firsr negative term of the sequence 995,995,991,987,.....
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Answered by
0
Answer:
Step-by-step explanation:
999, 995, 991,987................
a = 999
d = 995 - 999 = -4
let n = (999 / 4 = 249.7)
n = apprx. 250
then
tn = a + (n-1)d
= 999 + (250 -1) (-4)
= 999 - (4) (249)
= 999 - 996
= 3
so, first negative term is
3 -4 = -1
Answered by
3
Given -
AP =
995,991,987......
a = 995
d = a² - a¹
d = 991 - 995
d = - 4
we know That,
an = a + (n-1)d
Now, According To Given Information
an = 995 + (n-1)-4
an = 995 -4n + 4
999 - 4n < 0
999 < 4n
n < 999/4
n < 249.75
Hence,
the first Negative Term number be 250th Term.
then,
the negative Term be
an = a + (n-1)d
an = 995 + ( 250 -1) -4
an = 995 + 249 × -4
an = 995 - 996
an = -1
Hence,
First Negative Term be -1
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