Question

23. Is -150 a term of the AP 11, 8, 5, 2, ...?​

Answer 1

Answer:

no -150 not a part of Ap series 11,8,5,2

Step-by-step explanation:

first of all we find all standard notation

the first term of ap a= 11

difference= (n+1th term)-(nth term)

d= 8-11 = (-3)

then from the formula of nth term is

a~n=a + (n-1) × d

for checking the number in ap let -150 is number of ap so there exist a natural number n for it

let's check

(-150)= 11+ (n-1)(-3)

-150-11 = (n-1)(-3)

-161 = (n-1) (-3)

(-161)÷(-3) = n-1

n= 53.67+1

n=54.67

there there is not such natural number n exist in this series for that -150 is not a part of series