08. Which table is a geometric sequence? А. X 1 2 3 4 Y 8 18 32 В. X 4 2 -1 -5 Y 1/2 2/6 4/18 8/54 С. X 1 3 4 Y 2 10 14 D. X 3 4/18 4 8/54 1 Y 1/2 2/6 E. not given

Q: Find the sixth term of a geometric sequence whose second term is 3 and whose fourth term is 1/3.…

A: Now dividing equation (2) by equation (1), we get Therefore sixth term is,

Q: Find the number of terms in each sequence: Formula: a, = a1 (r-1) 2. (11, -22, 44, . , 704} 1. (4,…

A:

Q: 5. Calculate the sum of the first 23 terms of the sequence defined below. tn 10+ 3n, n E N

A: We have to find the sum

Q: Find the first term and the common ratio for the geometric sequence. Round approximations to the…

A:

Q: Find the first three terms of the sequence whose nth term is given. Sn = 3n - 2 A51=1, 52 = 2, 53 =…

A: Given : sn = 3n - 2

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

A:

Q: the first four terms of the sequence given by the followir a, = 7(2)", n=1, 2, 3... %3D ППП

A:

Q: A sequence is said to be an increasing sequence if .. Vnz1 =S .a n+1 Sn2Sn+1.b O 2n.c O n+1 .d O n+1

A: A sequence is said to be an increasing sequence if...∀n≥1 To select the correct option  Sn+1 = Sn…

Q: 13. Solve for x & y if the given sequence is arithmetic 2х + 5y, 2y, 3х + 2, 4x — Зу

A: Given- 2x+5y,2y,3x+2,4x-3y To Find- The value of x and y if the above sequence is arithmetic.

Q: -) Determine the first six terms of the sequence defined by t₁ = -5 and t = 3t-1 + 8. 5, 23, -61,…

A:

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

A:

Q: a1 = -1, and for n = 2, 3, 4, .. What is the common ratio, r, for this sequence? O -- O r--1

A:

Q: Determine the sum of all the 1st 71 terms of sequence 2, 5, 8, 11, 14. a. 7590 b. 7600 c. 7597…

A: Here, a1=2,a2=5d=a2-a1=5-2=3

Q: 3. What is the general term of the sequence: 5, 15, 45, 135, 405, ... a. t₁ = 3(15) b. t₁ = 3(5)n-1…

A:

Q: Find the first five terms for the following arithmetic sequence tn =-3n + 20. %3D A 17, 14, 11, 8, 5…

A: Given, tn = -3n + 20

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: Which of the following represents a geometric sequence with a common ratio r= 5? O2, 10, 15, 75, 375…

A:

Q: B. Find the first three terms of each sequence using the given rule. 1. a = 2 and an= an-1+3, for…

A:

Q: Match each sequence with one of the definitions. Note that only the part of the definition showing…

A: It is required to match the correct option.

Q: Find the 8th term of the following sequence 6, 12, 24, . . . .

A: series = 6,12,24...   we see that the each value in the series is getting multiplied = 2*previous…

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: Find the first four terms of the sequence given by the following. 3 +5 ºn , n = 1, 2, 3, ... 2²…

A:

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: Give the 10th term of the following sequence: 1, 4, 7, 10

A:

Q: B. Give the next three terms for each geometric sequence. 1. 2, 6,. 2. 0.1, 0.3, 0.9,0.27.. 3. 100,…

A:

Q: B f(1) = 4 f(n) = f(n – 1) – 0.25 for n > 2 %3D - - f(n) for fin) 4 3

A:

Q: Find the sum of the first n terms of the geometric sequence with the given values. a, = 320, r= k --…

A: Given: a1=320r=-k2n=10 Also, the sum of  first n terms of the geometric sequence for negative value,…

Q: Find the third, fourth and fifth terms of the sequence defined by  a1=3, a2=5 and an=2an-1-an-2 for…

A:

Q: 13.What is the 3rd term of the sequence defined by an = (-2n)", %3D O A. 216 о в. 276 O C.-216 O D.…

A:

Q: Find the sum of the first 8 terms of the geometric sequence. 139 9 27 27 81 - - - + 2 2 2 O A. 2…

A:

Q: B. Find the next term of the following sequence. 6. 2, 6, 10, 14, ... 7. 1, 3, 5, 7, ... 20, 14, 8,…

A: Given :   2,6,10,14.. 1,3,5,7,.. 20,14,8,2,.. 12,32,52,... 36,1,8,0

Q: Find the first four terms and the seventh ferm (n = 1,2,3, 4 &7) if the general ferm (-1)" of the…

A: Here, the sequence is

Q: List the first four terms of each sequence. An = 2n + 6: 8 10 12 14 ,.... bn = (4)" : 4 16 64 256…

A: We can find first four term of the given sequences . Put n=1,2 ,3 ,4 and find four terms of the…

Q: Find the indicated term of the sequence by finding the explicit formula for the nth term. 9. 100th…

A:

Q: 1 7. /2n 8. n-2" n+3 9. n(n+1)(n+2) 10. V3n-1

A:

Q: Find a1 in a geometric sequence where Sn=3045, r=2/5, and an=120

A: topic- geometric sequence

Q: Write down the first 4 terms of the sequence n=0 first term: 1/7 second term: 1/49 third term: 1/343…

A: Solution: The objective is to find the first four terms of the given sequence

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: Find the first term and the common ratio of the geometric sequence. 27 81 6, 9, 2' 4 3 O A. a, = 2 3…

A:

Q: What are the first five terms of the following sequence? a₁ = 25, an an-1-5 O 5, 10, 15, 20, 25 0…

A:

Q: Write the first four terms of the sequence, where n = 1,2,3, 4, . .. n3 an = 1+n² (A) 글, 음, 음, 몸 (B)…

A: Given  an = n31+n2 We have to find first four terms of the sequence.

Q: Write the terms of the given arithmetic sequence and then graph the sequence. 8. f(n) =7 – 7--n for…

A: Given arithmetic sequence are 8.    f(n)=7-12n   for  n≥0 9.    f(n)=3+2(n-1) for 1≤n≤5

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

A: Topic = Sequence

Q: Consider the sequence defined by s0 = 0, s1 = 1, s2 = 2 and sn = sn−1 − sn−2 + sn−3, for n ≥ 3.…

A: Here, s0=0s1=1s2=2

Q: S20 of the first 20 terms of the arithmetic sequence given by an = 5– 2n.

A: This question can be solve by airthmatic sum formula.

Q: B. Find the next term of the following sequence. 10. 32, 16, 8, 0, ..

A: In given sequence          32 , 16 , 8 , 0 , ...  Here we can see that  1st term  a1 = 32  2nd term…

Q: The limit of the sequence an= (1+)* -- is: 3n (a) – e (b) el7) (c) e-3 (e) None a b C d e

A:

Q: Determine the next four terms in each of the following sequence 1. 4, 8, 12, 16, . 2. 3, 4, 7, 12,…

A:

Q: Find the indicated term of following sequence  1,1,-3,5,-7,9 ,---------a10 1,3,12,60---------a6

A: In this problem, we have to identify the relationship between the successive terms of the series to…

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.