Advertisement Remove all ads

The First and the Last Term of an Ap Are 17 and 350 Respectively. If the Common Difference is 9, How Many Terms Are There and What is Their Sum? - Mathematics

The first and the last term of an AP are 17 and 350 respectively. If the common difference is 9, how many terms are there and what is their sum?

Advertisement Remove all ads

Solution

Given that,

a = 17

l = 350

d = 9

Let there be n terms in the A.P.

l = a + (n − 1) d

350 = 17 + (n − 1)9

333 = (n − 1)9

(n − 1) = 37

n = 38

`S_n = n/2(a+l)`

`=>S_n=38/2(17+350) = 19(367)= 6973`

Thus, this A.P. contains 38 terms and the sum of the terms of this A.P. is 6973.

  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

NCERT Class 10 Maths
Chapter 5 Arithmetic Progressions
Exercise 5.3 | Q 6 | Page 113
Advertisement Remove all ads
Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×