In an Ap if the 3rd term is 4 and 9th term is -8 then find its 5th term
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Answer:
5th term is 0.
Step-by-step explanation:
a3 = 4
a9 = -8
Using Formula
an = a + (n - 1)d
a + (3-1)d = 4
a + 2d = 4____(1)
a + (9-1)d = -8
a + 8d = -8____(2)
Subtracting eq. 1 and 2
a + 2d = 4
a + 8d = -8
-6d = 12
d = -12/6 = -2
Putting value of d in eq 1
a + 2d = 4
a + 2× -2 = 4
a - 4 = 4
a = 4+4
a = 8
Finding 5th term
a5 = a + (n-1)d
= 8 + (5-1)-2
= 8 + 4×-2
= 8 - 8
= 0
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