Determine the first 3 terms of the given sequence. = An-1 · 3; Ao = 4 An %3D

Q: Write the first five terms of the sequence with the given nth term.  an = 3n

A: Here the n th  term of a sequence is an=3n Therefore we have to substitute the values of n to get…

Q: determine whether the sequence is geometric. If so, find the value of r 3, 9, 36, 180, …

A:

Q: Write the first four terms of the sequence whose general term is given. 2n an n+1

A: Given: an = 2nn+1 To find the a1, a2, a3, a4 substitute 1, 2, 3, 4 respectively in place of n

Q: O Write the first five terms of each sequence. a) a, 2"-1,n21, b) b, = b +b 2,b, =1,b, 2, n23.

A:

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

A: First three terms are  -9, 27 , 81

Q: Write the first five terms of the sequence with the given nth term. 4 a, = 5 + n2 a2 = a3 %3D a5

A: Here we have to find the first five terms of sequence.

Q: I. Write the first five terms of each sequence. 1. an = 12 – 3n

A:

Q: 2'4

A: Given geometric sequence is : 1, 12, 14, ....

Q: Solve for x & y if the given sequence is arithmetic Зх + 6у, 4у, 7х + 2, 2х — 3у

A: Explanation of the answer is as follows

Q: Write the first six terms of the sequence: an = 6n

A:

Q: Write the first five terms of the sequence with the given nth term.                        an =…

A: Given nth term is an=2nn+5 To find the first five terms of the sequence with the given nth term.…

Q: Write the first six terms of the sequence. 1, an = an 1 +3

A: Consider the recursive rule for the sequence. Put n = 2 in the recursive rule and simplify to find…

Q: Write the first six terms of the arithmetic sequence: an = an-1 -0.3, a1 =-1.7

A: To write the first six terms of the arithmetic sequence an=an-1-0.3,a1=-1.7

Q: Find the first four terms of the sequence given by the following. an=2(5)", n= 1, 2, 3...

A: SOLUTION-

Q: Write out the first four terms of the sequence and determine whether the sequence is converging. 1…

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Q: Write the first five terms of the geometric sequence. a 1 = 3; r = 1/4

A:

Q: 3(-1)" 3. а, n!

A:

Q: An = 1 + n – n²

A: Since nth term is given so simply substitute the value of n one by one and simplify.

Q: Find the value of the first four terms of the sequence: an 1 and a = 1. 1+an-1

A: We plug n=2 to find the second term

Q: Write the first five terms of the sequence given by an = 3^n +1 /n! ,Begin with n=0

A: Given sequence is an=3n+1n! and begin with n=0 Substitute n=0 a0=30+10!=1+11Since, 0!=1=2 Hence,…

Q: Write the first five terms of the sequence with the given nth term.                          an =…

A: an=(-14)n The first five terms are from n=1,2,3,4,5Now we put the value of n=1,2,3,4,5

Q: Write the first six terms of the arithmetic sequence an = an-1 - 0.3, a1 = -1.7.

A: Substitute –1.7 for a1 and 2 for n in the given recursion formula and Obtain the second term of the…

Q: write the first five terms of the geometric sequence a, =1, r=Ź %3D

A:

Q: Write the first five terms of the geometric sequence. a, = 9an - 1, a1 = 1 a1

A: Given an=-9an-1,a1=1Put n=2a2=-9a2-1a2=-9a1a2=-9*1a2=-9.Put n=2a3=-9a3-1a3=-9a2a3=-9*(-9)a3=81.Put…

Q: Find the first four terms of the sequence given by the following. 2" ,n= 1, 2, 3, ... 5n- a 2 1 믐 |…

A:

Q: Determine whether the sequence is geometric. If so, find the common ratio. -1, -3, -5, -7,...

A: A geometric sequence is the one in which ratio of two consecutive terms is same and that ratio is…

Q: find a formula for the nth term of the sequence. 1, -4, 9, -16, 25,c

A: It can be written as,

Q: Write the first five terms of the geometric sequence with the given first term, a,, and common…

A: Solution :-

Q: Find the indicated term for the geometric sequence with first term, a,, and common ratio, r. Find…

A: The first term and the common ratio of the geometric sequence are a1 = 3 and r = 6 To evaluate: The…

Q: Find the nth partial sum of the arithmetic sequence for the given value of n. 0,-9, -18, -27, ... n…

A: As we know that; The formula for the nth partial sum of arithmetic sequence is: Sn=na1+an2 Where; a1…

Q: Write the first five terms of the sequence with the given nth term

A: Write the first five terms of the sequence with the given nth term

Q: Find the 9th, 24th, and nth terms of the arithmetic sequence. a, a + 5, a + 10, ... ag = a24 = an =

A: Given arithmetic sequence is  a, a+5, a+10, ..... where  first term = acommon difference d =…

Q: Write the first six terms of the arithmetic sequence: an = an-1 -0.4, a1 =1.6

A: We have to write first six terms of the arithmetic sequence where an=an-1-0.4 and first term a1=1.6.…

Q: Write the first five terms of the geometric sequence.

A: Given,

Q: Find the four terms of the sequence given by the following. an = 66 + (n-1)•5 , n = 1, 2, 3

A: We have to find term

Q: Find the 21th term of the given sequence 2, 1, 1/2, 1/4, 1/8…

A:

Q: Find a, and r for a geometric sequence with the values given below. a, = 135, n= 4, S, = 200 %3D

A:

Q: Write the first five terms of the sequence given by an = 2 ^n/(n + 1), Begin with n=0

A: First five terms of sequence

Q: Find the first four terms of the sequence given by the following. 3" n = 1, 2, 3, ... 5n 0000

A:

Q: Find the next three terms of the geometric sequence. 6,18,54

A: Solution of this question is

Q: Write the first six terms of the arithmetic sequence an = an-1 - 0.4, a1 = 1.6.

A: We have given recurrence relation between terms of arithmetic sequence an=an-1-0.4 and a1=1.6 We…

Q: Write the first 4 terms of the sequence. a, = 7, a, = 8• an-1+1, for n> 1

A: The sequence is given as,         an=8an-1+1 ,     n>1 The first term is given as a1=7 We need to…

Q: Find the first 3 terms of the geometric sequence with a, = -160 and a, = 1,280. а. 5,-10, 20 с. 5,…

A: Given data: a6=-160 a9=1280 Solution: The above terms given in the geometric sequence. We know the…

Q: Write the first five terms of the sequence with the given nth term. an = 6n − 2

A: Given: an=6n-2

Q: Write the first five terms of the geometric sequence. a1 = 25, r= -

A:

Q: Write the first five terms of the sequence with the given nth term                         an =…

A:

Q: Write the first five terms of the sequence with the given nth term.                        an =…

A: The given expression is an=5n-1n!

Q: Find the 40th term of the arithmetic sequence with a, = 150 and a common difference of d= -4. 1. -6…

A:

Q: Find the first five terms of the sequence, given the nth term. An = 3(4")

A: given

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.