- 2, 1, 6, 13, 22, .

Q: -1.8,2.4,6.6,... a=3-5n q =.25(4)*1 %3D a = 4.2n-6 a =-2(.75)*-

A: We have to find general rule of the sequence  -1.8, 2.4, 6.6

Q: Define sequence and give an example.

A: The phrase "Sequence" approach similar to its method in regular English. The series usually means…

Q: In Exercises 13–16, match the sequence with the given nth term with its graph. [The graphs are…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: The first 2 terms of the Fb sequence are: 1, and 1. Find the 14th and 16th terms of the Fb sequence.

A: The first 2 terms of the Fb sequence are: 1, and 1. So we can write the rule: The Rule is xn = xn−1…

Q: 6. dk = 2dk−1 +3, for each integer k ≥ 2 d₁ = 2

A:

Q: Use the difference an+1 an to show that the sequence | {n – 7"} is strictly increasing or strictly…

A:

Q: 3, 9, 27, 81. Which exponential function describes the given sequence? A) B) y= C) y = (-3)* D) y=…

A: Consider equation y= 3^x when x =1 y= 3^1 = 3 y= 3^2 = 9 y= 3^3 = 27 y= 3^4 = 81

Q: Which of the following is the value of x to make x + 1, 4x – 7, 2x + 5,… an arithmetic sequence.

A: We will find the value of x for which the given sequence will be  an arithmetic sequence as…

Q: Find the 73rd term of the arithmetic sequence –28, -41, – 54, ...

A:

Q: 1,0,

A: Given: The sequence is 0 , 1-e11+ e2 , 1- e21+ e3 , 1- e31+ e4  , 1- e41+ e5 , .  . .

Q: The first two numbers in a sequence H are H(1)=2 and H(2)=6. If H is an arithmetic sequence, write…

A: Given : H1 = 2H2 = 6 H is an arithmetic sequence.

Q: Example 1: Find the first five terms of the sequence where an = n2 – 3 %3D

A: Given :            To find the first five term of the sequence,  an = n2 - 3 The first five terms…

Q: Example 9, x, and 16 are in geometric sequence. Determine x.

A: 9,x, and 16 are in geometric sequence.determine x.

Q: Create your own sequence explicit formula.

A: Let, a sequence be: 2,4,8,16,32,64,... This sequence can be derived as  21=222=423=824=1625=32 and…

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: Write the first five terms of the sequence defined by the explicit formu 2(n-1)! n(n + 5) an

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.