Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Find the number of terms in each of the following APs : (i) 7, 13, 19, . . . , 205

Q : 5     Find the number of terms in each of the following APs :

            (i)  \small 7,13,19,...,205

Answers (1)

best_answer

Given AP series is 
\small 7,13,19,...,205
Let's suppose there are n terms in given AP
Then, 
a = 7 , a_n = 205
And 
d= a_2-a_1 = 13-7 = 6
Now, we know that
a_n =a + (n-1)d
\Rightarrow 205=7 + (n-1)6
\Rightarrow 205-7 = 6n-6
\Rightarrow n = \frac{198+6}{6} = \frac{204}{6} = 34
Therefore, there are 34 terms in given AP
 

Posted by

Gautam harsolia

View full answer

Similar Questions

Trending Articles/News

anam-khan

CBSE Class 10 board exams from February 15 to March 18; download date sheet 2025 PDF
anam-khan

CBSE Date Sheet 2025 Live: CBSE Class 10, 12 board exam timetable soon at cbse.gov.in; practical dates
anam-khan

CBSE Date Sheet 2025 Live: CBSE to announce Class 10, 12 board exam dates soon at cbse.gov.in; sample paper

Latest Question