Q. 5 B

# In an A.P. 5th te

Formula Used.

an = a + (n–1)d

a5 = a + (5–1)d

a5 = a + 4d

If 5th term of A.P is given as 17

Then,

a + 4d = 17

we get a = 17–4d ......eq 1

a9 = a + (9–1)d

a9 = a + 8d

If 9th term of A.P is given as 35 + 2nd term

Then,

a2 = a + (1)d

= a + d

a + 8d = 35 + [a + d]

we get

a–a + 8d–d = 35

7d = 35

d = = 5 ......eq 2

Putting d in eq 1 we get ;

a = 17–(4×5)

= 17–20 = –3

As a = –3 and d = 5

Then;

a1 = a + (n–1)d = –3 + (1–1)(5) = –3

a2 = a + (n–1)d = –3 + (2–1)(5) = –3 + (5)×1 = –3 + 5 = 2

a3 = a + (n–1)d = –3 + (3–1)(5) = –3 + (5)×2 = –3 + 10 = 7

a4 = a + (n–1)d = –3 + (4–1)(5) = –3 + (5)×3 = –3 + 15 = 12

an = a + (n–1)d = –3 + (n–1)(5) = –3 + 5n–5 = 5n–8

The A.P is –3, 2, 7, 12, ……, 5n–8

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  Arithmetic Progression- Don't miss these Questions56 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses RELATED QUESTIONS :

In an A.P. 5th teGujarat Board Mathematics

Which term of A.PGujarat Board Mathematics

If in an A.P., T<Gujarat Board Mathematics

If in an A.P., T<Gujarat Board Mathematics

Find the 10th terGujarat Board Mathematics

Which term of A.PGujarat Board Mathematics

Can any term of AGujarat Board Mathematics

If for A.P., T<suGujarat Board Mathematics

For A.P. T18Gujarat Board Mathematics

Find the nth termGujarat Board Mathematics