the 7th term of an ap is -4 and 13th is -16 . find the ap
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Step-by-step explanation:
7th term = a + 6d = - 4
13th term = a + 12d = -16
subtract 13th term - 7th term
a + 12d = - 16
- (a + 6d = - 4)
a + 12d = - 16
- a - 6d = 4
this gives
6d = - 12
d = -12/6
d = - 2
substitute d = - 2 in 7th term
a + 6d = - 4
a + 6(-2) = - 4
a - 12 = - 4
a = -4 + 12
a = 8
we have a = 8 and d = -2
the AP will be
a, a + d, a + 2d, .........
8, 8 + (-2), 8 + 2(-2) ............
8, 6, 4, 2 ...........
hope you get your answer
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