UPSC Exam > UPSC Questions > The 3rd term of arithmetic progression is 7 a...
Start Learning for Free
The 3rd term of arithmetic progression is 7 and the 7 term is 15.find the comman difference and the first term.?
Most Upvoted Answer
The 3rd term of arithmetic progression is 7 and the 7 term is 15.find ...
Given information:
- 3rd term (a3) = 7
- 7th term (a7) = 15
Finding the common difference (d):
- Using the formula for the nth term of an arithmetic progression: an = a1 + (n-1)d
- Substituting the given values, we get:
a3 = a1 + 2d (since n=3)
a7 = a1 + 6d (since n=7)
- From the given data, we have a3 = 7 and a7 = 15
- Substituting these values, we get:
7 = a1 + 2d
15 = a1 + 6d
- Subtracting the first equation from the second, we get:
15 - 7 = 6d - 2d
8 = 4d
d = 2
Finding the first term (a1):
- Using the formula for the nth term of an arithmetic progression: an = a1 + (n-1)d
- Substituting the values of a3 and d, we get:
7 = a1 + 2(2)
7 = a1 + 4
a1 = 3
Conclusion:
- The common difference (d) is 2
- The first term (a1) is 3.
- 3rd term (a3) = 7
- 7th term (a7) = 15
Finding the common difference (d):
- Using the formula for the nth term of an arithmetic progression: an = a1 + (n-1)d
- Substituting the given values, we get:
a3 = a1 + 2d (since n=3)
a7 = a1 + 6d (since n=7)
- From the given data, we have a3 = 7 and a7 = 15
- Substituting these values, we get:
7 = a1 + 2d
15 = a1 + 6d
- Subtracting the first equation from the second, we get:
15 - 7 = 6d - 2d
8 = 4d
d = 2
Finding the first term (a1):
- Using the formula for the nth term of an arithmetic progression: an = a1 + (n-1)d
- Substituting the values of a3 and d, we get:
7 = a1 + 2(2)
7 = a1 + 4
a1 = 3
Conclusion:
- The common difference (d) is 2
- The first term (a1) is 3.
Attention UPSC Students!
To make sure you are not studying endlessly, EduRev has designed UPSC study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in UPSC.
|
Explore Courses for UPSC exam
|
|
Similar UPSC Doubts
Top Courses for UPSCView all
The 3rd term of arithmetic progression is 7 and the 7 term is 15.find the comman difference and the first term.?
Question Description
The 3rd term of arithmetic progression is 7 and the 7 term is 15.find the comman difference and the first term.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The 3rd term of arithmetic progression is 7 and the 7 term is 15.find the comman difference and the first term.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The 3rd term of arithmetic progression is 7 and the 7 term is 15.find the comman difference and the first term.?.
The 3rd term of arithmetic progression is 7 and the 7 term is 15.find the comman difference and the first term.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The 3rd term of arithmetic progression is 7 and the 7 term is 15.find the comman difference and the first term.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The 3rd term of arithmetic progression is 7 and the 7 term is 15.find the comman difference and the first term.?.
Solutions for The 3rd term of arithmetic progression is 7 and the 7 term is 15.find the comman difference and the first term.? in English & in Hindi are available as part of our courses for UPSC.
Download more important topics, notes, lectures and mock test series for UPSC Exam by signing up for free.
Here you can find the meaning of The 3rd term of arithmetic progression is 7 and the 7 term is 15.find the comman difference and the first term.? defined & explained in the simplest way possible. Besides giving the explanation of
The 3rd term of arithmetic progression is 7 and the 7 term is 15.find the comman difference and the first term.?, a detailed solution for The 3rd term of arithmetic progression is 7 and the 7 term is 15.find the comman difference and the first term.? has been provided alongside types of The 3rd term of arithmetic progression is 7 and the 7 term is 15.find the comman difference and the first term.? theory, EduRev gives you an
ample number of questions to practice The 3rd term of arithmetic progression is 7 and the 7 term is 15.find the comman difference and the first term.? tests, examples and also practice UPSC tests.
|
|
Explore Courses for UPSC exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup