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.

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

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…

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…

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

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