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Step-5

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 \$6^(th)\$ terms the given geometric progression : 7,35,175,…
2	Step	We can find the common ratio (r) between any two consecutive terms in the geometric progression by dividing the second term by the first term:
3	Step	\$r = 35/7 = 5\$
4	Step	We can then 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 n is the term number
6	Step	To find the 6th term, we substitute \$a_1 = 7, r = 5\$, and n = 6 into the formula:
7	Step	\$a_6 = 7 * 5^(6-1) = 7 * 5^5 = 7 * 3125 = 21875\$
8	Step	Therefore, the 6th term in the geometric progression 7, 35, 175, … is 21,875
9		Answer	C

Step

Type

Explanation

Answer

Problem

Find the \$6^(th)\$ terms the given geometric progression : 7,35,175,…

Step

We can find the common ratio (r) between any two consecutive terms in the geometric progression by dividing the second term by the first term:

Step

\$r = 35/7 = 5\$

Step

We can then 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 n is the term number

Step

To find the 6th term, we substitute \$a_1 = 7, r = 5\$, and n = 6 into the formula:

Step

\$a_6 = 7 * 5^(6-1) = 7 * 5^5 = 7 * 3125 = 21875\$

Step

Therefore, the 6th term in the geometric progression 7, 35, 175, … is 21,875

Answer