The sum of the first five terms of the arithmetic sequence is -5 and the sixth term is -10. The sum of the first 17 terms in the series is A. -470 D. -323 В. -418 Е. -280 С. -369

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: Find the sum of the first 90 terms of the arithmetic sequence with first term 6 and common…

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

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Q: If the 8th term of an arithmetic series 39 and the 20th term is -33. What is the common difference?

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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 third term of the arithmetic sequence is 72 and the number of the third term with the fifth term…

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Q: m of the first 10 terms in an arithmetic

A: Given, the sum of the first 10 terms in an arithmetic sequence is 530.

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 nine terms of the geometric sequence:2, -6, 18, -54, . . . .

A: we have to find the sum of the first nine terms of the geometric sequence: 2, -6, 18, -54, . . . .

Q: What is the sum of the first 50 terms of the arithmetic sequence whose first term is a1=8, with…

A: We will find out the required value.

Q: Find the sum of the first 25 terms of the sequence. 46, 8, 10, S25-

A: This question is related to arithmetic progression .

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 40 terms of the sequence. {1, 6, 11, 16, …}

A: Given sequence is 1, 6, 11, 16, .......

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 five terms of geometric sequence. a1 = 6.324, r = 2.598

A: Given, geometric sequence with a1 = 6.324, r = 2.598

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

A: Given geometric sequence is,

Q: Insert the indicated number of arithmetic means between the given first and last terms of the…

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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 sum of the first 15 terms of the arithmetic sequence: -6, -3, 0, 3, . . . .

A: We have to find the sum of first 15 terms of the sequence: -6, -3, 0, 3, .... We know the sum of n…

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 35 terms of the arithmetic sequence −1, −9, −17, −25, ….

A: Given the arithmetic series-1,-9,-17,-25..

Q: Find the sum of the first 23 terms of the arithmetic sequence 4m – 3, –10, .

A: For the terms to be in an AP , the first term should be 4 and not 4m which is a mistake.

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: Find the sum of the first 8 terms of the geometric sequence if the first term is 5 and the common…

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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: given that the 1st and 9th terms of an arithmetic sequence as -2 and 22 respectively, find the…

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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 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 first 97 terms of the arithmetic sequence      9,3,-3,-9,-15

A: Given: The arithmetic sequence as 9,3,-3,-9,-15,... To find: The sum of first 97 terms of the given…

Q: The first term of an arithmetic sequence is equal to 200 and the common difference is equal to -10.…

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Q: what is the sum of the first four thousand terms of the geometric sequence with initial term 3 and…

A: Given first term of G.P, a=3 And common ratio, r=-1 Here, r<1 We know that if r<1 then sum of…

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

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Q: The sum of the first 10 terms of an arithmetic sequence is 530. What is the first term if the last…

A: I have appended the formula used in the solution part.

Q: Find the sum of the infinite geometric series if it exists.

A: To find: The sum of given infinite geometric series. Given information: The series is 1-12+14-18+⋯…

Q: If the sum of second and tenth terms of arithmetic sequence is equal to 12, find sum of fourth,…

A: A sequence (an) is said to be arithmetic is a2-a1=a3-a2=a4-a3=...=d(say)That is, d=an-an-1 for…

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

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Q: The sum of the first 48 terms of an arithmetic series is 4 times the sum of the first 36 terms of…

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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: Find the sum of the first 12 terms of the geometric sequence whose first term is 11 and whose common…

A: Given a geometric series with first term 11 and common ratio 5.

Q: The twelfth term of the arithmetic sequence is 118, and the eighth term is 146. Find first term and…

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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: Determine the sum of the first 8 terms of the geometric sequence. 24.8..

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Q: certain bacteria triples in amount everyday. If there are 100 bacteria presemt during day 1, what…

A: To calculate total count of bacteria after 10 days.

Q: Find the sum of the first 109 terms of the arithmetic sequence: 3, 7, 11, 15, 19, ..

A: Given : 3, 7, 11, 15, 19…

Q: Find the first four terms of the arithmetic sequence whose first term is −1 and whose common…

A: Given that first term of arithmetic sequence is -1 and common difference is 9.

Q: Determine the sum of the first four terms of the geometric sequence where a = 3 and r= -1. The sum…

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Q: The sum of the first 33 terms of the geometric sequence 1, 2, 4

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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.