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Q: Find the sum of the first 25 terms of the arithmetic sequence: 7, 19, 31, 43, .....

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Q: Find the sum of the first 90 terms of the geometric sequence. Show your work with the formulas 4800,…

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Q: Find the 100th term of the arithmetic sequence with first term 1 and ninth term 17.

A: It is given that the first term of the arithmetic sequence is 1 and the ninth term is 17.

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 5th term of the geometric sequence with first terma1 = 5 and common ratio r = - 2

A: A geometric sequence is a sequence where each term is found by multiplying the previous term by a…

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

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Q: Determine the first six terms of the sequence defined by t₁ = -5 and t = -3t-1 + 8. -5, 23, -61,…

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Q: Find the sum of the first 40 terms of the arithmetic sequence whose first term is −15 and whose…

A: Given,         The sum of the first 40 terms of the arithmetic sequence whose first term is −15 and…

Q: -) Determine the first six terms of the sequence defined by t₁ = -5 and t = 3t-1 + 8. 5, 23, -61,…

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Q: 2. The third term of an arithmetic sequence is x and a, = 19x + 6. Find the twelfth term. 3. Php…

A: given

Q: Find the sum of the first eight terms of the sequence 1/8,−1/4 ,1/2 ,.... please show working

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Q: What is the sum of the first 10 terms of the sequence {300, 150, 75, ...}?

A: Given: 300,150,75,...... Formula Used: Sn=a1-rn1-r

Q: Find the sum of the first 7 terms of the geometric sequence: 8, 4, 2, 1, . . . .

A: To Find The sum of the first 7 terms of the geometric sequence: 8,4,2,1,…. Concept: Sum of first…

Q: Find the sum of the first 14 terms of the arithmetic sequence. 5, 10, 15, 20, 25, ...

A: Given:

Q: Find the first term and the common difference of the arithmetic sequence whose 9th term is – 28 and…

A: To find: The first term and common difference of the arithmetic sequence. Given: The 9th term of the…

Q: What is the general formula and the 40th term of the linear sequence -6, 1, 8, 15, 22, ...

A: The linear sequence is -6,1,8,15,22......

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 first term and the common difference of the arithmetic sequence whose 6th term is – 9 and…

A: Explanation of the solution is given below...

Q: Find the sum of the first 34 terms of the arithmetic sequence with first term 3 and 34th term 69.

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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: What are the next three terms of the geometric sequence 4, 24, 144, ... ? O 864, 3,456, 13,824 864,…

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Q: Find the 74th term of the arithmetic sequence –8, 0, 8, ...

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Q: What is the 11th term of the geometric sequence −1.5, −3, −6, −12, ...

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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 13 terms of the arithmetic sequence. 5,9, 13, 17. . What is the sum of the…

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

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Q: What is the first term of a geometric sequence which fourth term is -40 and with common ratio of -2?

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

A: Given a geometric sequence.

Q: State the first five terms of the arithmetic sequence tn=5(n)

A: The given nth term of the arithmetic sequence is tn=5(n)

Q: Write the first five terms of the sequence with the given nth term. 2, - (-)" = a3 a5 2.

A: The objective is to write first five terms of the sequence with the given nth term.

Q: Find the sum of the finite geometric sequence whose first term is 1.6, whose ratio is 0.5, and which…

A: Gp

Q: Find the first four terms of the sequence given by the following. a,= 5-(-2)", n=1, 2, 3... %3D

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Q: Find the sum of the first five terms of the geometric sequence with first term 3 and common ratio 2.

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

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Q: Calculate the sum of the first 38 terms in the sequence. 7, 3, - 1, – 5, ... | The sum is

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Q: Find the sum of the first 90 terms of the arithmetic sequence with first term 10 and common…

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Q: Find the sum of the first 20 terms of the sequence 5, 10, 15, 20, ...

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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: the sum of the first 40 terms of the arithmetic sequence.   −16​,−25​,−34​,−43​,...

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

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Q: 4. What are the first five terms of the sequence for a1--2 and an-2an-1+5?

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

A: Topic - geometric progression

Q: Find the nth term of a sequence whose first several terms are given. 7, 2, –3, –8, ... an

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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 indicated term of following sequence  1,1,-3,5,-7,9 ,---------a10 1,3,12,60---------a6

A: In this problem, we have to identify the relationship between the successive terms of the series to…

Q: Find the first term and the common difference of the arithmetic sequence whose 11th term is – 15 and…

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Q: Find the sum of the first 100 terms of an arithmetic sequence with 15th term of 90 and first term of…

A: 15th term is 90 and the first term is 6 of an arithmetic sequence. To find the sum of its first 100…

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

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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.