8. Look at the following table. The .th term Formula 1 (2k + 25) 2 (-k + 9) 3 (3k + 7) The table above contains the first three terms of arithmetic sequence. According to the table, prove that: a. the value of k is-2 b. the sum of the first twenty terms of the series is -1.480

Q: What is a for the sequence a₁ = n² - n? A. a₁ = 8 B. a = 12 C. a = 4 D. a₁ = 16 OA OB OC OD

A: Here is the solution:

Q: s the 134th term 9 1

A: Checking difference between term 5-3=2 7-5=2 9-7=2 So on  That means difference is constant that…

Q: Find n for a, = 101 in the following arithmetic sequence. %3D 20, 29, 38, .. The term 101 is the 34…

A:

Q: Find the 21st term in the arithmetic sequence -1, 3, 7, 11, 15,... а. 79 b. 59 с. 80 d. 83

A: Solve by arthmetic sequence

Q: Write the first five terms of each of the following Geometric Sequence. 1. an = 2(3)n 2. an 6(-2)" =…

A:

Q: What is the difference between a sequence and a series?

A: write the difference between sequence and series

Q: Find the indicated term of the sequence. The twelfth term of the arithmetic sequence -14√√3.-11√3,…

A:

Q: Find the sum of the first eight terms of the sequence shown. 1/2, -1/4, 1/8 . . . a. 1/256 b. -1/256…

A:

Q: In an arithmetic sequence with a, = - 16 and d 2, which term is -6? %3D The term -6 is the th term…

A: Arithmetic progression : It is the sequence of number with same difference between two consecutive…

Q: Directions; Find the sum of the infinite geometric sequence 1. 4.64, 16, 4, 1 2. 120, 12, 6/5,. 3.…

A: Note: The option 1 is considered as 64, 16, 4, 1,… .   A geometric sequence is represented as a, ar,…

Q: Find the formula for the sequence below: -5,15,-45,180,...   a an=-3(-5)n-1 b an=5(3)n-1 c…

A: We have to find the formula

Q: Find the first term, the common difference, and give a recursive formula for the arithmetic…

A: nth term of the arithmetic sequence , an =a+(n-1)d ; where , 'a' is the first term and 'd' is the…

Q: An arithmetic sequence has a first term of 64 and a common difference of 2. The sum of the first 10…

A:

Q: For the geometric sequence {3,6, 12, 24, · . .. . .}, the term a15 3- 214 2. 24 214 2· 22 3. 216

A:

Q: Find a formula for the nth term in the sequence: 4 10 16 22 28 2 6 12' 20' 30 >... nth term is

A: The given sequence is  4/2, 10/6, 16/12, 22/20, 28/30,................. To find nth term

Q: The number of terms n of the arithmetic sequence : {2, 9, 16, 23, . . , 65} are O 11 O 9 O 8 O 10

A: The given sequence is:  2, 9, 16, 23, ..... , 65

Q: What is the sixteenth term of the arithmetic sequence 3, -1, -5, -9, .....? A. -55 B. -57 C. -59…

A: Formula for nth term in arithmetic sequence is given by- an=a+n-1d Where an is the nth term a is the…

Q: Q4. What is a15 for the arithmetic sequence with a₁ = 10 and d = 7?

A:

Q: 17. Determine the next 3 terms in the sequence: 22, 31, 40, 49, 58, ... O 67, 76,85 O64, 70, 76 60,…

A: given sequence is :22,31,40,49,58,... their same distance in all number  d=31-22=40-31=9 d=9

Q: Find the sum of the infinite geometric series. If an answer is undefined, write UNDEFINED. - 216/49…

A: To find the sum of the geometric series.

Q: Find the arithmetic series of the arithmetic sequence: (5, 7, 9, ., 301}. a 765 b 22,496 22,797 d…

A:

Q: Q6. What is a11 for the geometric sequence with a₁ = 4 and r = 4?

A: Given,  First term a1=4 and r=4  nth term in geometric sequence an=arn-1 , where a is the first term…

Q: 3. What is the 10th term of the following sequence? 16, -8, 4, -2, ... Student's Work Student's…

A: Given a sequence- 16,-8,4,-2, ....... We have to determine the 10th term of the following sequence .…

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:

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.