CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon


Question

If tn represents nth term of an A. P., t2+t5t3=10 and t2+t9=17 , find its first term and its common difference.


Solution

given

, t2+t5−t3=10 and t2+t9=17 
using tn=a+(n-1)d
t2+t5−t3=10, can be written as a +3d=10 which can also be written as 2a+6d=20......................(1)
simmilarly
t2+t9=17,can be written as 2a+9d=17.......................(2)
subtracting both equations 

3d=-3
d=-1=common difference

so 
a=13=first term

Mathematics
Concise Mathematics
Standard X

Suggest Corrections
thumbs-up
 
0


similar_icon
Similar questions
View More


similar_icon
Same exercise questions
View More


similar_icon
People also searched for
View More



footer-image