The sum of first 14 terms of an A. P. is 1050 and its $14^{t h}$ term is 140. Find the $20^{t h}$ term.

Open in App

Solution

14th term =140
a+13d=140
sum of 1st 14 terms =1050
14(a+a+13d)/2=1050
14(a+140)=1050×2
a+140=2100/14
a+140=150
a=10
a+13d=140
13d=140-10
d=130/13
d=10
20th term=a+19d
=10+19×10
=200

Suggest Corrections

Similar questions

The sum of the first 14 terms of an AP is 1050 and its first term is 10. Find the $20^{t h}$ term. ___

14

1050

10

20^{t h}

If the sum of the first 14 terms of an AP is 1050 and its first term is 10, then the $20^{t h}$ term of this AP will be.

15

750

15

20^{t h}

Join BYJU'S Learning Program