Question

Find the 1st negative term of the AP: 121, 117, 113 ...
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Answer 1

Step-by-step explanation:

please give this brainist Answer

32 term negative

Answer 2

★ Given:

• First term = a = 121
• Common difference = d = 117 - 121 = -4

★ To find:

• The first negative term = ?

★ Solution:

For solving such questions, we use the formula;

aₙ = a + (n - 1)d

and find out the value of n.

According to the question

Since we are finding the first negative term,

aₙ < 0

⇒ a + (n - 1)d < 0

⇒ 121 + (n - 1)(-4) < 0

⇒ 121 - 4n + 4 < 0

⇒ 125 - 4n < 0

⇒ 125 < 4n

⇒ 4n > 125

⇒ n > 125 ÷ 4

⇒ n > 31.25

Rounding off to the next whole number,

n = 32

So, the 32nd term is the first negative term of the A.P.