Question

Which term of the Arithmetic Progression - 7,-12,-17,-22 will be -82 ? Is -100 any term of the A.P. ? Give reason for your answer.

Answer 1

a= -7

d= -5

an= a + (n-1)d

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

-82=-7+5-5n

80=5n

n=16

16th term is -82

For an=-100

-100=-7+5-5n

-98=-5n

(Here n turns out to be in rational form which is not possible so there is no -100 in the AP.)

Answer 2

Answer:

a= -7

d= -5

an= a + (n-1)d

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

-82=-7+5-5n

80=5n

n=16

16th term is -82

For an=-100

-100=-7+5-5n

-98=-5n

(Here n turns out to be in rational form which is not possible so there is no -100 in the AP.)

Step-by-step explanation: