Explain how to find the general term of an arithmetic sequence.

Q: Find the common difference of the arithmetic sequence –6, –13, –20, ...

A: Question is solvled.

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 general form of the sequence (10,50, 250, 1250, ...).

A: Explained below

Q: Determine whether the sequence is arithmetic or geometric. 88, -44, 22, –11, ...

A: 88,-44, 22,-11 We know that the given sequence is Geometric The formula to find nth term is Where…

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 sum of the first 50 terms of the arithmetic sequence below. - 19, - 11, - 3, 5, ... The sum…

A:

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: what is an arithmetic sequence, the history , definition and uses?

A: We are asked to write about an arithmetic sequence

Q: Explain how to find the general term of a geometric sequence.

A: Consider a geometric sequence: S= a, ar, ar2, ar3..................... where a = first term…

Q: Decide whether the sequence is arithmetic. Explain?

A: Given sequence,                 3 ,6 ,12 ,24 ,48 ,....

Q: Find the 97th term of the arithmetic sequence 17, 26, 35, ...17,26,35,...

A: The given arithmetic sequence is  17,  26,  35............. The first term a = 17 Difference d =…

Q: 12. Describe what is the difference between an Arithmetic sequence and a Geometric sequence.

A: we have to find difference

Q: Find the common difference of the arithmetic sequence –5, –14, –23, ..

A:

Q: Write the rule of the geometric sequence. 3, 6, 12, 24,..

A: Given geometric sequence is, 3,6,12,24,.... Here a=3 Now to find r consider, r=6/3=2 Then a=3 and…

Q: Find the explicit formula for the Arithmetic sequence. -5, 2,9, 16, ...

A:

Q: Find the 93rd term of the arithmetic sequence -6, 13, 32, ...−6,13,32,...

A:

Q: Find the sum of the first 50 terms of the arithmetic sequence below. - 19, - 11, - 3, 5, . The sum…

A: Here we have arithmetic sequence, -19,-11,-3,5,....... Sum of the n terms arithmetic sequence Sn=n/2…

Q: What is the sum of an arithmetic sequence whose last term is 59 and the common difference is 8?

A: Topic - arithmetic Sequence

Q: Find the 74th term of the arithmetic sequence –8, 0, 8, ...

A:

Q: Find the 86th term of the arithmetic sequence 16, 18, 20, ...

A:

Q: What is the common difference in this arithmetic sequence?

A:

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

A: We know that the nth term can be found as an=a+(n−1)d where a is the initial term and d is the…

Q: Find the common difference of the arithmetic sequence with a 4 = 10 and a 7 = 19.

A: Given that

Q: Write the arithmetic sequence -4, – 11, – 18, 25, in the standard form: an

A: Given that

Q: Write a formula for the general term (the nth term) of the arithmetic sequence : -2, 8, 18, 28,…

A: The given sequence is -2, 8, 18, 28,...   formula used: an=a1+n-1d an=nth terma1=1st termd=common…

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

A:

Q: what is the 10th term in an arithmetic sequence whose 3rd term is 17 and whose common difference is…

A:

Q: If the 6th term of an arithmetic sequence is 63 and the 14th term is 135, write the formula for the…

A:

Q: Determine whether the sequence is arithmetic or geometric.-1, 1, 3, 5, 7, . . ._______________

A: The given sequence is,  -1, 1, 3, 5, 7,…… A sequence will be said to be in arithmetic progression if…

Q: Identify if the sequence of arithmetic and geometric sequence?

A:

Q: Find the missing terms of the arithmetic sequence: -8, ,20

A: Topic - arithmetic Sequence an =a+(n-1)d

Q: Briefly describe the difference between a sequence and a series.

A: Let us find out how a sequence can be differentiated from series.

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

A: We have to find the 55th term

Q: 2. ,a = 12 %3D

A:

Q: Write two different formulas for the sum of the first n terms of an arithmetic sequence.

A:

Q: can a sequence be geometric and arithmetic?

A: Answer

Q: Calculate the 35th term for this arithmetic sequence: 5, 9, 13, 17,..

A: Given, the arithmetic sequence is              5, 9, 13, 17, . . .

Q: Find the sum of the first 50 terms of the arithmetic sequence below. - 13, - 7, - 1, 5, . The sum is

A: to find:- sum of the first 50 terms.

Q: what are many ways where you can find the domain and range of a sequence?

A: Domain of a Sequence:Sn : ℕ → ℝ by  Sn={a1, a2, a3, ... , an,   .... ,…

Q: Find the common difference of the arithmetic sequence:

A: If the arithmetic sequence is given as - a, b, c, d, e, f, g, h..........Then the common difference…

Q: Explain how to find the sum of the first n terms of an arithmetic sequence without having to add up…

A: To Determine:  Explain how to find the sum of the first n terms of an arithmetic sequence without…

Q: Write the arithmetic sequence – 5, 2, 9, 16, ... in the standard form: an

A:

Q: Write the first four terms of the sequence whose general term is given below. an = (- 1)*'(n + 2)

A:

Q: The first term of an arithmetic sequence is 2 while the 18th term is 87. What is the common…

A:

Q: What is meant by common difference of the sequence?

A: Common difference of the sequence:

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.