Question

firsr negative term of the sequence 995,995,991,987,.....​

Answer 1

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

Answer 2

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