which of the term of the AP : 121,117,113.....,is its first negative term? Please do fast
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A= 121
D=117-121= - 4
An<0
a+(n-1)d<0
121+(n-1)-4 <0
121-4n+4<0
125-4n<0
125<4n
n<125/4
n<31.2
As n is not a perfect number, it is 31.2
Then the nearest value of n is 32.
Justification -
A32=121+31*-4
A32=121-124
A 32=-4
Hence verified
D=117-121= - 4
An<0
a+(n-1)d<0
121+(n-1)-4 <0
121-4n+4<0
125-4n<0
125<4n
n<125/4
n<31.2
As n is not a perfect number, it is 31.2
Then the nearest value of n is 32.
Justification -
A32=121+31*-4
A32=121-124
A 32=-4
Hence verified
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