1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

# Find the number of terms of the given AP: 7,13,19....,205

A

34,27

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
B

26,35

No worries! We‘ve got your back. Try BYJU‘S free classes today!
C

27,34

No worries! We‘ve got your back. Try BYJU‘S free classes today!
D

35,26

No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is A 34,27 Formula to find nth term of arithmetic progression is tn=a1+(n−1)d where, 'a1' is the first term, 'd' is the common difference, 'n' is the number of terms, 'tn' is the nth term. Given, a1=7 , a2=13, tn=205 d = a2 - a1 = 13 - 7 = 6 Substituting the values in the formula tn=a+(n−1)d to find nth term of arithmetic progression, we get 205=7+(n−1)6 ⇒205=6n+1 ⇒204=6n ⇒n=2046=34 Therefore, there are 34 terms in the given arithmetic progression.

Suggest Corrections
68
Join BYJU'S Learning Program
Related Videos
General Term of an AP
MATHEMATICS
Watch in App
Explore more
Join BYJU'S Learning Program