. The function below describes an arithmetic sequence, where A(n) is the nth term and n is the term number. A(n) = 6+3(n- 1) Which table best fits the sequence? 2 3. 4 A(n) 12 15 18 1 1.5 2.5 A(n) 9. 7.5 10.5 3 4 A(n) 12 15 2. 3. 4. .5 A(n) 6. 12 15 18 i5'5 29

Q: Weak induction in steps Let P(n) be the following statement: 1 n i(i+1) n+1 The following…

A: The following two steps are used to prove a statement Pn by  the principle of weak induction. Base…

Q: Use the graph below to determine a, and d for the sequence. {(1, 17), (2, 14), (3, 11), (4, 8),…

A:

Q: Write an equation for the nth term of each arithmetic sequence. 7. -3, -5, -7, -9, . 8. -26, -15,…

A: recognize the sequence and use nth terms formula for the  sequence

Q: One term of an arithmetic sequence is a, = -18. The common difference is d=-6. Write a rule for then…

A: We will use the formula for finding the nth term of an arithmetic progression. First of all we will…

Q: Write the first eight terms of the sequence. 2(an-1 + 2) a1 = 9, a2 45, an %3D %3D %3D an-2

A: Given a1=9, a2=45and…

Q: 27 3. Explain how you would find the general term of the sequence: 4, -6, 9, - ".

A:

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

A:

Q: 2 11 7 17 5 E. The common difference in the arithmetic sequence 3, 12'6' T2'3. IS a. 3 с. 1 4 b. 1 4…

A:

Q: 7.2 Find the next term and the 65th term in the following sequence. Explain. 7.2°(4) 7, 14, 28, 56,…

A: The detailed solution of the problem is given in the next step.

Q: A student studying to be a veterinarian's assistant keeps track of a kitten's weight each week for a…

A: a) The weights are 0.6 , 0.88, 1.16 , 1.44 , 1.72 common difference between them is = 0.88-0.6= 1.16…

Q: Consider the sequence 1, 7, 13, 19, . . . , 6n + 7. (a) How many terms are there in the sequence?…

A: Sequence, 1, 7, 13......upto (6n+7).

Q: Write an explicit formula for the sequence using the first five points shown on the graph. an an 12…

A:

Q: What is the seventh term of the arithmetic sequence? tn Oa7 = 29 O ar = Oa7 = 36 = 41 Oa7 = 26 8 7 6…

A: To find the seventh term of airthmetic sequence

Q: Which sequence is modeled by the graph below? 10 • (4, 9) • (3, 3) 3 (2. 1) 2 3 4 5 67 8 9 1D O a. =…

A: Formula of n-th term of geometric sequence is : an = a1( r )n -1 Here , r = common ratio a1 is the…

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.