Question

which term of AP 121, 117, 113, is first negative

Answer 1

n= 32nd term

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Answer 2

Answer:

32 TERM.

Step-by-step explanation:

NOW ,

REMEMBER THAT : aₙ= a + (n - 1)d.

NOW , FROM THE A.P : a= 121      and     d= -4.

AS WE ARE FINDING FIRST NEGETIVE TERM , IT WILL BE LESS THAN 0.

SO,

LET THE FIRST NEGETIVE TERM BE  aₙ= a + (n - 1)d , SO

aₙ < 0

a + (n - 1)d < 0

121 -4n + 4 <0

4n>125

n>31¹₄

NOW , AS n IS GREATER THAN 31¹₄ , IT WILL BE THE NEXT GREATER NUMBER OR ,

n = 32 term.

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