If the 100th term of an arithmetic sequence is 893, and its common difference is 9, then its first term a1 its second term az = its third term az =

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

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

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Q: Find the sum of the finite arithmetic sequence. Sum of the first 80 positive odd integers

A: Find the sum of the finite arithmetic sequence. Sum of the first 80 positive odd integers.

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

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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: 2) Find the sum of the first 100 terms of the arithmetic sequence: 2, 4, 6, 8, 10, 12, ...

A: The arithmetic sequence: 2,4,6,8,10,12,.......

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

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

A: Given:

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 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 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: Find the sum of the first 20 terms of the arithmetic sequence:4, 10, 16, 22, . . . .

A: Given arithmetic sequence is: 4, 10, 16, 22, ..... The first term = a = 4 The common difference:…

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: 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: The middle term of an arithmetic sequence equals 17, the last term = 32, and the fourth term = 11.…

A: Given middle term = 17 Last term = 32 Fourth term = 11 T4 = a+3d = 11 Middle term = T6 = a+5d = 17…

Q: What is the sum of the first 13 terms of the given geometric sequence: 1,2,4,8,16,

A: To solve this problem, we use  the result of the sum of geometric sequence.

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: 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: The 13th term of a sequence is 8, and the 17th term is 8. What is th

A: Given, the 13th term of a sequence is 8 and 17th term of sequence is 8.

Q: the 4th term of an arithmetic sequence is 7 and its 7th term is 16, find its 10th term

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

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

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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 sum of the first 38 terms of the arithmetic sequence with the first term 4 and the 38th…

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Q: Find the sum of the first 91 terms of the arithmetic sequence: 6,−4,−14,−24,−34,

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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: a. What would be the population size in 7 years. b. Fund the sum of the first eight terms of the…

A: Given; P0=5000 Rate=2%=0.02 the sum of the first eight terms of the sequence 18,-14,12,.... Formula…

Q: Find the sum of the finite arithmetic sequence. Sum of the first 70 positive odd integers

A: The given question is solved below.

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 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: If 5, 25 are two adjacent terms in a geometric sequence ( in that order), then the next term is

A:

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.