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Q: What is the sum of the arithmetic sequence (-10) + (-6) + (-2) + ...90?

A: