Here are the first four terms of an arithmetic sequence : 5,11,17,23 write down an expression in terms of n
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Answer:
The nth term of the series is T_n=6n-1T
n
=6n−1
Step-by-step explanation:
Given : The series is 5,11,17,23,...
To find : The nth term of the AP 5,11,17,23,...
Solution : In the Arithmetic progression series
The nth term of the series is
T_n=a_1+(n-1)dT
n
=a
1
+(n−1)d
where, a_1a
1
is the first term of the series , d is the common difference and n is the number of term.
Series is 5,11,17,23,...
where a_1=5a
1
=5 , d=11-5=17-11...= 6 and n=n .
T_n=a_1+(n-1)dT
n
=a
1
+(n−1)d
T_n=5+(n-1)6T
n
=5+(n−1)6
T_n=6n-1T
n
=6n−1
Therefore, The nth term of the series is T_n=6n-1T
n
=6n−1
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