The eight term of an AP is half its second term and eleventh term exceeds one - third of its fourth term by 1. Find the 15th term.
Class 10
Arithmetic Progressions
Share
The eight term of an AP is half its second term and eleventh term exceeds one - third of its fourth term by 1. Find the 15th term.
Class 10
Arithmetic Progressions
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
=>2a + 14d = a + d
a = -13d
a + 10d = 1/3(a + 3d) + 1
a + 10d -1 = 1/3(a + 3d)
3(a + 10d -1) = a +3d
3a + 30d -3 = a + 3d
2a + 27d =3
2(-13d) + 27d =3(since a = -13d)
-26d + 27d = 3
=> d = 3
a= -13d
=> a = -39
a + 14d = -39 + 42
hence a15 =3