Alerts
Wishlist
Cart
Sign In
Categories
Current Affairs & GK
Current Affairs
Show All Current Affairs & GK
eBooks
General Aptitude
Arithmetic Aptitude
Data Interpretation
Show All General Aptitude
General Knowledge
Basic General Knowledge
General Science
Show All General Knowledge
Medical Science
Anatomy
Biochemical Engineering
Biochemistry
Biotechnology
Microbiology
Show All Medical Science
Technical
Database
Digital Electronics
Electronics
Networking
Show All Technical
Verbal and Reasoning
Logical Reasoning
Verbal Ability
Verbal Reasoning
Show All Verbal and Reasoning
›
If the second term of a geometric progression is 12 and the common ratio is 3, w
If the second term of a geometric progression is 12 and the common ratio is 3, what is the first term?
Expand All
Collapse All
Practice Questions
1 question
Q1
If the second term of a geometric progression is 12 and the common ratio is 3, what is the first term?
4
6
9
3
Show Solution
Copy
Let the first term be a. The second term is a * r = a * 3 = 12, thus a = 12/3 = 4.
Questions & Step-by-step Solutions
1 item
Q
Q: If the second term of a geometric progression is 12 and the common ratio is 3, what is the first term?
Solution:
Let the first term be a. The second term is a * r = a * 3 = 12, thus a = 12/3 = 4.
Steps: 6
Show Steps
Step 1: Identify the first term of the geometric progression as 'a'.
Step 2: Understand that the second term can be calculated by multiplying the first term 'a' by the common ratio 'r'.
Step 3: Since the common ratio 'r' is given as 3, write the equation for the second term: second term = a * r = a * 3.
Step 4: We know from the question that the second term is 12, so we can set up the equation: a * 3 = 12.
Step 5: To find 'a', divide both sides of the equation by 3: a = 12 / 3.
Step 6: Calculate the value: a = 4.
Related Questions
W
Which sentence would best fit in the blank space in the following paragraph? 'Wh
Question: Which sentence would best fit in the blank space in the following paragraph? \'While socia..
W
Which of the following is NOT a property of geometric progressions?
Question: Which of the following is NOT a property of geometric progressions?Options: The product of..
W
What can be inferred about the author's attitude towards social media?
Question: What can be inferred about the author\'s attitude towards social media?Options: The author..
W
What is the author's main argument regarding the future of social media?
Question: What is the author\'s main argument regarding the future of social media?Options: It will ..
W
Which of the following words best captures the essence of the author's perspecti
Question: Which of the following words best captures the essence of the author\'s perspective on soc..
‹
Biology (School & UG)
Chemistry (School & UG)
Civil Engineering
Commerce & Accountancy
Computer Science & IT
Current Affairs & GK
Data Structures & Algorithms
eBooks
Electrical & Electronics Engineering
English (School)
General Aptitude
General Knowledge
General Knowledge & Current Affairs
Languages & Literature
Law & Legal Studies
Major Competitive Exams
Mathematics (School)
Mechanical Engineering
Medical Science
Physics (School & Undergraduate)
Quantitative Aptitude & Reasoning
Social Science (School)
Technical
Verbal and Reasoning
Vocational & Skill Development
›
Soulshift Feedback
×
On a scale of 0–10, how likely are you to recommend
The Soulshift Academy
?
0
1
2
3
4
5
6
7
8
9
10
Not likely
Very likely
✕
↑
