Geometric sequence

This is a full guide to finding the general term of sequences. There are examples provided to show you the step-by-step procedure for finding the general term of a sequence.

Ahhhhh! It's that time of year when you hear RUMORS of students actually being enrolled in your classes, but you have scattered evidence. If it's not sickness, it's field trips or EOC exams or fill-in-the-blank reasons. Or if they ARE in class, some of them are NOT in class. If you know what I mean. Welcome to my Precalculus preAP experience. Because of this, I was trying to give this recently-absent child a run down of all things Sequences and Series. I sketched the following roughly on…

color(indigo)(S_(20) = (a (r^n-1)) / (r - 1) = 2097150 "Sum of n terms of a G S = S_n = (a (r)^n-1 ))/ (r-1) where a is the first term, n the no. of terms and r the common ratio a = 2, n = 20, r = a_2 / a = a_3 / a_2 = 4/2 = 8/4 = 2 S_(20) = (2 * (2^(20) - 1)) / (2 -1) S_(20) = 2 * (2^(20) - 1) = 2097150

One of my last Algebra 2 units before state testing was arithmetic and geometric sequences and series. Our students are given the formulas for the nth term and the sum of the first n terms, but they are given no explanation for what each variable represents. So, I like to spend an entire class period discussing what each variable represents. Then, we look at word problems and label all of the information with the correct variable. The kids hate it, but it really helps them in the long run…

20-21. Four terms in a geometric sequence are . Find . a = 3, b = 2 b. a = 3, b = 2/3 c. a = 3, b = 3/2 d. a = 2, b = 3/2 22-23. The arithmetic mean between two numbers is 10 and their geometric mean is 8. Find the two numbers. a. 4 and 16 b. 12 and 8 c. 5 and 15 d. 10 and 10 24. The. Auto-graded practice and assessment of "Diagnostic Test1" for in-class and distance learning.

Expand your knowledge of geometric sequences with this comprehensive worksheet. Engage your students as they identify, complete, and even create their own geometric sequences. Encourage critical thinking by challenging them to calculate the common ratio of each sequence. This resource is a must-have for math teachers looking to enhance their curriculum and foster mathematical proficiency in their students. Ideal for middle school or high school classrooms, this worksheet will make learning…

Sequences don’t always have to be numbers – they can also be geometric shapes! Learn more about triangle, square and other figurate numbers at mathigon.org/course/sequences/figurate

Algebra online worksheet for Grade 10. You can do the exercises online or download the worksheet as pdf.