In an arithmetic sequence, a = 19 and a, = 31. Determine a formula for a, the n" term of this sequence.

Q: Find the 80th term of the following arithmetic sequence. 6,15,24,33,

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Q: The 12th term of an arithmetic sequence is 59, and the fifth term is 31, Find the 20th term. 820 =

A: Topic = Sequence

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: The first term of an arithmetic sequence is equal to 6 and the common difference is equal to 3. Find…

A: The first term of the arithmetic sequence, a1 =6 he common difference,d= 3

Q: Find the 76th term of the following arithmetic sequence.  13, 17, 21, 25,

A: I have given an answer in step 2.

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

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Q: Find the sum of the first eight terms of the arithmetic sequence in which the fourth term is 9 and…

A: a4=9  &  d=-5 Now consider, a4=9⇒a+3d=9⇒a+3-5=9⇒a=24

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

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Q: Find the 94th term of the arithmetic sequence 25, 31, 37, ...

A: Arithmetic Progression is sequence of numbers where any two consecutive number difference is same.…

Q: in an arithmetic sequence, the first term, a1, is equal to 1, and the seventh term, a7, is equal to…

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

Q: Which term of the arithmetic sequence 1, 9, 17, 25, ... is 345? It is the th term.

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Q: The 20th term of an arithmetic sequence is 96, and the common difference is 5. Find the nth term.

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Q: The first two terms of the arithmetic sequence are given. Find the missing term. a1 = 6, a, : = 19…

A: Given that first term a1 = 6 and second term a2 = 19 We have to find fifth term a5 = ?

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 fourth term of an arithmetic sequence is 13 and the second term is 3, find the 24th term.

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Q: Find the 12th term of the geometric sequence 5, 20, 80, ...

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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: The first term of an arithmetic sequence is -1 and the fifteenth term is 27. Find the sum of the…

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Q: formula

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Q: Find the sum of the first 4 terms of a geometric sequence with a = 270 and r= The sum is 2/3

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Q: Find the 8th term of the geometric sequence 6, 18, 54, ...

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

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: From the arithmetic sequence it is known that the number of the 5th and 7th terms is 34. The sum of…

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Q: Find the sum of the first 11 terms of the geometric sequence: 3, -6, 12, -24, . .

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Q: Find the 12th term of the geometric sequence 7, –35, 175, ...

A: Solving the problem by obtaining the 12th term of the sequence.

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: 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 tenth term of an arithmetic sequence is 40 and the twentieth term is 30. Find the common…

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Q: For a given arithmetic sequence, the 29 term, a,o, is equal to 243, and the 89" term, ago, is equal…

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Q: The sixth term of an arithmetic sequence is 28 and the ninth term is 36.Calculate the sum of the…

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Q: The second term of an arithmetic sequence is 24 and the fifth term is 3. Find the common difference.

A: The second term of an arithmetic sequence is 24 and the fifth term is 3. Find the common difference.

Q: The 7th term of an arithmetic sequence is −41, and the common difference is −2. Find the first term.

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Q: From the arithmetic sequence it is known that the number of the 5th and 7th terms is 34. The sum of…

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Q: Find the 13th term of the geometric sequence 7, 21,63, ...

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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: Find the sum of the first 50 terms of the arithmetic sequence below. - 19, - 15, - 11, -7, .. The…

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Q: Given the first four terms in an arithmetic sequence, find the recursive formula. 39, 34, 29, 24

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Q: In an arithmetic sequence the ratio of the third to the eight term is 6:1 and the sum of the third…

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Q: Find the 66th term of the arithmetic sequence 25, 10, -5, ...

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

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Q: Find the 18th term of the arithmetic sequence 3,10, 17, 24, ....

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Q: Find the 55th term of the arithmetic sequence 8, 24, 40, ...

A: We have to find the 55th term

Q: Find the 9th term of the geometric sequence 8, 32, 128, ...

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Q: Find the sum of the first 12 terms of the geometric sequence: 2, 6, 18, 54, . . .

A: Consider the following geometric sequence: 2, 6, 18, 54,... First term of the sequence: a=2 Common…

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 50 terms of the arithmetic sequence below. - 11. -7, -3, 1, ..

A: Sum of n-terms:            Sn= n22a+(n-1)d ; where a is the first term and d is the common…

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: If the fifth term of a geometric sequence is 64/27 and the sixth term is 256/81 , find the sum of…

A: Let the G.P. is a, ar, ar2, ar3, . . .arn-1 Sum of first n terms is given by, Sn=a(rn-1)r-1, r>1…

Q: The nth term in a sequence is an. What is the next term position and value represented?

A: Given that :- nth term of a sequence is an next term position =?