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
›
In a GP, if the first term is 7 and the common ratio is 1/2, what is the 6th ter
In a GP, if the first term is 7 and the common ratio is 1/2, what is the 6th term?
Expand All
Collapse All
Practice Questions
1 question
Q1
In a GP, if the first term is 7 and the common ratio is 1/2, what is the 6th term?
0.4375
0.5
1
1.75
Show Solution
Copy
The 6th term is given by 7 * (1/2)^(6-1) = 7 * (1/32) = 0.4375.
Questions & Step-by-step Solutions
1 item
Q
Q: In a GP, if the first term is 7 and the common ratio is 1/2, what is the 6th term?
Solution:
The 6th term is given by 7 * (1/2)^(6-1) = 7 * (1/32) = 0.4375.
Steps: 8
Show Steps
Step 1: Identify the first term of the GP, which is 7.
Step 2: Identify the common ratio of the GP, which is 1/2.
Step 3: Use the formula for the nth term of a GP: a_n = a * r^(n-1), where a is the first term, r is the common ratio, and n is the term number.
Step 4: Substitute the values into the formula for the 6th term: a_6 = 7 * (1/2)^(6-1).
Step 5: Calculate the exponent: 6 - 1 = 5, so we have a_6 = 7 * (1/2)^5.
Step 6: Calculate (1/2)^5, which is 1/32.
Step 7: Multiply 7 by 1/32: 7 * (1/32) = 7/32.
Step 8: Convert 7/32 to a decimal: 7 divided by 32 equals 0.4375.
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
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..
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..
‹
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
✕
↑
