Question

Which term of ap -7,-12,-17,-22 will be -82?Is -100 any term of ap? Give reason?

Answer 1

Answer:

Step-by-step explanation:

Here,a = -7 and d = -5 and a^n = -82

Now,a^n=a+(n-1)d

-82=-7+(n-1)-5

-82+7=(n-1)-5

-75=(n-1)-5

-75/-5=(n-1)

15=(n-1)

n=15+1

n=16

-100 is not a term

i.e>-100=-7+(n-1)-5

-100+7=(n-1)-5

-93=(n-1)-5

-93/-5=(n-1)

93/5=(n-1)

n=93/5+1

n=93+5/5

n=98/5

since,n can not be in fraction therefore -100 is not a term.