find the 1st negative term of the A.P 2000,1990,1980,1970.......
step by step explanation
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term 202, value -10
Step-by-step explanation:
find the 1st negative term of the A.P 2000,1990,1980,1970.......
As we see,
- 1. the common difference is -10 and
- 2. all terms are multiples of 10
One of the term will get 0 value and the next term after will be -10, so the first negative term is -10.
Lets calculate number of the term with 0 and first negative value:
- a₁=2000
- d=-10
- aₙ=2000+(n-1)d = 2000- 10(n-1) =0 =>
- n-1=200 => n=201
So a₂₀₁=0 and the next term a₂₀₂= -10
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