Which is the 14th term from the end of the arithmetic progression 7, 24, 41,..., 704?
Given:
a = 7
d = 24 – 7 = 17
n = ?
Tn = a + (n-1)*d
704 = 7+ (n- 1)*17
704 = 7+ 17n – 17
704 = 17n – 10
714 = 17n
n = 714/17 = 42
Total number of terms = 42,
therefore 14th term from the end will be 29th term
N = 29
T29 = 7 + (29-1) * 17
= 7+28*17
= 7+476
T29 = 483