the second term of Arithmetic progression is 4,10th term is 20 then the 15th term is
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A2 = 4 , A10 = 20 , A15 = ?
A2 = a + d
4 = a + d ........eq.1
A10 = a + 9d
20 = a + 9d........eq.2
from equation 1 and 2
a + d = 4
a + 9d = 20
_________
- 8d = -16
_________
d = 2
put value of d in equation 1
a + d = 4
a + 2. = 4
a. = 2
thus
A15 = a + 14d
= 2 + 14 (2)
= 2 +28
= 30
thus 15th term is 30
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