4. What are the first five terms of the sequence for a1=-2 and an=2an-1+5?

Q: How many terms of the geometric sequence 1÷27 ; 1÷9 ; 1÷3 ;....yield a sum of 364÷27?

A: The solution for the above question is as shown below.

Q: The first five terms of the sequence  are: 5,

A:

Q: n+1 Зп + (-2)" n=0

A:

Q: Find the n" term a, of a sequence whose first four terms are given. 9 10 11 -- -- 4' 8' 12' 16

A: Given:-84,-98,-1012,-1116,....

Q: (4) Find the sum of the sequence in (2) to an infinite number of terms.

A: identify the series

Q: What is the explicit equation for the nth term of the arithmetic sequence 6, 3.5, 1,-1.5, 4,...?…

A: We have: a1=6 -- the first term   Next, we calculate the common difference d=a2-a1 So, we have:…

Q: 1. Find the first four terms of the sequence whose nth term is an = 2 + 3n. * 5, 7, 9, 11 O -1, -4,…

A:

Q: 14. The sum of the first 50 terms of the sequence 2, 8, 14, 20, 26, ...

A:

Q: た 2 白 Find the sum of the indicated number of terms of the geometric sequence. -4, 12, -36, ...; n =…

A: Consider the given series.

Q: What is the formula for the arithmetic sequence if the sum of the same sequence is given by sn = 2n…

A:

Q: 2) Find the sum of the first 100 terms of the arithmetic sequence: 2, 4, 6, 8, 10, 12, ...

A: The arithmetic sequence: 2,4,6,8,10,12,.......

Q: The sum of the first 20 terms of the sequence O.7,0.77, 0.777,.. is

A: We have to find the sum of first 20 terms of the sequence: 0.7, 0.77, 0.777, ..... Assuming the…

Q: 2. What is the term ag of the sequence {an} if an equals a) 2-1? b) 7? c) 1+(-1)"? d) -(-2)"?

A: A sequence is a set of numbers that has a particular order or obeys a general form. In this problem,…

Q: 2 = (- 1)"(3**) 8.

A: First three terms are  -9, 27 , 81

Q: 4. What is the fourth term in the sequence defined as: a1 126 and an 3(an-1) - 5 %3D %3D

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

Q: What are the first 5 terms of the sequence a₁ = 5₂ a = 2n-a n-1, where

A: We have to apply simple mathematics logic to solve the problem

Q: What are the first 5 terms of the sequence a_ =2n – a 'n - 1, where “, =5,

A:

Q: What is the 7th term of the geometric sequence defined by the rulean = -3(2)^n-1 ?

A: What is the 7th term of the geometric sequence

Q: 7. What is the 10th term of the sequence defined by a, = 5p³q² and an = O an-1?

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: 2. The first three terms of either an arithmetic or geometric sequence are given by 6, a, 24. Which…

A: Given,         The first three terms of either an arithmetic or geometric sequence are…

Q: Here are the first two terms of a geometric sequence: 2, 4. What are the next three terms?

A: First-term, a=2 Common ratio, r = 4/2 = 2

Q: Find the first 4 terms of the sequence defined byf (n) = 1/2n+ n.

A: Consider a sequence an. The first n terms of the sequence are given by: a1, a2, a3,...an

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 nth term of a sequence whose first several terms are given. 11 17 23 29 4 9 16' 25' an = II…

A:

Q: 4 Find the sum of the first 5 terms of a geometric sequence with a = 162 and r = 31 The sum is

A:

Q: What are the first 5 terms of the sequence represented by а %3D 2n - За 'n – 1, where ", =4,

A:

Q: Write down the first five terms of the sequence (n + 3)! An 4n2 + n + 4

A: an=(n+3)!4n2+n+4

Q: Find the first four terms of the sequence given by the following. an= (-1)^n-1 x3n^2 n = 1,2,3

A: Given that: an=(-1)n-1x3n2  , n=1, 2, 3,

Q: What will be the sum of first 6 terms of he geometric sequence with the first term a1=2 and a2=24

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: Find the sum of the first five terms of the sequence with the given general term. an = (−1)n

A: Given sequence, an=(-1)n Put n=1 to 5 to get first five terms of sequence then add them.

Q: Suppose you have the sequence 4, 1, -2, -5,.. . Find the sum of the first 20 even terms.

A:

Q: Write the first six terms of the sequence defined by a1 = −2, a2 = 3, an= −2 + an−1for n ≥ 3.

A: It is given that, first term of the sequence is (a1) = -2, second term (a2) = 3 and the sequence is

Q: What are the first 5 terms of the sequence represented by a=2n-3a n "n-1, where a₁ = 4₂

A:

Q: Find the first 4 terms of the sequence with first term2 and nth term an = 2an-1 + 3.

A: Our Aim is to find the first 4 terms of the sequence with first term and nth term an=2an-1+3

Q: 9. Find the partial sum of arithmetic sequence of 25 terms starting with 5, 10, 15, 20,........ 10.…

A: The nth term in an arithmetic sequence is an=a+(n-1)d Sum of n-terms in an arithmetic sequence is…

Q: The arithmetic sequence with a1=5 and d=4 _____,_____,_____,_____

A: Given: a=5,d=4

Q: the

A:

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

A:

Q: The sum of the first eight terms of an arithmetic sequence {an} is 24; thesixth term is 0. Find a…

A:

Q: Find the sum of the indicated number of terms of the geometric sequence. 5, 10, 20, ...; n = 8

A:

Q: 1. Find the value of the 11th term in the sequence 2, 6, 18, 54, ...

A: Topic = Sequence

Q: 4. What are the first five terms of the sequence for a1--2 and an-2an-1+5?

A:

Q: What are the first three terms of the sequence given that the nth-term formula is an=n/(n+1).

A: Given, nth-term of sequence is an=nn+1  find first three terms of the sequence-

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

A: The formula to evaluate the sum of n terms of a geometric sequence is Sn=arn-1r-1, if r≠1, where a…

Q: 3. -5, 15, -45,... n = 7

A:

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.