Write the first five terms of the sequence whose nth term is an = (−1)n/(n4). a1 = a2 = a3 = a4 = a5 =

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

A:

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 8th term of the arithmetic sequence -5x + 8,-x+3, 3x - 2,..

A:

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 130 terms of the arithmetic sequence 8, , 7, ....

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 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: Find the sum of the first 8 terms of the geometric sequence 3,6,12,…

A: First term= a= 3 Common ratio= r= 6/3= 2

Q: Determine the sum of the first four terms of the geometric sequence where a = 3 and r = 2.

A:

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 sum of the first 50 terms of the arithmetic sequence: -15, -9, -3, 3, .....

A: Given: The Arithmetic sequence −15,−9,−3,3,... To find: The sum of the first 50 terms of given…

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: Find the 8th term of the geometric sequence 7, -21, 63, …

A:

Q: What is the sum of the first 50 terms of the arithmetic sequence whose first term is a1=8, with…

A: We will find out the required value.

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

A:

Q: Find the sum of the first five terms of geometric sequence. a1 = -5, r = 4

A: We know that, sum of n terms of an geometric series with first term a and common ration r is given…

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

A:

Q: Find the sum of the first five terms of geometric sequence. a1 = 6.324, r = 2.598

A: Given, geometric sequence with a1 = 6.324, r = 2.598

Q: Use the formula for the sum of the first n terms of a geometric sequence to:

A: The given geometric series is: -32, 3, -6, 12,....  The first term of this series is a=-32 and the…

Q: Find the sum of the first 11 terms of the geometric sequence: 4, -12, 36, -108, . . . .

A: Sum of first n terms of a geometric sequence a, ar, ar2,... is Sn=a1(1-rn)1-r Where a1 is first term…

Q: Find the sum of the first four terms of the sequence. -36, 9, -9/4, ...  S4 =

A: we use the formula Sn=a(1-rn)/(1-r). see 2nd step.

Q: Find the sum of the first 15 terms of the arithmetic sequence: -6, -3, 0, 3, . . . .

A: We have to find the sum of first 15 terms of the sequence: -6, -3, 0, 3, .... We know the sum of n…

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 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 sum of the first 18 terms of the geometric sequence: 2, -8, 32, -128, . . . .

A: The given geometric sequence: 2, -8, 32, -128 first term (a) = 2 common ratio r=ara=-82=-4 number of…

Q: Find the sum of the first 19 terms of the sequence {-11, -8, -5, -2, 1, …}.

A:

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: Write a rule for the n th term of the sequence for which a, ==500 and r = 5 . Identify the first six…

A: The nth term of the sequence is given by the formula, an=a1rn-1 substitute the value n=4,…

Q: Find the 7th term of the geometric sequence 2, -6, 18, ...

A:

Q: What is the sum of the first 11 terms of the sequence for which a3 = 13 and a11 = 25?

A: What is the sum of the first 11 terms of the sequence for which a3 = 13 and a11 = 25?

Q: State the first five terms of the arithmetic sequence tn=5(n)

A: The given nth term of the arithmetic sequence is tn=5(n)

Q: Determine the sum of the first 7 terms of the arithmetic sequence with general formula: t₁ = -3n+7

A: given arithmetic sequence tn=-3n+7 we have to find  ∑n=17tn

Q: Find the 11th term of the sequence 3, -6, 12, -24,. ...

A:

Q: Find the sum of the first ten terms of the arithmetic sequence in which the first 3 and the…

A:

Q: Find the sum of the first 50 terms of the sequence: -2, 0, 2, 4, . . . .

A: -2, 0, 2, 4, ...... It is an arithmetic sequence with, First term=a=-2Common difference=d=2

Q: Write the first four terms of sequence whose general term is given an = 3n + 2.

A: Given: an=3n+2 To Find: First four term of the sequence whose general term is given.

Q: Find the sum of the first 11 terms of the geometric sequence: 7, -21, 63, -189, 567, . . . .

A:

Q: (2п)! An

A:

Q: List the first 5 terms the sequence whose nth term is 3n - 2n

A: Given: 3n-2n

Q: List the first four terms and the tenth term of sequence:

A: Given, nn+1

Q: Find the sum of the first 8 terms of the sequence −1, −7, −49, −343, . . . (geometric)

A:

Q: Find the 10" term of the arithmetic sequence 1, 2-, 3- ...

A:

Q: List the first four terms and the tenth term of sequence:

A: 2+0.1n Put n=1, we get 2+0.11=2+0.1=2.1 Put n=2, we get 2+0.12=2+0.01=2.01 Put n=3, we get…

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.