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Geometric Progression Problems - easy

Problem №1

Find the quotient q of a geometric progression ${a_n}$ , for which $a_1=5$ , $a_2=15$

Problem №2

Find the sum of the infinite geometric progression ${a_n}$ , defined by $a_1=1$ and $q=\frac{1}{2}$

Problem №3

Let ${a_n}$ be a geometric progression, defined as $a_1=1$ and $q=5$ . Find the sum $a_1+a_2+a_3+a_4+a_5$

Problem №4

Let ${a_n}$ be a geometric progression, such that $a_1=2$ and $q=3$ . Find the sum of the first five elements.

Problem №5

Let ${a_n}$ be an increasing geometric progression. If $a_1=2$ and $a_5=162$ , determine $a_3$

Problem №6

${a_n}$ is a geometric progression. If $a_1=5$ and $a_2=10$ , find $a_6$

Problem №7

Let ${a_n}$ be a geometric progression with quotient $q=\frac{1}{3}$ . If $a_4=12$ , find $a_1$ .

Problem №8

Find the fourth member of a geometric progression ${a_n}$ , for which $a_1=2$ and $q=3$ .

Problem №9

Find the quotient q of an alternating geometric progression ${a_n}$ , for which $a_1=125$ and $a_3=5$ .

Problem №10

Determine the quotient q of a geometric progression ${a_n}$ , for which $a_1=5$ and $a_4=-40$

Problem №11

Determine the quotient q of an increasing geometric progression ${a_n}$ , for which $a_1=5$ and $a_3=20$ .

Problem №12

Find the quotient q of a geometric progression ${a_n}$ , for which $a_1=-1$ , $a_2=5$

Problem №13

Determine $a_3$ , if $a_n$ is a geometric progression and
$\begin{tabular}{|l}a_4-a_2=18\\a_5-a_3=36\end{tabular}$ .

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