# Determine the sum of first 35 terms of an A.P., if the second term is 2 and the seventh term is 22.

Given: a2 = 2 and a7 = 22 and n = 35

We know that,

a2 = a + d = 2 …(i)

and a7 = a + 6d = 22 …(ii)

Solving the linear equations (i) and (ii), we get

a + d – a – 6d = 2 – 22

- 5d = -20

d =4

Putting the value of d in eq. (i), we get

a + 4 = 2

a = 2 – 4 = -2

Now, we have to find the sum of first 35 terms.

S35 = 35 [-2 + 34 × 2]

S35 = 35 [66]

S35 = 2310

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Champ Quiz | Arithmetic Progression34 mins
Champ Quiz | Arithmetic Progression30 mins
Lets Check Your Knowledge in A.P.49 mins
Fundamental Theorem of Arithmetic- 143 mins
NCERT | Fundamental Theorem Of Arithmetic45 mins
Quiz on Arithmetic Progression Quiz32 mins
Arithmetic progression: Previous Year NTSE Questions34 mins
Get to Know About Geometric Progression41 mins
NCERT | Solving Questions on Introduction of A.P42 mins
Arithmetic Progression Tricks and QUIZ37 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