Which term in the A.p. 60, 56, 52,48
44, 40,
is the first Negative
term
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Answer:
17th term
Step-by-step explanation:
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Concept:
For finding the first negative term, we need to find the term which will be close to zero as the next term will be the negative term.
Given:
We are given an AP:
60, 56, 52,48, 44, 40, ...
Find:
We need to find its first negative term.
Solution:
For finding the first negative term, we will equate:
aₙ = a + (n - 1) d = 0.
Here,
a = 60
d = -4
We get that:
60 + (n - 1 ) (-4) = 0
60 - 4n + 4 = 0
4n = 64
n = 64 / 4
n = 16.
We get that the 16th term of the AP will be 0.
So, the 17th term will be the first negative term.
Therefore, we get that the 17th term will be the first negative term.
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