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

A:

Q: Evaluate S10. the sum of the first ten terms of the arithmetic sequence. a, = 3n, a40 = 11a %3D

A: To Evaluate S10 Given:  a1 =3π ,   a10 =11π Let a be first term and d be common difference of…

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

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: Lakeisha wants to put down new tile in her home. The tile costs $3.50/ft2 and labor is $4.00/ft2.…

A: Given,           Lakeisha wants to put down new tile in her home. The tile costs $3.50/ft2 and…

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: 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 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: 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: 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: Find the 10th term of the arithmetic sequence in which a1=12 and d = 9.1.

A: It is given that, a1=12d=9.1   It is known that nth term of arithmetic sequence can be found  by…

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

A:

Q: Use the formula for the general term (the nth term) of an arithmetic sequence to find the 50th term…

A: The arithmetic sequence is a sequence in which the difference between two consecutive terms is a…

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…

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.