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Lesson Example Discussion Quiz: Class Homework

Step-1

Title: Geometric progression

Grade: 9-a Lesson: S4-L8

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Find the \$8^(th)\$ terms the given geometric progression : 2,6,18,…
2	Step	We can find the common ratio (r) of the geometric progression by dividing any term by its preceding term. Let’s divide the second term by the first term:
3	Step	\$r = 6/2 = 3\$
4	Step	So the common ratio is 3
5	Formula:	To find the 8th term, we can use the formula for the nth term of a geometric progression: *\$a_n = a_1 r^(n-1)\$**
6	Step	where \$a_1\$ is the first term, r is the common ratio, and n is the term number we want to find Plugging in the given values, we get:
7	Step	\$a_8 = 2 * 3^(8-1) = 2 * 3^7 = 4374\$
8	Step	Therefore, the 8th term of the given geometric progression is 4374
9		Answer	A

Step

Type

Explanation

Answer

Problem

Find the \$8^(th)\$ terms the given geometric progression : 2,6,18,…

Step

We can find the common ratio (r) of the geometric progression by dividing any term by its preceding term. Let’s divide the second term by the first term:

Step

\$r = 6/2 = 3\$

Step

So the common ratio is 3

Formula:

To find the 8th term, we can use the formula for the nth term of a geometric progression:

\$a_n = a_1 * r^(n-1)\$

Step

where \$a_1\$ is the first term, r is the common ratio, and n is the term number we want to find Plugging in the given values, we get:

Step

\$a_8 = 2 * 3^(8-1) = 2 * 3^7 = 4374\$

Step

Therefore, the 8th term of the given geometric progression is 4374

Answer