Question

15th term of an A. P. is 63. 24th term of the A. P. is greater by 16 than its 20th term. Find the A. P.
PLEASE GIVE RIGHT ANSWER !​

Answer 1

$a15 = a + 14d = 63$

$a24 = a + 23d = a20 + 16$

$a + 19d + 16 = a + 23d$

$a + 19d + 16 = 17d + 6d$

$a + 19d + 16 = 23d$

$4d = 16$

$d = \frac{16}{4}$

$d = 4$

$a + 14d = 63$

$a + 14 \times 4 = 63$

$a = 63 - 56$

$a = 7$

$ap \: = a, \: a + d, \: a + 2d, \: a + 3d$

$ap \: = 7,7 + 4,7 + 8 , 7 + 12$

$ap \: = 7, \: 11, \: 15, \: 19$