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Kristin Fracchia

ACT Challenge Question 14: Geometric Series

Magoosh ACT Challenge Question


ACT Math Challenge Question fresh out the oven below! This one is a tough problem having to do with geometric sequences. The trick is you aren’t given the first term, nor are you given the sum. Do you know how to solve it anyway? Let us know your answer and how you got it in the comments–we’ll reveal the answer and explanation on Friday, so get solvin’!

In a geometric sequence in which all of the terms are positive, the second term is 2 and the fourth term is 10. What is the value of the seventh term in the sequence?



About Kristin Fracchia

Kristin makes sure Magoosh's blogs are chock-full of awesome, free resources for students preparing for standardized tests. With a PhD from UC Irvine and degrees in Education and English, she’s been working in education since 2004 and has helped students prepare for standardized tests, as well as college and graduate school admissions, since 2007. She enjoys the agonizing bliss of marathon running, backpacking, hot yoga, and esoteric knowledge.

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