A) Find the sum of the first fifteen term of arithmetic sequence with first term 20 and common difference 5.   B) A geometric sequence has first term 1. The ninth term exceed the fifth term by 240. Find possible values for the tenth term.

Q: If third and seven terms of geometric sequence is 45 and 100 respectively.then find its nineteenth…

A: Given data: The third term is a3=45. The seventh term is a7=100.

Q: Find 65th term of the arithmetic sequence with first term 5 and common difference -1/2

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Q: The 3rd and 4th terms of an arithmetic sequence are 13 and 18, respectively. What is the 50th term…

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Q: 1. The third and eighth term of a geometric sequence are 8 and – respectively. What is 1 4 the first…

A: 1.The nth term of geometric sequence;an = a rn-1a3 =a r28=a r2 ...(1)a8 =a r714=a r7…

Q: 1. The first term of an arithmetic sequence is 5. The eleventh term is 125. What is the common…

A: GivenFirst term of arithmetic sequence 'a' = 5Eleventh term of arithemetic sequece 'T_11' = 125

Q: What is the sum of the 1st 11 terms in an arithmetic sequence whose 1st term is –40 and the 11th…

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

Q: What is the 46th term in the arithmetic sequence –1.5, –1.3, –1.1, -0.9, .?

A: we have to find out the 46th term

Q: The eight term in a geometric sequence with a second term 3 and fifth term 81/8, multiply with the…

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Q: How many terms of the arithmetic sequence {1,3,5,7,...} will give a sum of 961?

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Q: Find the 73rd term of the arithmetic sequence with first term 1 and common difference − 1 2 .

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Q: sequer with first term 6 and 56th term 226. 41. Find the sum of the first 70 terms of the arithmetic…

A: 41.In an arithmetic sequence, first term=10 and common difference=12

Q: Fibonacci sequence

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Q: Provide an Arithmetic Sequence, by either giving a General rule or explicitly listing the first five…

A: We have to provide an Arithmetic Sequence, by either giving a General rule or explicitly listing the…

Q: 41. Find the sum of the first 70 terms of the arithmetic sequence with first term 10 and common…

A: "The student ask for the question number 41, so I am solving the question number 41." Given that,…

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

A: given

Q: ind the 85th term of the arithmetic sequence with first term 1 and common difference -1/2

A: As we know that the expression for the nth term of the arithmetic sequence is: Tn=a+n-1d Where 'a'…

Q: Determine the sum of first 20 terms of the arithemetic sequence if the first term is 2 and second…

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Q: Find the sum of the 1st 17 terms of a geometric sequence with 1st term 6 and common ratio 3

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Q: What are the next three terms of the geometric sequence 3, 12, 48, . . . ?

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Q: What is the 46th term in the arithmetic sequence –1.5, –1.3, –1.1, -0.9, ...?

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Q: The 1st, 5th, and 13th terms of an arithmetic sequence re the first three terms of  geometric…

A: Let the first term of arithmetic series be a0 So the fifth term is And the thirteenth term is   So…

Q: Find the sum of the first 28 terms of the arithmetic sequence. 36, 44, 52, 60, .. What is the sum of…

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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: Which term of the arithmetic sequence 7,12,17,... is 352?

A: an=a+(n-1)d

Q: 1. Find the 30th term of an arithmetic sequence whose ninth term equals 199 and fifteenth term…

A: Given: T9=199, T15=343 we know that nthTn term of an arithmetic progression is given by Tn=a+n-1d…

Q: Exercise 4. If the 1st and 15th terms an'arithmetic sequence are -5 and 23, respectively, find the…

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Q: Find the 83rd term of the arithmetic sequence with 1st term 6 and common difference −1/2

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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: – 16, .. Write the arithmetic sequence – 4, – 8, – 12, in the standard form: An

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Q: What three numbers can be inserted between 81 and 16, so that  the five numbers form a geometric…

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Q: 1) Find the 8th term of the geometric sequence 100, 20, 4, ...

A: According to our guidelines , We can answer only first question. Kindly re-post other remaining…

Q: If the 100th term of an arithmetic sequence is 182, and its common difference is 2, then its first…

A: Given that the 100th term of an arithmetic sequence is 182 and its common difference is 2.

Q: The second and fifth terms of a geometric  sequence are 30 and 3750, respectively. Which term of the…

A: nth term of a geometric sequence is given by- an=arn-1 Where a is the first term and r is the common…

Q: The 4th term and 15th term of an arithmetic sequence are 24 and 123 respectively. Find the 72nd…

A: Given problem Given that   The 4th term and 15th term of an arithmetic sequence are 24 and 123…

Q: Find the sum of the first 40 terms of the arithmetic sequence with first term 3 and 40th term 120

A: According to question given thatwe have to calculate the first 40 terms sum of the arithmetic…

Q: 4. The 1st term of an arithmetic sequence is -168 and every term after the first is 8 more than term…

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Q: How many terms of the arithmetic sequence 20, 18, 16.... must be added so that the sum will be -100?

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Q: The sum of the first three terms of an arithmetic sequence is 45, and its 5th term is 24. What is…

A: We can find the 8th term of the GP as below

Q: what is the second term of the fibonacci sequence when the first term and the third term are 610 and…

A: First term and the third term of Fibonacci sequence are 610 and 1597  To find:- second term of…

Q: Find the 100th term of the arithmetic sequence with first term 2 and ninth term 18

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Q: Find the 100th term of the arithmetic sequence with first term 7 and ninth term 31.

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Q: An arithmetic sequence has first term aj = 1 and fourth term a4 = 16. How many terms of this…

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Q: Find the 100th arithmetic sequence with 1st term 5 and eighth term 19

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Q: 1 and whose first term is 8. 2 Find the 9th term of the geometric sequence whose common ratio is

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Q: Find the 70th term of the arithmetic sequence 18, 34, 50,

A: Given,           The arithmetic sequence is 18, 34, 50.....and so on.

Q: An arithmetic sequence has a first term of 0 and a 9th term of 12. Which term number corresponds to…

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Q: 2) The sum of the first 16 terms of an arithmetic sequence is 212 and the fifth term is 8. a) Find…

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Q: Find the sum of the first 60 terms of the arithmetic sequence with third term 10 and eighth term 25

A: Let, first term is a, And the common difference is d. Sum of first 60 term =(60/2)(2a+59d)…

Q: Find the sum of the first n terms of the arithmetic sequence.−9 + (−12) + (−15)+ ... (to 10 terms)…

A: It is an arithmetic series with  Now sum of the first n terms is,

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…

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.