Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
+1 vote
809 views
in Mathematics by (955 points)
The ninth term of an AP is equal to 7 times the 2nd term and 12th term exceeds five times the third term by 2. Find the first term and common difference.

1 Answer

+1 vote
by (14.7k points)
selected by
 
Best answer

We have, A9=7*a2 
a12=5a3+2 

So, 
a9=(a+d)7 
a12=5(a+2d)+2 

So, 
a+8d=7a+7d, 

d=6a 
a+11d=5a+10d+2, 
d=4a+2, 
2a=2, 
a=1 
d=6a=6 

So, first term is 1 & common difference is 6.

Related questions

+1 vote
1 answer
+1 vote
1 answer
+3 votes
1 answer
asked Feb 17 in Circles by Krishna0080 (45 points)
0 votes
1 answer
asked Feb 14 in Circles by Krishna0080 (45 points)

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...