Find the first 3 terms of the geometric sequence with a, = -160 and a, = 1,280. а. 5,-10, 20 с. 5, -20, 80 b. -5, 10, –20 d. -5, 20, -80

Q: Find the sum of the first 50 terms of the arithmetic sequence -5, -3, -1, 1, ..

A: You have posted multiple questions. As per the instruction, we will be answering only the first…

Q: The sum of the first n terms of a geometric sequence is 341. If aj = and a4 , what is the value of…

A: 1. Geometric progression (GP) is a type of sequence where each succeeding term is produced by…

Q: Determine the sum of the first 7 terms of the geometric sequence. 3,12, 48, ... S7 =

A: Let, s0,s1 ,s2 ,.... be geometric sequence with common ratio r . Then , the nth term of the sequence…

Q: Find the sum of the first eight terms of the arithmetic sequence in which the fourth term is 9 and…

A: a4=9  &  d=-5 Now consider, a4=9⇒a+3d=9⇒a+3-5=9⇒a=24

Q: Find the first 6 terms of the sequence with first term8 and nth term an = an-1 + 3.

A: Arithmetic Sequence :                                          An arithmetic sequence is a…

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

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Q: Find the sum of the first 130 terms of the arithmetic sequence 8, , 7, ....

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Q: Find the sum of the first 14 terms of the geometric sequence: -1/24, 1/12, -1/6, 1/3 , . . . .

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Q: Find the 10th term of the geometric sequence 10,-50, 250,…

A: First find the common ratio r of the geometric sequence than with the help of nth term express find…

Q: Find the sum of the first 14 terms of the geometric sequence: - 3/2, 3, -6, 12, . . . .

A: The given geometric sequence is -32,3,-6,12,.. here the first term of the sequence is -32. find…

Q: The first two terms of the arithmetic sequence are given. Find the missing term. a1 = 6, a, : = 19…

A: Given that first term a1 = 6 and second term a2 = 19 We have to find fifth term a5 = ?

Q: Determine the sum of the geometric sequence if it exist. If the sum does not exist, write DNE. 8,…

A: Given,            A sequence is 8,-12,18,27,.....We know that,           A sequence is in Geometric…

Q: Find the sum of the first 50 terms of the arithmetic sequence: -10, -6, -2, 2, .....

A: Given: Given:The arithmetic sequence: -10,-6,-2,2...To determine:Sum of first 50 terms of the given…

Q: Find the tenth term and the sum of the first ten terms of the arithmetic sequence whose first two…

A: Let the first term is a1=4+3 and the second term is a2=3. The common difference is,…

Q: Find the sum of the first 37 terms of the arithmetic sequence. 29, 36, 43, 50,

A: Given,          The sum of the first 37 terms of the arthmetic sequence             29 , 36 , 43 ,…

Q: Find the sum of the first 8 terms of the geometric sequence 2, 6, 18, 54, ..

A: From the given statement, the geometric sequence is 2, 6, 18, 54, …Obtain the sum of the first 8…

Q: Find the sum of the first 4 terms of a geometric sequence with a = 270 and r= The sum is 2/3

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Q: The geometric mean between the first two terms in a geometric sequence is 32. If the third term is…

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Q: Find the sum of the first 11 terms of the geometric sequence: 3, -6, 12, -24, . .

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Q: Find the sum of the first 14 terms of the geometric sequence: , 3, -6, 12, ...

A: Given geometric sequence is,

Q: What is the 8th term of the geometric sequence 48, 24, 12, 6, 3, ...

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Q: Find the sum of the first 11 terms of the geometric sequence: 4, -12, 36, -108, . . . .

A: Sum of first n terms of a geometric sequence a, ar, ar2,... is Sn=a1(1-rn)1-r Where a1 is first term…

Q: Write the first five terms of the geometric sequence whose first term is 8, and whose common ratio…

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Q: Find the nth term an of a sequence whose first four terms are given. -1, 4, -9, 16,...

A: nth term is given.

Q: The median of the first five terms of a geometric sequence is 4. The ratio of the first term to the…

A: Let the terms of the GP be a,ar,ar^2,ar^3..

Q: Find the sum of the first 15 terms of the geometric sequence: 5, -15, 45, -135, . . . .

A: Given geometric sequence is 5,-15,45,-135,... First term of the sequence, a= 5 Common ratio of the…

Q: Find the first four terms of the arithmetic sequence whose first term is 9 and whose common…

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Q: Find the sum of the first 18 terms of the geometric sequence: 2, -8, 32, -128, . . . .

A: The given geometric sequence: 2, -8, 32, -128 first term (a) = 2 common ratio r=ara=-82=-4 number of…

Q: Determine the sum of the first 8 terms of the geometric sequence. 3,-3, 3,

A: Given a geometric sequence.

Q: Write the first six terms of the geometric sequence with the first term, a1, and common ratio, r. a1…

A: We have to solve given problem:

Q: Find the sum of the first 12 terms of the geometric sequence shown below. 4​,12,,36,108,...   the…

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Q: What will be the sum of first 6 terms of he geometric sequence with the first term a1=2 and a2=24

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Q: Find the sum of the first n terms of the geometric sequence with the given values. a, = 320, r= k --…

A: Given: a1=320r=-k2n=10 Also, the sum of  first n terms of the geometric sequence for negative value,…

Q: Write down the first six terms of the geometric sequence with first term 5 and common ratio -1.…

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Q: Find the sum of the first 14 terms of the geometric sequence shown below. 2, 6, 18, 54,... ***** The…

A: Given, Geometric sequence 2, 6, 18, 54 .... The objective is to find the sum of the first 14 terms.…

Q: find the nth term an of a sequence whose first four terms are given.  -1,4,-9,16...................

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Q: Find the sum of the first 14 terms of the geometric sequence shown below. 2, 6, 18, 54, .. The sum…

A: Given that :  2 , 6,18,54,..... By using geometric sequence...  r = difference ratio.  a = first…

Q: Find the sum of the first 20 terms of the sequence. 1, 4, 7, 10, ..

A: By using sum formula, we calculate the required sum of the sequence.

Q: Find the sum of the first 11 terms of the geometric sequence 4, -4, 4, .. 4

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Q: Find the nth term of the geometric sequence. -4, 20, -100,... an

A: This is geometric series . Here is given solution with steps.

Q: Fine the sum of the first 127 terms of the arithmetic sequence 14,9,4, 

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Q: Find the sum of the first ten terms of the arithmetic sequence in which the first 3 and the…

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Q: Find the sum of the first 38 terms of the arithmetic sequence with the first term 4 and the 38th…

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Q: Find the sum of the first 12 terms of the geometric sequence: 2, 6, 18, 54, . . .

A: Consider the following geometric sequence: 2, 6, 18, 54,... First term of the sequence: a=2 Common…

Q: Find the sum of the first 11 terms of the geometric sequence: 7, -21, 63, -189, 567, . . . .

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Q: Write the first six terms of the geometric sequence with the first term, a1, and common ratio, r. a1…

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Q: Find the sum of the first 50 terms of the arithmetic sequence below. - 11. -7, -3, 1, ..

A: Sum of n-terms:            Sn= n22a+(n-1)d ; where a is the first term and d is the common…

Q: Find the sum of the first 8 terms of the sequence −1, −7, −49, −343, . . . (geometric)

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Q: Find the first four terms of the arithmetic sequence whose first term is -6 and whose common…

A: We have to find first four terms of the arithmetic sequence whose first term is -6 and common…

Q: Find the sum of the first 11 terms of the geometric sequence shown below. 2, 8, 32, 128, . .... The…

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