18) Explicit Formula: 200, -100, 50, -25, .. 15th term:

Q: The first term of an arithmetic sequence is 5. The third term of the sequence is 13. Which of the…

A: Given,First term of AP = a = 5Third term of AP= 13Let, Second term of AP = xWe can write AP as - 5,…

Q: 3, 12, 21, 30,...

A: A geometric sequence, is a sequence of numbers where each term after the first is found by…

Q: What is the explicit equation for the nth term of the arithmetic sequence 6, 3.5, 1,-1.5, 4,...?…

A: We have: a1=6 -- the first term   Next, we calculate the common difference d=a2-a1 So, we have:…

Q: Find the explicit formula for the geometric sequence, THEN use it to find the 15 term. 17) Explicit…

A:

Q: Find the first 10 terms of the sequence a,n = 2n + 3. its 9th term is its 10th term is

A:

Q: Find the infinite sum of the geometric sequence with a = 4, r = Soo = > Next Question if it exists.

A: Topic-geometric Progression

Q: The second term of a geometric sequence is 6 and the fourth term is 96. Find the possible values of…

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: Write a formula for the general term of the geometric sequence. Then use the formula for a, to find…

A: Solve by geometric sequence general term formula.

Q: For the given geometric sequence. Find the sum of the first 6 terms of 3, -6, 12, ….

A:

Q: The first three terms of a geometric sequence are as follows. 2, -10 , 50  Find the next two terms…

A:

Q: Use the formula for the sum of the first n terms of a geometric sequence to solve:A pendulum swings…

A: As per the question,                    We are given the geometric sequence which the pendulum…

Q: Determine the common ratio r, the fifth term, and the nth term of the geometric sequence. 2, 2° + 1,…

A:

Q: The first term of a geometric sequence is 5. The common ratio = -3. Find the 7th term. a, = a(r)-1 O…

A: It is in gp

Q: The third term of a geometric sequence is 5, and the sixth term is -40. Find the eighth term.

A: The nth term of a geometric sequence is given by an=a1rn-1, where a1 is the first term of the…

Q: Find the eigth term of the geometric sequence from the given information. Express the term as an…

A: Our Aim is to find the eigth term of the geometric sequence given that:-a2=-9 and r=13

Q: Determine if the sequence if geometric. If it is, find the explicit formula for the nth term, and…

A:

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

A:

Q: Given the explicit formula for a geometric sequence find the first 5 terms and the 8th term see…

A:

Q: 14. Which explicit formula describes the geometric sequence {, ,7 8T}? 1 1 O an = (3)"-1 O + (n –…

A:

Q: Determine the common ratio r, the fifth term, and the nth term of the geometric sequence. 7, 21, 63,…

A:

Q: The first three terms of an arithmetic sequence are as follows. 31, 24, 17 Find the next two terms…

A:

Q: Find the fifth term and the nth term of the geometric sequence. First term is a=1 and common ratio…

A:

Q: The first three terms of a geometric sequence are as follows. 81. 27,9 Find the next two terms of…

A: Our objective is to find the next to turn of the geometric sequence.

Q: D. Given the specified terms of geometric sequence, find the first term and the common ratio, 1. az…

A:

Q: Write a formula for the general term of the geometric sequence. Then use the formula for a Subscript…

A:

Q: 6 The nth tem ofa sequence is.guen find the first five terms of the sequence.

A: Simply put different values of "n" to get the desired term.

Q: 3. The 3rd term of a geometric sequence is 12 and the 7th term is 192. Determine the 13th term.

A:

Q: Find a formula for the nth term of the sequence. 1,-4, 9, -16, 25, ... Determine the sequence's…

A:

Q: The first three terms of a geometric sequence are as follows. 32, 16, 8 Find the next two terms of…

A: We have to find next two terms of the given geometric sequence: 32, 16, 8 Here, First term, a=32…

Q: The sixth term of a geometric sequence is 1215 and the third term is 45. Find the first term and the…

A:

Q: Use the formula for the general term (the nth term) of a geometric sequence to find the indica Find…

A: For geometric series : given : put values :

Q: Find the indicated term of the arithmetic sequence with the given description.  The first term is…

A:

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

A:

Q: Find a formula for the nth term of the geometric sequence. Then find the indicated nth term of the…

A: Given: The geometric sequence,  2, 22, 242, ... To find: The formula for the nth term of the…

Q: Given the explicit formula for a geometric sequence find the first five terms and the 8th term. 6)…

A: Given, The explicit formula for geometric sequence  an= -3×(-2)n-1 To find the first five terms plug…

Q: a = 3"- 1

A:

Q: B. Give the next three terms for each geometric sequence. 1. 2, 6,. 2. 0.1, 0.3, 0.9,0.27.. 3. 100,…

A:

Q: Given the geometric sequence: 40 4, aj = 11 400 ao a2 = 121 find a formula for the n-th term:

A: The given geometric series is,a0=4,a1=4011,a2=400121,.....

Q: 2, 10, 50, 250, .

A:

Q: Determine the sum of the geometric sequence if it exist. If the sum does not exist, write DNE. 6, 2,…

A: Explanation of the answer is as follows

Q: Write an explicit formula for am, the nth term of the sequence 35, 38, 41, ...

A:

Q: For the geometric sequence 3, 12, 48, 192, ., .... find the indicated term. 14th term:

A: From the given geometric sequence:   3,12,48,192,....   As we know that the expression for nth term…

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

A:

Q: Find the common ratio and write out the first four terms of the geometric sequence (1.03)" n-1…

A: The nth term of the geometric sequence is given by an = 1.03n-1…

Q: The sum of the first eight terms of an arithmetic sequence {an} is 24; the sixth term is 0. Find a…

A:

Q: - The nth term of an arithmetic sequence can be calculated with the formula a, = aj + (n – 1)d.…

A: NOTE: Refresh your page if you can't see any equations. . the arithmetic sequence is given by

Q: Use the formula for S, to find the sum of the first five terms of the geometric sequence. 5 5 15,…

A: Consider the sequence, 15,  -5,  53,  -59, ......................... The sum of the first “n” term…

Q: Write an explicit formula for each sequence. Find the 12th term. , =a, +(n-1)d 2. 7, 14, 21, 28, 35,…

A:

Q: The first term a, of a geometric sequence is 10 and the common ratio r is 5, find the sum of first…

A:

Q: B. Find the nth term of the sequence, then find the 2oth term. 5. 5. -6, -4,-2,..

A: Solution..

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.