Consider the geometric sequence: -5, 10, -20, 40, ........Solve, Find the sum of the first ten terms of the sequence.

Q: Given the arithmetic sequence 6,-1,-8,-15,-22. Find the 25 term

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Q: Find the common ratio of the geometric sequence 10, -40,-160,... Answer: Submit Answer attempt 1 out…

A: find the common ratio of the given geometric sequence

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: Write the first six terms of the arithmetic sequence shown below. anan-1-19, a₁ = 33 ***

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Q: Write a formula for the nth term of the geometric sequence. -40,20,-10,5,.........

A: Find the ratio of the series by dividing 2nd term by first term.

Q: Find the 12th term of the arithmetic sequence 2x + 9, –2x + 15, -6x + 21, ... 00 Answer: Submit…

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Q: Find the indicated term for the geometric sequence with the first term, a1, and common ratio, r.…

A: Solution

Q: Find the 53rd term of the arithmetic sequence -12, -1, 10, ... Answer: Submit Answer

A: The given AP -12, - 1, 10,........... First term a = - 12 Common difference d = - 1-(-12)= 10-(-1)=…

Q: tell whether the sequence is arithmetic. * 0, -4, -8, -12, -16, ...

A: Given: A following sequence is given 0, -4, -8, -12, -16, ... To Find: To check the given sequence…

Q: In the geometric sequence -4, 8, -16,.., what is the sum of the first 6 terms? 84 O 252 O -168 O…

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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 first five terms of the geometric sequence. a n = 6a n-1; a 1 = 3

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Q: In an arithmetic sequence, a, = -3 and d = -5. What is a4?

A: The nth term of an arithmetic sequence is an=a+n-1d Here,  a= first termd= common difference Now,…

Q: In an arithmetic sequence -6, -10, -14, -18,….Find the common difference and the next three terms.

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Q: Describe the pattern, write the next term, and write a rule for the nth term of the sequence. 1. 4,…

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Q: Find the common ratio of the geometric sequence -7, -14,-28, ...

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Q: Write the first five terms of the arithmetic sequence. ad - 1 0.2 2. 10 14 21 3333 0.214 7 10 3333-3

A: This question can be solved using the concept of general term of arithmetic sequence.

Q: Write the first six terms of the arithmetic sequence: an = an-1 -0.3, a1 =-1.7

A: To write the first six terms of the arithmetic sequence an=an-1-0.3,a1=-1.7

Q: Find the number of terms in the arithmetic sequence with the given conditions.

A: Given;         a6=-3,  d=0.2,  S=-33 The 6th term of an arithmetic progressing is given by…

Q: Use the formula to find a35 the  35th term of the arithmetic sequence   with a= - 6   and d=13

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Q: Write the first five terms of the geometric sequence, a1 = 20, r = 1/2

A: We have to write first five terms of the geometric sequence where a1=20, r=12. We know that if first…

Q: Consider the geometric sequence: -5, 10, -20, 40, ........Solve, Write a formula for the general…

A: The given geometric sequence: -5, 10, -20, 40,...

Q: Find the 4 term of the geometric sequence 9, 54, 324, ... Answer:

A: Given : 9 , 54 , 324

Q: Write the first six terms of the arithmetic sequence an = an-1 - 0.3, a1 = -1.7.

A: Substitute –1.7 for a1 and 2 for n in the given recursion formula and Obtain the second term of the…

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

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Q: The sixth and eighth terms of an arithmetic sequence are -12 and -22. Find the fifteenth term. a15

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

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Q: Write the first n terms of the geometric sequence a4=125 a5= 625 n=3

A: General term of a GP is: arn-1 where a is 1st term and r is common ratio

Q: Find the 8th term of the arithmetic sequence -4, -9, –14, ... Answer:

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Q: Give the first 4 terms of the geometric sequence with a = 10 and r = 4. Give your answers as reduced…

A: Given: The first term of the geometric sequence is a=110and the common ratio is r=4. To find: · a1·…

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

A: Sum of first n terms of a geometric sequence is given by Sn=arn-1r-1 where a is te first term and…

Q: Write the first five terms of the geometric sequence. a₁ = 2, r = n a1 a2 N 33 24 a5 = = = =

A: Solution of given question is written in below steps.

Q: Write a formula for the general term (the nth term) of the arithmetic sequence : -2, 8, 18, 28,…

A: The given sequence is -2, 8, 18, 28,...   formula used: an=a1+n-1d an=nth terma1=1st termd=common…

Q: The first two terms of the arithmetic sequence are given. Find the missing term. a1 = -0.6, a2 = -14…

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Q: For Exercise, write a formula for the nth term of the geometric sequence. -8, -2, 2' 8'

A: First term= a1= -8 Common ratio = r = (-2)/(-8)=1/4

Q: Given an arithmetic sequence: -3, -6, -9, -12, . Find for the common difference. none of the choices…

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Q: Find the sum of the first 50 terms of the arithmetic sequence below. - 19, - 15, - 11, -7, .. The…

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Q: Find the 18th term of the arithmetic sequence. - 6, - 16, - 26, - 36, ... The 18th term is

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Q: Use a formula to find the sum of the first ten terms of the sequence -7, -14, -21, -28, . . .

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Q: Write the first six terms of the arithmetic sequence shown below. an = an-1+7, a, = -8

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Q: What is the first term in the geometric sequence given that a4 = 40 and r = -? %3D 2

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

A: Here we use formula of sum of n term of geometric series.

Q: Find the 7th term of the geometric sequence -4, 12, -36, 108, -324

A: Given: -4,12,-36,108,-324,.... Formula Used: nth term of geometric sequence is given by an=arn-1

Q: Find the common ratio of the geometric sequence -12, 84, -588,...

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Q: Write the first four terms of the geometric sequence with the given properties. a = -9; r = 2 a, =…

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Q: Consider the arithmetic sequence: 2, -4, -10, -16, ....... Solve, Use the formula for an to find…

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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.