Mimi is building a decorative fence around her garden. The first fence board will be 2 feet tall, and each successive fence board will be 25% taller than the previous fence board. If Mimi plans to have 10 fence boards, is the sequence that represents the height, in feet, of the decorative fence boards finite or infinite? Is the sequence arithmetic or geometric? Explain.

Q: John owed his parents $44. They agreed to allow him to pay them back and to act as his “bank” if he…

A: Given, -44, -32, -20, -8, 4, 16, 28, 40.

Q: Ten-foot lengths of 2 x 2 lumber are to be cut into five pieces to form children’s building blocks;…

A: The given length of the log is 10 ft. We have to cut the log into 5 blocks, such that the lengths of…

Q: 9. We defined an n x n matrix to be invertible if there is a matrix B such that BA = In. In this…

A: This question is related to matrices.

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: Write a recursive formula for the sequence: {- 3, 1, 5, 9, 13, ...} o , an 17 aj = -3

A:

Q: Ryan is building a triangle sequence so that one triangle is added to the right each time, as shown…

A: The objective is to find the number of matchsticks will be in the nth and (n-1)th figures.

Q: 4. Determine the number of terms in the sequence: -45, -32, -19, -6, 410 ***

A: There are 36 terms  in the sequence.

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.