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Step-3

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 \$10^(th)\$ terms the given geometric progression : 5,10,20,…
2	Step	The common ratio between any two consecutive terms in this geometric progression is:
3	Step	\$r = 10/5 = 2\$
4	Step	To find the 10th term, we can use the formula for the nth term of a geometric progression: *\$a_n = a_1 r^(n-1)\$**
5	Step	where \$a_1\$ is the first term and r is the common ratio
6	Step	Substituting the given values, we get:
7	Step	\$a_10 = 5 * 2^(10-1)\$
8	Step	\$a_10 = 5 * 2^9\$
9	Step	\$a_10 = 5 * 512\$
10	Step	\$a_10 = 2560\$
11	Step	Therefore, the 10th term in the geometric progression 5, 10, 20, … is 2560
12		Answer	B

Step

Type

Explanation

Answer

Problem

Find the \$10^(th)\$ terms the given geometric progression : 5,10,20,…

Step

The common ratio between any two consecutive terms in this geometric progression is:

Step

\$r = 10/5 = 2\$

Step

To find the 10th 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 and r is the common ratio

Step

Substituting the given values, we get:

Step

\$a_10 = 5 * 2^(10-1)\$

Step

\$a_10 = 5 * 2^9\$

Step

\$a_10 = 5 * 512\$

Step

\$a_10 = 2560\$

Step

Therefore, the 10th term in the geometric progression 5, 10, 20, … is 2560

Answer