Find the 37th term of an arithmetic sequence whose second and third terms are −4 and 12.

Q: Write the first five terms of the sequence whose general term is an = (-1)n+1/n2 .

A: we have to write the first five terms of the sequence whose general term is given as an=(-1)n+1n2

Q: Find the nth term of a sequence whose first several terms are given. 4, -16, 64, –256, . . an

A: Given that: Sequence: 4, -16, 64, -256, ...

Q: Write the first four terms of the sequence whose general term is given an = (-1)n+1(n + 4)

A:

Q: Write the first four terms of the sequence whose general term is given an = 2n/(n + 4).

A: The given sequence is an=2nn+4. Compute the first four terms as follows.

Q: Write the first four terms of the sequence whose general term is given, an =1/(n - 1)!

A: Given general term of an sequence is an=1(n-1)!

Q: Find the nth term of a sequence whose first several terms are given. 6, 12, 18, 24, . .

A: Given Seies, 6,12,18,24.........

Q: Write the first five terms of the sequence whose general term is an=2/n factorial

A: From provided information, term is given as:

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: Find the next term of the sequence: 2, 10, 50, 250, 1250,

A: the given sequence is GP because its common ratio is the same.

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 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: Write the first four terms of the sequence whose nth term is:

A: We need to calculate the first four terms of the sequence

Q: Find the 28th term of an arithmetic sequence where the fourth term is 33 and the tenth term is 15.…

A: Find the common difference, d:

Q: Write the first four terms of the sequence whose general term is given an = 4n - 1

A:

Q: write the first five terms of the sequence whose general term is  an=3(n!)

A:

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

A:

Q: Calculate the next term in the arithmetic sequence that increases by 65, if the current term is 41.

A: Given, the arithmetic sequence that increases by  65, if the current term is 41.

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

A:

Q: Find the 13th term of the geometric sequence whose 1st term is 100, with common ratio of 10

A: Given : 1st term is 100. Common ratio is 10

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 the next term of the sequence. 1, 16, 81, 256, . .

A: The given series is of the form,  (n+1)4 Given, 1,16,81,256,...

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

A:

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

A:

Q: find the nth term of a sequence whose first terms are given. −3, 5, 13, 21,...

A: One have to check the difference 5--3=813-5=821-13=8 So the common difference is 8 and the first…

Q: Find the eighth term of the geometric sequence whose second and fourth terms are 0.2 and 5.

A:

Q: Write the first four terms of the sequence whose nth term, or general term, is given: an = (-1)n/3n…

A: The general term given is an=-1n3n-1.

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

A:

Q: Write the first four terms of the sequence whose general term is given. an = 4n + 4

A: Here, for given sequence we have to find first four terms.

Q: Write the first five terms of a sequence in which the first term is 2 and each term is 6 more than…

A: We have to find first five terms of the sequence where first term is 2 and each term is 6 more than…

Q: Write the first four terms of sequence whose general term is given an = (-3)n.

A: an=(-3)n

Q: Find the twentieth term for the sequence defined by: an = 8 (1.1)"

A: The given sequence is an=8(1.1)n-1 we have to find 20th term of the sequence.

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: Find the 8th term of the geometric sequence whose common ratio is 1/3 and whose first term is 4.

A:

Q: Find the infinite sum of the geometric sequence with a =2 r=2/6 if it exist

A: The geometric sequence with a =2, common ratio r=2/6

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

A:

Q: Find the ninth term of the arithmetic sequence whose first term is 6 and whose common difference is…

A: Given:First term a1=6Common difference d=-5Formula:an=a1+n-1 d

Q: Find the 10th term of the geometric sequence. If your answer is a fraction, enter it like: 1/2, etc.…

A: I have given an answer in step 2.

Q: Write the first four terms of the sequence whose general term is given, an = 7n - 4.

A: Given:an=7n-4

Q: Find the first four terms and the eighth term of the sequence.

A: The given sequence is 2+-0.1n.

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

A:

Q: Find the 35th term of an arithmetic sequence with a1= 50 and a22 = −265.

A: Given,

Q: Determine the first five terms of the sequence whose general term is given. {an} = {(- 1)n * 1,²}

A:

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

A:

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

A: A sequence (an) is said to be arithmetic is a2-a1=a3-a2=a4-a3=...=d(say)That is, d=an-an-1 for…

Q: Find the first four terms of a sequence whose nth term is given by n^2 - 1.

A: Topic :- Sequence

Q: Find the 19" term of the arithmetic sequence whose common difference is d=3 and whose first term is…

A: the nth term of the arithmetic sequence is given by an=a1+n-1d here we have a1=4,   d=3 an=4+n-13…

Q: Write the first four terms of the sequence whose general term is given an = 3n/(n + 5).

A: The given general term of the sequence is, an=3nn+5 The objective is to find the first four terms of…

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.