Find the Nth term of each of the following APs:5,11,17,23....
Answers
Answered by
27
Given sequence 5 , 11 , 17 , 23 ,..
a = 5 ,
a2 - a1 = 11 - 5 = 6 ,
a3 - a2 = 17 - 11 = 6 ,
a2 - a1 = a3 - a2 = 6 = d
Therefore ,
Given sequence is Arithmetic Progression.
first term = a = 5 ,
common difference= d = 6 ,
nth term = an
=> an = a + ( n - 1 )d
= 5 + ( n - 1 )6
= 5 + 6n - 6
= 6n - 1
Therefore ,
an = 6n - 1
••••
a = 5 ,
a2 - a1 = 11 - 5 = 6 ,
a3 - a2 = 17 - 11 = 6 ,
a2 - a1 = a3 - a2 = 6 = d
Therefore ,
Given sequence is Arithmetic Progression.
first term = a = 5 ,
common difference= d = 6 ,
nth term = an
=> an = a + ( n - 1 )d
= 5 + ( n - 1 )6
= 5 + 6n - 6
= 6n - 1
Therefore ,
an = 6n - 1
••••
Answered by
5
Answer:
Step-by-step explanation:
THE GIVEN AP IS 5,11,17,23
FIRST TERM or a= 5
COMMOM DIFFERENCE or d= 11-5=6
The nth term of the Ap is given by
Tn=a+(n-1)d
=5+(n-1) 6
=5+6n-6
=6n-1
This your answer
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