If the 3rd and the 9th terms of an A.P. are 4 and − 8 respectively, then which term of this A.P is zero.
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If the 3rd and the 9th terms of an A.P. are 4 and − 8 respectively, then which term of this A.P is zero.
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Answer:
5th
Step-by-step explanation:
Given -
a + 2d = 4
a + 8d = -8
To find -
Solution-
→ now, 1 - 2
→ -6d = 12
d = -2 (putting in 1)
→ a + 2(-2) = 4
a -4 = 4
a = 4 + 4
a = 8
→ a(n) = 0
a(n) = a + (n - 1)d
0 = 8 + (n - 1)(-2)
-8 = -2n + 2
-8 - 2 = -2n
-10 = -2n
-10/-2 = n
5 = n
therefore , 5th term of the ap will be 0
Answer:
n = 5
Step-by-step explanation:
5th term of the ap will be 0