Given a geometric sequence whose first term is 3 and its common ratio is Find i) the 8 term, ii) the sum of the 9" term until 15th term, iii) the sum to infinity of the sequence.

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: 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, if it exists, of the infinite geometric series related to 64(1) . n-1 the infinite…

A: So option (b) is correct.using the formula  S=a/1-r

Q: If the first two terms of a Fibonacci sequence are 32, 83, then what is the next term ?

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Q: The sixth term Of a geometric sequence consisting of positive integers is 96 and the tenth term is…

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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: 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: The amazing grandeur of the Fibonacci sequence was discovered in the structure of Function O…

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Q: PROVE: Reciprocals of a Geometric Sequence If a,, az, az, ... is a geometric sequence with common…

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Q: 11 and the 13" term, a,3, is equal to 33. Find the value of the 17t" For a given geometric sequence,…

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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: Find the tenth term of the geometric sequence withfirst term 48 and common ratio - 1/2.

A: The give sequence is geometric sequence. first term is 48 and common ratio is -12. General term of…

Q: The eight term of an arithmetic sequence is 216 and the seventeenth term is 369. Find the following…

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Q: The first term of a geometric sequence is  1536 and the common ratio is 1 /2 . Which term of the…

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Q: Find the sum of the first 27 terms of the arithmetic sequence. 19, 28, 37, 46, .. What is the sum of…

A: Topic = Sequence

Q: How many terms of the arithmetic sequence {2,4,6,8,...}will give a sum of 600?

A: The given arithmetic sequence is {2,4,6,8,.....} an the sum is 600 We know,

Q: what is the 7th geometric sequence where the first term is 4 the common ratio is 3

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Q: In our discussion about Fibonacci sequence, we said that Fibonacci numbers occur in the species of…

A: finonacci sequence is defined as sequence in which each term is the sum of two proceeding terms.…

Q: The second term of a GP is 24 and the sixth term is 121.5, the first term of the sequence will be

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Q: The 5th term of a geometric sequence is 45 and the 8th term is 360. Determine the 20th term.

A: Let the first term of the sequence is a and the common ratio is r. We know that the formula for the…

Q: Find the 7tn term of the geometric sequence whose common ratio is and whose first term is 4.

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Q: The second term of a geometric sequence is 14 and the sixth term is 224. fin the nth term and assume…

A: we have to find the nth term

Q: What will be the sum of arithemetic sequence with first term a1=1 and second term a2=24

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Q: Provide five pictures that exhibit the concept of Fibonacci Sequence and explain how the pictures…

A: Consider the following pictures of flowers.

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

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Q: How many terms are there in an arithmetic sequence with first  term 12, common difference −2, and…

A: Using formula.

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

A: Given that the sum of second and tenth terms of arithmetic sequence is equal to 12.  Now in…

Q: Find the common ratio and write out the first four terms of the geometric sequence 4n-2 3 (Round any…

A: As per our guideline if multiple questions are posted we are supposed to  answer only the first one.…

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: If the 100th term of an arithmetic sequence is 902, and its common difference is 9, then its first…

A: A sequence is a function with domain being the set of natural numbers and the range being the set of…

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: Determine if the sequence is a geometric sequence. If it is, find the common ratio and write the…

A: Given: A sequence: 294,42, 6,6/7,.................................. To find: If sequence is…

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: 6. Find the indicated nth term of the geometric sequence. 22th term : 8, 32, 128, ...

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Q: To at least 3 significant figures, find the sum of the first 45 terms of this geometric sequence: -…

A: The given problem is to find the sum of first 45 terms of the given geometric sequence,  Given…

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: Use the formula for the general term (the nth term) of an arithmetic sequence to find the value of…

A: *to find:- value of the 32nd term in Arithmetic Sequence.

Q: The SECOND and THIRD term in a geometric sequence is 16 and 5th term is 54. Find the sum of the…

A: Topic:- sequence and series

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

A: We will find out the required value.

Q: Find the sum of the first 150 terms of the arithimetic sequence 6,9/2,3,........

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Q: The fourth term of a geometric sequence is 135 3645 and the seventh term is 4. Find the first 32…

A: Given :                     The fourth term of the geometric sequence is 1354 and seventhterm of…

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

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Q: Find the 36th term of the arithimetic sequence with third term 10 and eight term 25?

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Q: insert four fractions between the numbers 1 and 3 so that the size numbers (including 1 and 3)…

A: In an Arithmetic Sequence, the difference between one term and the next is a constant. That value…

Q: The first term of an arishmetic sequence is 5 and the common difference is 5 find the nth terms of…

A: The first term of an arithmetic sequence is 5. The common difference is 5. Formula: The n-th term of…

Q: Find the infinite sum of the geometric sequence with a = 6, r = if it exists. %3D %3D

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Q: If the 100th term of an arithmetic sequence is 600, and its common difference is 6, then its first…

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Q: term in a geometric sequence whose 3rd term is 5/4 and 6th term is 10?

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

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