If the 100th term of an arithmetic sequence is 600, and its common difference is 6, then its first term a1 its second term az = its third term az =

Q: If the first term a, and common difference d of an arithmetic sequence are 3 and 4 respectively then…

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

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Q: If the third term of a geometric sequence is 12,500 and the sixth term is 800 find the first term…

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Q: What is the closed form for the infinite geometric sequence beginning  4,2,1,1/2 where the first…

A: Given :The infinite geometric sequence : 4, 2, 1, 12, ..

Q: If the 100th term of an arithmetic sequence is 200, and its common difference is 2, then its first…

A: Given an arithmetic sequence100th term of this A.P=a100=200common  difference=d=2

Q: Find the number of terms in the given finite arithmetic sequence 12,8,4,0,...-188

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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: If the 100th term of an arithmetic sequence is 893, and its common difference is 9, then its first…

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Q: The 12th term of an Arithmetic sequence is 240 while the 7th term is 196. Find the 10th term of the…

A: Consider the given 12th term of an Arithmetic sequence 240 and  term 7th of an Arithmetic sequence…

Q: If the 100th term of an arithmetic sequence is 584, and its common difference is 6, then its first…

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

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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 first 70 terms of the arithmetic sequence with the first term 6 and common…

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Q: 2. The missing term of the geometric sequence 45, [ ],1620, . is ...

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Q: If the 100th term of an arithmetic sequence is 691, and its common difference is 7, then its first…

A: nth term of an arithmetic sequence is given by, an = a1+ (n - 1)d  where a1 is first term and d is…

Q: Find the infinite sum of the geometric sequence with 2 if it exists. 7 a = 4, r = -

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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: Find the sum of the first 15 terms of the arithmetic sequence: 3, 6, 9, 12, .........

A: Given:A.P  3,6,9,12,.....a1=3,  a2=6d=a2-a1d=6-3d=3, a=3, n=15Sn=n2[2a+(n-1)d]

Q: Find the thirteenth term of the geometric sequence from the given information. Express the term as…

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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 are the explicit equation and domain for an arithmetic sequence with a first term of 7 and a…

A: The Arithmetic Sequence Explicit formula allows the direct computation of any term for an arithmetic…

Q: 2. If the first term of an arithmetic sequence is 3 and the common difference is 4, what is the 23rd…

A: Topic = Sequence

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: A sequence in which each term after the first differs from the preceding term by a constant amount…

A: A sequence in which each term after the first differs from the preceding term by a constant amount…

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: 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: 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: 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: If the first term of a geometric sequence is 0.9 and its ratio is 0.2, what is the sum of the first…

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Q: Find the 24th term of the arithmetic sequence if the first term is 3 and common ratio is 2.

A: First term =  a1 = 3  Common ratio = r = 2  We have to find a24 .

Q: Find the sum of the finite arithmetic sequence. Sum of the first 150 positive odd integers

A: To determine the sum of the first 150 positive odd integers.

Q: If the 100th term of an arithmetic sequence is 476, and its common difference is 5, then its first…

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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: If the 4th term and the 14th term of an arithmetic sequence are 13 and 73 respectively, the sum of…

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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: 1. Find the sum of the first eight terms of the geometric sequence 3,6,12, * ...

A: 1. We have find the sum of first eight terms of the geometric sequence 3,6,12... Formula for sum of…

Q: If the first term a, and common difference d of an arithmetic sequence are 3 and respectively then…

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Q: Find the infinite sum of the geometric sequence with 3 if it exists. a = 2, r =

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Q: If the 100th term of an arithmetic sequence is 213, and it's common difference 2, then what is the…

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Q: Find the sum of the first 10 terms of an arithmetic sequence formed by odd integers starting from…

A: The objective is to find the sum of first 10 terms of an arithmetic sequence formed by odd integers…

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

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Q: Find the sum of the first 50 terms of the arithmetic sequence with the first term 10 and the common…

A: The first term of the arithmetic sequence is a=0. The common difference is d=12. The number of term…

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 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.

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.