If 40, n, and 10 form the first three terms of a geometric sequence, then which of the following is the value of n? (1) 16 (3) 20 (2) 18 (4) 24

Q: 45 The table below show the first five terms of an arithmetic sequence. Which of the following is a…

A: The given AP series is: A = 3, 8 , 13 , 18 , 23, ........ the first term(a) = 3 the common…

Q: A. Write the first four terms of the geometric sequence in which a, and r are as follows: 1. a, =7,…

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Q: If x + 1, 2x + 2 and 5x + 2 form a geometric sequence, find the value of the first term. O 4 O 2 O 5

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Q: What is a geometric sequence? Write an expression for the nth term of a geometric sequence that has…

A: Geometric Sequence: A sequence in which each term is found by multiplying the previous term by a…

Q: B. Write the recursive formula for each Sequence, Then determine the next two terms. 1:5, 9, 13, 17,…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 3 Suppose we know the second term of a geometric sequence is and the fourth term is 50' Further,…

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Q: Write an expression that gives the requested term. The 13th term of the geometric sequence with…

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Q: If the 100th term of an arithmetic sequence is 584, and its common difference is 6, then its first…

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Q: If the first term of a geometric sequence is 3/2 and the second and third terms are -3/4 and 3/8.…

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Q: 6. If the first three terms of a geometric sequence are 8, 12, and 2x-4, then what is the value of…

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Q: Which of the following sequence is an example of a geometric sequence? * O 2, 4, 8, 16, . O -20,…

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Q: A geometric sequence has a first term of 8/3 (fraction) and a fourth term of 9.  Find the common…

A: For the given GPfirst term a=83fourth term T4=9 To find the common ratio r

Q: 1. Find the first five terms of the geometric sequence for which a1 3 and r = -2. %3D

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Q: This list shows the first four terms of a geometric sequence. 4, 2, 1, 3,... Which function can be…

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Q: 3. Given the recursive sequence defined by a1= 1, az= 2, an= 3an-r+2an-2 , find the terms a3, a4,…

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Q: The recursive formula for a geometric sequence is a, = 2an -1 with an initial value of a1 = What is…

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Q: 30 58 1. The 15th term and 29th term of an arithmetic sequence is and respectively. Determine 3 3…

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Q: Which of the following is NOT a geometric sequence? О5, 20, 45, 80, O4, – 12, 48, – 144, ... 08, 40,…

A: we know that if the sequence is in Geomentric sequence that is a1,a2,a3,a4,.....than the ratios that…

Q: What is a common ratio of the geometric sequence whose first term is 5 and third term is 245? 5 1)7…

A: The geometric series has first term is 5 and the third term is 245   Geometric sequence formula:…

Q: Find all possible values of r for a geometric sequence with the two given terms.a3 = 4, a7 = 1/4

A: To find: The value of common ratio of geometric sequence  r. Given; The 3th term is 4 and 7th term…

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: 5. The third term of an arithmetic sequence is 28, while the fourth term is 41. Write the sum of the…

A: Given:  Third term of arithmetic sequence =28                fourth term     =41  To find : Sum of…

Q: In an arithmetic sequence, a = 19 and a, = 31. Determine a formula for a, the n" term of this…

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Q: 1. Find the first, second, and sixth terms of the sequence an=4n-2

A: we have to find the first , second and sixth term of the given sequence

Q: 1. Find the 12 th term of an arithmetic sequence with a =-11 and a30 = 105

A: we have to solve the problem

Q: An arithmetic sequence is a sequence in which the___between successive terms is constant.

A: An arithmetic sequence is a sequence in which  the difference between successive terms is…

Q: 9. What is the general term of the geometric sequence 3, -6, 12,-24, ... ? A. an = 3(-2)"-1 B. an =…

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Q: 6. Write an nth term (general term) of the geometric sequence that has the given two terms: a. t, =…

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Q: Question 2

A: 2. Given sequence:

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: 7. a. Find the general term for the geometric sequence -1, -2, -4, -8, . ... b. Find the 12th term…

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Q: If the first 5 terms of a geometric sequence are {12, 6, 3, the formula for the nth term in the…

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Q: What is the explicit rule for the nth term of the geometric sequence? 3, 18, 108, 648, 3,888, O an =…

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Q: 1 Find the term a, for the geometric sequence with first term, a, = 3, and common ratio, r = 2 az =…

A: Given that the first term of the geometric sequence is 3 and the common ratio is 12. We have to find…

Q: Question 7 What is the sum of the first 9 terms of the sequence -4, 12, -36, 108...? A -39,364…

A: To determine the sum of the first 9 terms of the sequence -4, 12, -36, 108...

Q: A geometric sequence has 7 terms, if the first term is 4 and the last term is 256, then the middle…

A: In this question we are given with that the series is it geometric sequence and we are given with…

Q: = (-1)"/(n³). Write the first five terms of the sequence whose nth term is a, a, = a2 az = as

A: Solution is given below:

Q: 4. An arithmetic sequence has the first term of 10 and a common difference of-2. Find the sum of the…

A: Topic = Arithmetic sequence

Q: Consider the recursive form of a geometric sequence. Starting at 2. NEXT = 4 x NOW. Which is the…

A: Given :  Recursive form of geometric…

Q: Which of the following is a geometric sequence? O 0, 1, 1, 2, 3 O 1/2, 1/4, 1/6, 1/8, 1/10 О 2,4, 6,…

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Q: 4 3. Use the formula for the sum of a geometric sequence to write the following sum in closed form.…

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Q: If a2 = 10 and a4 = 40, then the common ratio of the geometric sequence IS O 1 O2 3. O10 04

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Q: 42. Find the second, fourth, and eleventh terms of the sequence described by: A(n) = 9 + (n - 1) (3)

A: The given sequence is, An=9+n-13 The second term is n=2 A2=9+2-13=9+3=12

Q: What equation can be written for the nth term of this geometric sequence? 1 2 3 4 an 100 -50 25…

A: Find the n the term of the geometric series

Q: Find the sum of the first 50 terms of the arithmetic sequence below. - 19. - 12. -5. 2. . The sum is

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Q: If the 100th term of an arithmetic sequence is 589, and its common difference is 6, then its first…

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Q: Suppose a geometric sequence has a1 = Give your answers to the following rounded to the nearest…

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Q: 9. Find the value of x and y if x-y, 7x+y-1, and -5y are consecutive terms of an arithmetic…

A: As per the instruction, we will be answering only the first question. We need to find all the value…

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.