Question

5. Which term of the A.P. 27, 24, 21,…..will be first negative?​

Answer 1

Answer:

a =27

d = 24-27 = (-3)

an = 0

an = a +(n-1) d

0 = 27+(n-1) (-3)

-27 = (-3) (n-1)

9 = n-1

10 = n

then 11 th term is the negative term of the A.P.

Answer 2

Answer:

Here a = 24 and d = (21-24) =-3.

Let the nth term of the given AP be the first negative term.

Then, Tn<0⇒{a+(n−1)d}<0

⇒{24+(n−1)×(−3)}<0

⇒(27−3n)<0⇒27<3n

⇒3n>27⇒n>9.

∴n=10

Hence, the 10th term is the first negative term of the given AP.

Step-by-step explanation:

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