14. Which tem of the AP-25, -21, - 17,
... is first positive tem?
(a) 9th
(C) 7th
(d) 10th
(b) 8th
Answers
Answered by
0
Answer:
8th
Explanation:
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Answered by
0
Answer:
b) 8th
Explanation:
Given AP: AP-25, -21, - 17 …..
Here, First term = a₁ = - 25
Common difference = d = a₂ - a₁ = - 21 - ( - 25) = - 21 + 25 = 4
Let, the first positive term of the AP be aₙ
∴ aₙ => a + ( n - 1 )d > 0
=> -25 + ( n - 1 )( 4 ) > 0
=> -25 + 4n - 4 > 0
=> 4n > 29
=> n > 29/4
=> n > 7.25
∴ First positive term of the AP will be greater than 7.25.
Hence, first positive term of the given AP will be the 8th term.
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