The twelfth term of the arithmetic sequence is 118, and the eighth term is 146. Find first term and the n-th term.

Q: Find the nth term, the fifth term, and the eighth term of the geometric sequence.8, 4, 2, 1....

A: Find the nth term, the fifth term, and the eighth term of the geometric sequence.8, 4, 2, 1....…

Q: Find the 81st term of the arithmetic sequence 24, 11, -2, ...

A:

Q: Find the nth term, the fifth term, and the tenth term of the arithmetic sequence.-7, -3.9, -0.8,…

A:

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

A:

Q: Find the nth term, the fifth term, and the eighth term of the geometric sequence.4, 1.2, 0.36,…

A: Given geometric sequence is 4, 1.2, 0.36, 0.108,… To find the nth term, fifth term and eight term of…

Q: Find the infinite sum of the geometric sequence with a = 6, r 2 if it exists.

A: Here,  a=6, r=2/6

Q: Find the 12th term of the geometric sequence if the first term is 2 and common difference is 3.

A:

Q: Find the 14th term of the given arithmetic sequence. 360, 356, 352, ...

A:

Q: Find the 10th term of the geometric sequence 10,-50, 250,…

A: First find the common ratio r of the geometric sequence than with the help of nth term express find…

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

A:

Q: The 7th term of an arithmetic sequence is -37, and the 10th term is -121. Find a,d and the general…

A:

Q: Find the fifth term of the geometric sequence withfirst term 64 and eighth term1/2.

A: First term=a1=64Eighth term=a8=12 Now consider, a8=12⇒a1·r7=12…

Q: Find the 38th term of a sequence where the 15th term is 0 and the common difference is 1.

A: see below the answer  here we have use the sequence  as arithmetic sequence

Q: The third term of a geometric sequence is 5, and the sixth term is -40. Find the eighth term.

A: The nth term of a geometric sequence is given by an=a1rn-1, where a1 is the first term of the…

Q: Find the seventh term of the geometric sequence whose second and third terms are 2 and -√2.

A:

Q: an arithmetic sequence is 75 and the second term is 11 Find the first term.

A: Here I am providing the handwritten solution

Q: Find the common ratio of the infinite geometric sequence whose sum is -11/13 and the first terms…

A: The detailed solution is given below Thank you

Q: Find the nth term, the fifth term, and the eighth term of the geometric sequence.2, 6, 18, 54,...

A: The geometric sequence is: 2, 6, 18, 54,..... We have to find the fifth, eighth and the nth term of…

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

A:

Q: Find the sixth term of the geometric sequence whose first two terms are 4 and 6.

A: There are many names if the set of numbers follows a specific pattern to write the terms. They are…

Q: Find for the 15th term of an arithmetic sequence 3, 6, 9, 12,

A:

Q: Find the 70 term of the following arithmetic sequence. 5, 13, 21, 29,...

A:

Q: Find the 51st term of the arithmetic sequence –17, –25, –33, ...

A: we know that nth term of arithmetic sequence is given by Tn=a+n-1d where, a is first term and d is…

Q: Find the 5th term of the arithmetic sequence whose 3rd term is 35 and whose 10th term is 77.

A: Let the first term is = a and common difference = d So, n th term of arithmetic sequence is given by…

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: Find the 35-th term in the arithmetic sequence 5, 11, 17,.

A:

Q: Find the 100th term of the arithmetic sequence with first term 7 and eighth term 35

A: tn=a + (n-1)d---- Formula a = first term  d = Common difference tn =nth term

Q: If the third term of an arithmetic sequence is 4 and the seventeenth term is -66​, find eighth the…

A:

Q: Find the 22nd term of the arithmetic sequence whose common difference is d= -5 and whose first term…

A: We have to find 22nd term of the arithmetic sequence whose common difference is d=-5 and first term…

Q: Find the nth term, the fifth term, and the eighth term of the geometric sequence.1, -√3, 3, -3√3,...

A: The given sequence is 1,  -3,  3,   -33,  ⋯⋯. Common ratio is r=-31=-3 and first term is a=1.

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: what is the 1st term of the arithmetic sequence if the 9th term is 84 and the 13th term is 44?

A: We have to find the first term of the arithmetic sequence if the 9th term is 84 and the 13th term is…

Q: Write the first four terms of the sequence whose nth term, or general term, is given: an = 3n + 4

A:

Q: Find the nth term, the fifth term, and the tenth term of the arithmetic sequence.3, 2.7, 2.4,…

A: Given information: The arithmetic sequence is 3, 2.7, 2.4, 2.1,.... Concept used: The nth term of…

Q: Find the eighth term of the geometric sequence whose first term is -4 and whose common ratio is -2.

A: Known fact: The nth term of a geometric sequence is given by an=a·rn-1 where a is first term and r…

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

A:

Q: Find the 37th term of an arithmetic sequence whose second and third terms are −2 and 10.

A:

Q: The 5th term of an arithmetic sequence is 47 and the 17th term is 152. Find the first term and…

A: general term of arithmetic sequence  an=a+(n-1)d .........(1)where a=first term and     d=common…

Q: Find the number of terms of the arithmetic sequence. 11, 14, 17, 20, 23, … , 122

A:

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

A:

Q: Find the nth term of the geometric sequence. -4, 20, -100,... an

A: This is geometric series . Here is given solution with steps.

Q: Find the nth term, the fifth term, and the tenth term of the arithmetic sequence.-6, -4.5, -3, -1.5,…

A: Given: Arithmetic sequence. -6, -4.5, -3, -1.5

Q: Find the general term of an arithmetic sequence where the fourteenth term is 35 and the eighth term…

A: The fourtheenth term is 35The eighth term is 41.To find the general term of an arithmetic sequence.

Q: The fourth term of an arithmetic sequence is 14, and the 20th term is 110. Find the common…

A: As we know that the nth term of the arithmetic sequence is: tn=a+(n-1)d Where 'a' is the first term…

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

A: We have to find the 55th term

Q: Find the nth term, the fifth term, and the tenth term of the arithmetic sequence.2, 6, 10, 14,.....

A: Given: The arithmetic sequence 2, 6, 10, 14, ..., To find: nth, 5th, 10th term of the sequence.…

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

A: